Background Statement for SEMI Draft Document 4724A New Standard: MEASUREMENT METHOD OF LED LIGHT BAR FOR LIQUID CRYSTAL DISPLAYS
|
|
- Posy Smith
- 5 years ago
- Views:
Transcription
1 Bacground Statement for SEMI Draft Document 474A New Standard: MEASUREMENT METHOD OF LED LIGHT BAR FOR LIQUID CRYSTAL DISPLAYS Note: Ths bacground statement s not part of the balloted tem. It s provded solely to assst the recpent n reachng an nformed decson based on the ratonale of the actvty that preceded the creaton of ths document. Note: Recpents of ths document are nvted to submt, wth ther comments, notfcaton of any relevant patented technology or copyrghted tems of whch they are aware and to provde supportng documentaton. In ths contet, patented technology s defned as technology for whch a patent has ssued or has been appled for. In the latter case, only publcly avalable nformaton on the contents of the patent applcaton s to be provded. Bacground Statement: Wth ncreasng use of LED lght bar as a lght source for lqud crystal dsplays, there are requests for electrooptcal and mechancal performances to be evaluated. However, they have not been standardzed so far. Ths proposed standard s developed to solve ths problem and to provde relevant test methods of LED lght bar for LCD baclght unts. The results of ths ballot wll be dscussed at the net Tawan LED Baclght TF meetng scheduled on September 3, 010. If you have any questons, please contact to the LED Baclght Tas Force co-leaders: L-Fen Ten, Carol_Ten@tr.org.tw Chun-Hsang Wen, CHWen@tr.org.tw Gaga Kuo, Gaga@auo.com
2 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/010 SEMI Draft Document 474A NEW STANDARD: MEASUREMENT METHOD OF LED LIGHT BAR FOR LIQUID CRYSTAL DISPLAYS 1 Purpose 1.1 Ths measurement standard defnes measurement methods for varous characterstcs of lght emttng dode (LED lght bar for lqud crystal dsplays (LCDs. Ths standard wll be helpful to unfy methodologes used for measurement of LED lght bar qualty, whch can mprove LED baclght unt standard reproducton characterstcs or fdelty to orgnal desgn rule. Scope.1 Ths standard s a generc specfcaton for electro-optcal and mechancal measurement methods of LED lght bar for Lqud Crystal Dsplays (LCDs.. Ths standard s only for common types of LED lght bar of the edge (or sde type baclght unt and general purpose for methodology. The types of LED on the LED lght bar cover both sde-vew and top-vew surface mount devce (SMD LEDs..3 The standard ncludes practcal methodologes of flu, ntensty, color, and geometrc specfcaton measurements. These optcal performances apply to practcal operatonal condtons such as an etended source, rather than a mult-pont-source. NOTICE: Ths standard does not purport to address safety ssues, f any, assocated wth ts use. It s the responsblty of the users of ths standard to establsh approprate safety and health practces and determne the applcablty of regulatory or other lmtatons pror to use. 3 Referenced Standards and Documents 3.1 SEMI Standard SEMI D36 Termnology for LCD Baclght Unt 3. CIE Standard 1 CIE 15:004 3rd edton Colormetry CIE 17:007 nd edton Measurement of LEDs CIE 84:1989 The Measurement of Lumnous Flu NOTICE: Unless otherwse ndcated, all documents cted shall be the latest publshed versons. 4 Termnology 4.1 Abbrevatons and Acronyms LED lght emttng dode 4.1. LGP lght gude plate PCB prnted crcut board SMD surface mount devce CRM certfed reference materal 4. Optcal/Mechancal Defntons 4..1 edge (or sde type LED baclght unt a baclght unt wth one or more LED lght bars coupled wth one or more edges of the LGP of baclght unt. Lght emts orgnally from the edge (rather than from bottom to top of LGP (shown n Fgure LED lght bar a strp lght source wth multple LEDs (SMD or other pacage type LED mounted along on a strp PCB. In general, all the LEDs emt the chef optcal radaton n the same drecton top-vew SMD LED a SMD LED whose (optcal radaton emttng surface s parallel to the PCB surface (shown n Fgure. 1 Internatonal Commsson On Illuson, Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 1 Doc. 474A SEMI
3 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/ sde-vew SMD LED a SMD LED whose (optcal radaton emttng surface s normal to the PCB surface (shown n Fgure 3. ŷ ẑ Fgure 1 Structure of the Edge Type LED Baclght Unt Showng the Coordnate System for the Left Edge LED Lght Bar, and the Lght Bar May be Populated wth ether Top-vew or Sde-vew SMD LEDs PCB ˆ y o, Lght Optcal Flms / Dffuser Reflector LGP LED Lght Bar PCB front Surface Lght Gude Optcal Radaton Emttng Surface z ˆo, Fgure Cross Secton of Top-vew SMD LED Couplng wth a Lght Gude Plate ˆ y o, ˆ z o, ˆ o, PCB front Surface Optcal Radaton Emttng Surface Fgure 3 Cross Secton of Sde-vew SMD LED, Optcal Radaton As s Z-as 4..5 algnment mar an aulary mar used to ndcate the LED specfc mountng poston on the PCB (shown n Fgure specfc orgn a center coordnate (-y plane for the offcal desgned mountng poston of LED on the PCB. The specfc orgn of th LED s denoted as O (, y. The specfc orgns of all LED can refer to ther algnment mars on the PCB. NOTE 1: For testers that ntend to get the absolute coordnate, n general the global coordnate orgn (0,0 s recommended to be the center of the left-most algnment mar. ˆ 4..7 maor as an as maor wth drecton defned by PCB algnment from left to rght or through each algnment mar centers of all LEDs (shown n Fgure Measurement Defntons Mechancal Characterstc Measurement Parameter Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page Doc. 474A SEMI
4 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/ mechancal orgn a center coordnate (-y plane of the emttng surface feature of a LED used as the reference for the mountng poston of a LED on the PCB. The mechancal orgn coordnate for th LED s denoted as O m, ( m,, y m, (shown n Fgure 4 ( s the ordnal number of LED optcal orgn a center-of-gravty coordnate (-y plane of the optcal radaton on the emttng surface of a LED used as the reference for the mountng poston of a LED on the PCB. The optcal orgn coordnate for th LED s denoted as O o, ( o,, y o, (shown n Fgure mechancal orgn devaton an -y plane dstance between each mechancal orgn and the relatve LED specfc orgn. It s used as the reference for mountng as of a LED. The mechancal orgn devaton for th LED s denoted as d m, ( m,i, y m,. PCB zˆm,1 z ˆm, 3 ˆm, y ˆm, ẑ ŷ ˆm,1 ˆm, 3 ˆm, LED #1/#/#3 Mechancal Orgns O m,1,o m,,o m,3 z Algnment Mar ˆmaor O m, ˆm, ˆmaor th LED Fgure 4 Dagram of Maor As of LED Lght Bar (Image of Unlghted LED Lght Bar, Mechancal As, Mechancal Orgns, Algnment Mars Maor as Fgure 5 Dagram of Lumnance Spatal Dstrbuton (Image of Lghted LED Lght Bar, Global Coordnate Orgn (Blac Dot, Optcal Orgns (Red Dot, and Optcal As of th LED NOTE: The Lower Dagram s an Eaggerated Drawng for Demonstratng the Devaton of Optcal Orgn and Optcal As from Specfc Orgn (Blac Cross Mar, and Maor As. Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 3 Doc. 474A SEMI
5 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/ optcal orgn devaton an -y plane dstance between each optcal orgn and the relatve LED specfc orgn. It s used as the reference of the accuracy of LED radaton dstrbuton. The optcal orgn devaton for th LED s denoted as d o, ( o,,y o, optcal - as an as through optcal orgn wth mamum lght spread, drecton followed PCB maor as from left to rght. It s used as the reference of the LED radaton dstrbuton. The optcal -as for th LED s denoted as ˆ (shown n Fgure 5. o, optcal -as devaton the angle between each optcal -as and the maor as of LED lght bar. It s used as the reference for the accuracy of LED radaton dstrbuton. It s denoted as Δ θ ( ˆ o, ˆ, maor or Δ θ o, for th LED mechancal -as an as along the longer LED edge, drecton followng the PCB maor as from left to rght. It s denoted as ˆ for th LED. m, mechancal -as devaton the angle between each mechancal -as and the maor as of LED lght bar. It s denoted as Δ θ ( ˆ m, ˆ, maor or Δθ m, for th LED Optcal Characterstc Measurement Parameter partal lumnous flu the amount of lumnous flu under a certan sold angle of each LED n a forward drecton over the specfc orgn total lumnous flu the total lumnous flu n 4π sold angle of a LED lght bar forward π lumnous flu the amount of lumnous flu n π sold angle of each LED n forwards drecton over the specfc orgn partal/forward π lumnous flu unformty the mnmum and mamum rato of partal/forward π lumnous flu among LEDs of the LED lght bar lumnous ntensty the partal flu dvded by the relatve sold angle, or the llumnance dvde by the square of the measurement dstance (under certan llumnaton area wth certan measurement dstance for each sngle SMD LED of LED lght bar over ts specfc or mechancal orgn poston. The measurement report shall llustrate the measurement condton lumnous ntensty unformty the mnmum and mamum rato of average ntensty among LEDs of the LED lght bar (measurement report shall llustrate the measurement condton color the chromatcty coordnate of sngle LED or LED lght bar under the measurement condton of partal, total, or π lumnance flu, or average ntensty. The measurement report shall llustrate the measurement condton color non-unformty the mamum color dfference, (.e., the mamum Eucldean dstanceδu v orδy n CIE 1976 (u,v or CIE 1931 (,y color space respectvely between any two LEDs of the lght bar. The measurement report shall llustrate the measurement condton. 5 Set-up 5.1 All tests and measurements shall be carred out n rooms wth llumnance under 10 lu. All tests and measurements shall be carred out n ambent temperature (5 ± 3 C, relatve humdty (60 ± 0 RH. 5. LEDs shall be drven from constant current swtchng regulators. The varaton of drvng current should be wthn ±0.5% for durng of measurement perod. As an alternatve, testers should mae sure that the drvng current varaton does not cause more measurement uncertanty than what s requred. 5.3 Warm-up Tme Warm-up tme s the perod from power-on to reach lght ntensty or ts color to stablty (or some other optcal parameters wth whch testers may be concerned Specfy the typcal warm-up curve (e.g., relatve ntensty and chromatcty vs. lght-on perod shown n Fgure 6 for each type LED lght bar Specfy the warm-up tme for each type of optcal characterstcs measurement Specfy the varaton of ntensty or color (or some optcal parameters wth whch testers may be concerned for durng of measurement perod. (In the case of Fgure 6, the warm-up tme s set to be 180 seconds (3 mnutes Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 4 Doc. 474A SEMI
6 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/010 for the ntensty/ntensty unformty measurement, wth ntensty varaton less than 0.3% durng the measurement perod of mnutes. Fgure 6 The Typcal Warm-up Curve of Relatve Average Intensty vs. Lght-on Tme of SMD LED for LED Lght Bar 5.4 The optcal as of the optcal measurement devce should be perpendcular to the LED lght bar under test. The uncertanty n as algnment s specfed to be ±0.3 as a goal. As an alternatve, testers should mae sure that the algnment error does not cause more measurement uncertanty than what s requred. 5.5 The uncertanty n locatng measurement poston of the optcal measurement devce should relatvely wthn ±3% of the sngle LED dagonal. As an alternatve, testers should mae sure that the locaton error does not cause more measurement uncertanty than what s requred. 6 Measurement Method 6.1 Mechancal Characterstc Measurement Method Mechancal Orgn Measure the feature (n general, rectangular of the emttng surface for each LED n - y plane. Then determne the geometrc center coordnates relatve to the LED feature. The mechancal orgn coordnates O m, ( m,, y m, for th LED are defned as those coordnates Optcal Orgn Measure the lumnance spatal dstrbuton L(,y n -y plane whle the LED lght s on. Then calculate the gravty center coordnates of each LED accordng to the lumnance spatal dstrbuton tself. The optcal orgn coordnates O o, ( o,, y o, for th LED are defned as those coordnates. They are calculated by the Equaton 1, and L (, y s the lumnance spatal dstrbuton of th LED (see Append 1 for Measurement eample. o, L (, y d, L (, y d y o, y L (, y dy. (1 L (, y dy To acheve the measurement, a dgtal mage-type nstrument or a photometer may be used, the lumnance spatal dstrbuton of th LED s denoted as L,.(,y. Then the Equaton 1 appromates to the Equaton : L,, o,, L, yo y, L L,,, ( For =1..m, m s the total samplng number of area of nterested. The area of nterested s the area whch lumnance s greater than some rato of mamum lumnance for each LED. NOTE : For testers that ntend to avod cross tal wth nearby LEDs or ncludng too much bacground nose, n general the rato of mamum lumnance s recommended to be 1/ Mechancal Orgn Devaton Calculate the dstance between each mechancal orgn O m, ( m,, y m, and the relatve LED specfc orgn O (, y. (The specfc orgn O (, y of th LED s offcal data, or the specfc dstance from the center coordnate of the relatve algnment mar. It can be measured by mechancal or optcal type nstruments. The mechancal orgn devatons d m,i (,y of th LED s defned as that dstance. It s calculated by Equaton 3: Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 5 Doc. 474A SEMI
7 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/010 d m, (, y ( m, + ( ym, y =. ( Optcal Orgn Devaton Calculate the dstance between each optcal orgn O o, ( o,, y o, and the relatve LED specfc orgn O (, y. The optcal orgn devatons d o,i (,y of th LED s calculated by Equaton 4. d o, (, y ( o, + ( yo, y =. ( Optcal X-as Measure the lumnance spatal dstrbuton L(,y n -y plane whle the LED lght s on. Fnd the optcal orgn O o, ( o,, y o, of th LED nsde the some rato of mamum lumnance area. Then fnd the longest lne segment passng through the optcal orgn wthn ths area. The optcal as for th LED s along ths lne segment, and ts drecton follows the PCB maor as from left to rght. Ths as s assgned as the optcal -as of th LED. It s denoted by ˆ o, NOTE 3: For testers who ntend to avod cross tal wth nearby LEDs or ncludng too much bacground nose, n general the rato of mamum lumnance s recommended to be 1/10. (see Append 1 for measurement eample Optcal X-as Devaton Calculate the angle between the optcal -as ˆ o, of th LED and the maor as ˆ maor of LED lght bar. Ths angle s the optcal -as devaton Δθ o, of th LED. ( Δθ o, Mechancal X-as Measure the feature (n general, rectangular shape of the emttng surface for each LED on the PCB n the -y plane. Determne the longer edge of ths contour of the th LED. Ths longer edge s assgned as the mechancal -as for th LED. It s denoted by ˆ. m, Mechancal X-as Devaton Calculate the angle between the mechancal -as ˆ m, of th LED and the maor as ˆ maor of LED lght bar. Ths angle s the mechancal -as devaton Δ θ m, of th LED. ( Δθ m, Optcal Characterstc Measurement Method 6..1 Partal Lumnous Flu Measure the total amount lumnous flu under the certan sold angle for each LED. The measurement setup condtons are shown n Fgure 7. An ntegrated sphere s over ts specfc or mechancal orgn (coordnate of each LED. The dstance between the LED front surface and the open port of the ntegrated sphere s d. The dameter of the open port s D. In order to avod the measurement varaton caused by heat, the measurement s conducted by swtchng on ether an ndvdual LED or the smallest sngle drvng unt n the lght bar. If the ndvdual LED cannot be drven, some baffles shall be used to avod stray lght from adacent LEDs. Each partal lumnous flu s determned by a photometer. The photometer can be a cosne-corrected photometer or a spectral radometer. If a cosne-corrected photometer s used, t shall be calbrated by spectral msmatch correcton. The measurement system shall be calbrated wth a partal lumnous flu LED CRM (Certfcate Reference Materal regardless of the nd of photometer used. The partal lumnous flu of th LED denotes asφp,. d Cosne-corrected Photometer Head or Spectral Radometer PCB Front Surface Fgure 7 Setup Condton for Partal Lumnous Flu Measurement 6.. Total Lumnous Flu Measure the total lumnance flu of 4πsold angle of a lght bar. The measurement s conducted by swtchng on a whole LED lght bar. One of the possble measurement setup condtons s shown n D Baffle Integrated Sphere Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 6 Doc. 474A SEMI
8 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/010 Fgure 8. The LED lght bar s located at the center of the ntegrated sphere. It s recommended that the sphere dameter should be twce the length of the LED lght bar at least, and the reflectance of the sphere wall and the baffle should be hgher than 90%. The baffle s placed at a dstance equal to about 1/6 of the sphere dameter (or 1/4, f the LED lght bar s short compared to the sphere dameter away from the detector. It should be bg enough to avod the lght source drectly llumnatng detector whle beng as small as possble. The total lumnous flu s determned by a photometer. The photometer can be a cosne-corrected photometer or a spectral radometer. If a cosne-corrected photometer s used, t shall be calbrated by spectral msmatch correcton. The measurement system shall be calbrated wth a total lumnous flu LED CRM regardless of the nd of setup condton or photometer used. The total lumnous flu of a LED lght bar s denoted byφt. Shadowed Area ẑ Integrated Sphere ˆmaor LED Lght Bar Baffle Cosne-corrected Photometer Head or Spectral Radometer Fgure 8 Setup Condton for Total Lumnous Flu Measurement 6..3 Forward π Lumnous Flu Measure the amount of lumnous flu under the forward π sold angle of each LED. The measurement setup condtons are shown n Fgure 9. An ntegrated sphere s attached to the PCB front surface over ts specfc or mechancal orgn (coordnate of each LED. The dameter of the open port s ust suted to the LED sze. In order to avod the measurement varaton caused by heat, the measurement s conducted by swtchng on ether an ndvdual LED or the smallest sngle drvng unt n the lght bar. Each π lumnous flu s determned by a photometer. The photometer can be a cosne-corrected photometer or a spectral radometer. If a cosne-corrected photometer s used, t shall be calbrated by spectral msmatch correcton. The measurement system shall be calbrated wth a π lumnous flu LED CRM regardless of the nd of photometer used. The forward π lumnous flu of th LED s denoted byφh,. Cosne-corrected Photometer Head or Spectral Radometer Baffle PCB Front Surface Integrated Sphere Fgure 9 Setup Condton for Forward πpartal Lumnous Flu Measurement 6..4 Lumnous Flu Unformty Determne the mamum and mnmum of the partal (or π lumnous flu for all LEDs on the LED lght bar. The lumnous flu unformty U p ( or U h for forward πlumnous flu s defned by Equaton 5 (or Equaton 6. Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 7 Doc. 474A SEMI
9 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/010 Mn( Φ p, U p =, for =1..n, n s the number of LED on LED lght bar, (5 Ma( Φ p, or Mn( Φh, U h =,for =1..n, n s the number of LED on LED lght bar. (6 Ma( Φh, 6..5 Lumnous Intensty Measure the partal lumnous flu for each LED wth a certan sold angle of each LED. The lumnous ntensty s defned as the rato of partal lumnous flu to the relatve sold angle. Or measure the average llumnance wthn a certan llumnaton area wth a certan measurement dstance for each sngle LED over ts specfc or mechancal orgn poston. The lumnous ntensty also can be defned as the average llumnance dvded by the square of the measurement dstance. The lumnous ntensty of th LED denotes as I v, (measurement report shall llustrate the measurement condton. In order to avod the measurement varaton caused by heat, the measurement s conducted by swtchng on ether an ndvdual LED or the smallest sngle drvng unt n the lght bar. If the ndvdual LED cannot be drven, some baffles shall be used to avod stray lght from adacent LEDs Lumnous Intensty Unformty Determne the mamum and mnmum of the lumnous ntensty for all LEDs on the LED lght bar. The lumnous ntensty unformty U v s defned by Equaton 7. Mn( Iv, U v =,for =1..n, n s the number of LED on LED lght bar. (7 Ma( Iv, 6..7 Color Measure the chromatcty coordnate for each LED. In order to avod the measurement varaton caused by heat, the measurement s conducted by swtchng on ether an ndvdual LED or the smallest sngle drvng unt n the lght bar. The measurement setup condton s the same as partal lumnous flu, π lumnous flu, or lumnous ntensty condtons. If the ndvdual LED cannot be drven, some baffles shall be used to avod stray lght from adacent LEDs. Or measure the chromatcty coordnate for the whole LED lght bar under the measurement setup condton of total flu. The chromatcty coordnate s determned by a photometer. The photometer can be a colormeter or a spectral radometer. A colormeter shows the measurement result of chromatcty coordnate n CIE 1931 (,y or CIE 1976 (u,v color space. A spectral radometer shows the result of spectral power dstrbuton whch can be calculated nto the chromatcty coordnates. If a colormeter s used, t shall be calbrated by spectral msmatch correcton. The measurement system shall be calbrated wth a color LED CRM for usng any nd of photometer. (The measurement report shall be noted wth measurement setup condton whch s used Color Non-unformty Determne the mamum of the color dfference between any two LEDs on the lght bar. The color non-unformty s defned by Equaton 8 (or Equaton 9. or ' ' ' ' Δ u' v' = Ma( ( u u + ( v v, (8 Δ y = Ma( ( + ( y y. (9 For and =1..n, n s the number of LED on LED lght bar. (The measurement report shall nclude the measurement setup condtons used. NOTE 4: It s recommended the Δu v beng the prorty. 7 Report 7.1 Report the followng general nformaton: Date, tme of test, 7.1. Identfcaton of operator, LED lght bar nformaton (dentfcaton of model number, seral number, LED type, global coordnate orgn locaton, LED lght bar sze, LED number, LED sze, left-most LED center locaton, left-most algnment mar center locaton, LED ptch, etc., Set-up condton (Identfcaton of ambent temperature, humdty, drvng current, etc.. Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 8 Doc. 474A SEMI
10 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/ Report the followng mechancal characterstc measurement results and the analyss nformaton: 7..1 Mechancal orgns, mechancal orgn devatons (ncludng specfc orgns for each LED, 7.. Mechancal -as angles, mechancal -as devaton (dentfcaton of maor as angle for each LED, 7..3 Rato of mamum lumnance to determne the area of nterested for calculatng optcal orgns and optcal as, 7..4 Optcal orgns, optcal orgn devaton (ncludng specfc orgns for each LED, 7..5 Optcal -as angles, optcal -as devaton (dentfcaton of maor as angle for each LED. 7.3 Report the followng optcal characterstc measurement results and the measurement condtons: Partal lumnous flu Partal lumnous flu, chromatcty coordnates (under partal lumnous flu measurement condton for each LED, Partal lumnous flu unformty, color non-unformty for ths LED lght bar, Specfcaton of measurement condtons, ncludng measurement locaton, lght measurement equpment, worng dstance, dameter of open port of ntegrated sphercal sphere, sold angle, warm-up tme, varaton of partal lumnous flu for durng of measurement perod Forward πlumnous flu Forward π lumnous flu, chromatcty coordnates (under forward π lumnous flu measurement condton for each LED, Forward πlumnous flu unformty, color non-unformty for ths LED lght bar, Specfcaton of measurement condtons, ncludng measurement locaton, lght measurement equpment, warm-up tme, varaton of forward πlumnous flu for durng of measurement perod Lumnous ntensty Lumnous ntensty, chromatcty coordnates (under lumnous ntensty measurement condton for each LED, Lumnous ntensty unformty, color non-unformty for ths LED lght bar, Specfcaton of measurement condtons, ncludng measurement locaton, lght measurement equpment, worng dstance, sold angle, warm-up tme, varaton of lumnous ntensty for durng of measurement perod Total flu Total flu, chromatcty coordnates (under total flu measurement condton for the whole LED lght bar, Specfcaton of measurement condtons, ncludng lght measurement equpment, ntegrated sphere dameter, CRM descrpton, warm-up tme, varaton of total flu for durng of measurement perod. 7.4 Report tables General Informaton s provded n Table1. Table 1 Report Sample of General Informaton General Informaton Date of Test Tme of Test Operator LED Lght Bar Informaton Set-up Condton Model Number Seral Number LED Type Global Coordnate Orgn (0,0 Locaton LED Number (pc (mm y(mm PtchΔ(mm LED Lght Bar Sze --- LED Sze --- LED Specfc Locaton Algnment Mar Locaton Ambent Temperature( Humdty (%RH Drvng Current (ma sde-vew top-vew left-most LED center left-most algnment mar center Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 9 Doc. 474A SEMI
11 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/ Mechancal Characterstc Measurement Report s provded n Table Optcal Characterstcs Measurement Report - Partal Lumnous Flu s provded n Table Optcal Characterstcs Measurement Report - Forward π Lumnous Flu s provded n Table Optcal Characterstcs Measurement Report - Lumnous Intensty s provded n Table Optcal Characterstcs Measurement Report - Total Lumnous Flu s provded n Table 6. Table Report Sample of Mechancal Characterstc Measurement Data Mechancal Characterstc Measurement Report Mechancal Orgn Devaton d, y = ( + ( y y Unt : mm Unlghted LED m, ( m, m, LED # Mechancal Orgn Specfc Orgn Mechancal Orgn Devaton m, y m, y d m, 1 O m,1 ( m1,y m1 O 1 ( 1,y 1 d m,1 O m, ( m,y m O (,y d m, 3 Mechancal X-as Devaton Δθ = θ, Unt: degree Unlghted LED LED # 1 θ ˆ ( ˆm, ˆ m, maor Mechancal X-as Angle Maor As Angle Mechancal X-as Devaton θ ˆ θ ˆ Δ ( m, 1 θ ˆ 3 ( m, ( maor Δ θ m,1 Δ θ m, Δ ( m, 0 θ ( ˆ m, 3 θ m, 3 Optcal Orgn Devaton Area of nterested-rato do, (, y = ( o, + ( yo, y Unt : mm Lghted LED of ma lumnance LED # Optcal Orgn Specfc Orgn Optcal Orgn Devaton o, y o, y d o, 1 O o,1 ( o1,y o1 O 1 ( 1,y 1 d o,1 O o, ( o,y o O (,y d o, 3 Optcal X-as Devaton Area of nterested-rato Δθ o, = θ ( ˆ o,, ˆ maor Unt: degree Lght LED of ma lumnance Optcal X-as Angle Maor As Angle Optcal X-as Devaton LED # θ ˆ θ ˆ 1 θ ˆ ( o, 1 θ ( ˆ o, 3 ( o, ( maor 0 Δ θ o,1 Δ θ o, θ m, Δθ o, Table 3 Report Sample of Optcal Characterstc Data under Partal Lumnous Flu Measurement Condtons Partal Lumnous Flu Unformty U Optcal Characterstc Measurement Report-Partal Lumnous Flu Mn( Φ p, = Ma( Φ p p, Color Non-unformty ' ' ' ' Δ u' v' = Ma( ( u u + ( v v Δ y = Ma ( ( + ( y Partal Lumnous Flu Color (Chromatcty Coordnate LED # Measurement Condton Unt : lm Φ p, u v y 1 Φ p, 1 (u 1,v 1 /( 1,y 1 specfc orgn Measurement Locaton Φ p, (u,v /(,y mechancal orgn 3 Lght Measurement Equpment 4 d Dameter D Worng Sold 5 of Open Dstance mm mm Angle 6 Port : D 7 Warm-up Measured sec Varaton % 8 Tme Perod y sr sec Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 10 Doc. 474A SEMI
12 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/010 9 Partal Lumnous Flu Unformty U p Color Nonunformty Table 4 Report Sample of Optcal Characterstc Data under Forward π Lumnous Flu Measurement Condtons Forward π Lumnous Flu Unformty Optcal Characterstc Measurement Report-Forward π Lumnous Flu Mn( Φ h, U h = Ma( Φ h, Color Non-unformty ' ' ' ' Δ u' v' = Ma( ( u u + ( v v Δ y = Ma ( ( + ( y Forward π Color (Chromatcty Coordnate LED # Lumnous Flu Measurement Condton Unt : lm Φ h, u v y 1 Φ h, 1 (u 1,v 1 /( 1,y 1 specfc orgn Measurement Locaton Φ h, (u,v /(,y mechancal orgn 3 Lght Measurement Equpment 4 Warm-up Measured sec Varaton % 5 Tme Perod 6 Forward π Color Non- Lumnous Flu unformty Unformty U h y sec Table 5 Report Sample of Optcal Characterstc Data under Lumnous Intensty Measurement Condtons Optcal Characterstc Measurement Report-Lumnous Intensty Color Non-unformty ' ' ' ' Lumnous Intensty Unformty Mn( I v, Δ u' v' = Ma( ( u u + ( v v U v = Ma( I Δ y = Ma ( ( + ( y y v, Lumnous Intensty Color (Chromatcty Coordnate LED # Measurement Condton Unt : cd I v, u v y 1 I v, 1 (u 1,v 1 /( 1,y 1 specfc orgn Measurement Locaton I v, (u,v /(,y mechancal orgn 3 Lght Measurement Equpment 4 Worng Sold mm sr 5 Dstance Angle 6 Warm-up Measured sec Varaton % 7 Tme Perod 8 Lumnous Color Non- Intensty unformty Unformty U v sec Table 6 Report Sample of Optcal Characterstc Data under Total Flu Measurement Condtons Optcal Characterstc Measurement Report-Total Flu Total Flu Total Flu Color (Chromatcty Coordnate Measurement Condton Unt: lm Φ t u t v t t y t Lght Measurement Equpment CRM descrpton Integrated Sphere Dameter Warm-up Tme sec Varaton % Measured Perod m sec NOTE 5: The measurement parameters showed n the reports wll depend on the actual demand. Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 11 Doc. 474A SEMI
13 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/010 APPENDIX 1 OPTICAL ORIGIN AND OPTICAL X-AXIS MEASUREMENT EXAMPLE A1-1 Set-up A1-1.1 Set the optcal as of an mage type photometer to le along a perpendcular as to the LED lght bar whch s beng tested. A1-1. Set the locaton of the mage type photometer over the specfc orgn poston of the LED whch s beng tested. A1-1.3 Set the constant current swtchng regulators to drve the LED lght bar. Set the drvng current of each LED to be 0 ma. A1-1.4 Set the warm-up tme to be 180 seconds (3 mnutes for the lumnance spatal dstrbuton measurement, wth ntensty varaton less than 0.1% durng the measurement perod of 1 mnute. A1- Measurement Procedure A1-.1 Optcal Orgn Measurement Procedure A Measure the lumnance spatal dstrbuton L(,y n -y plane whle the LED lght s on. (, y coordnate s the pel number n -as and y-as of the mage type photometer, and shown as Fgure A1-1. Fgure A1-1 Dagram of Lumnance Spatal Dstrbuton of LED Lght Bar (Partal Image A1-.1. Fnd the pel coordnates and the value of the mamum lumnance for each LED n the L(, y map. (n ths case L (,y = L (318,489 = counts, the center LED mage shown as followng fgures A Crcle the area n whch the pel value s greater than 1/10 of the mamum lumnance for each LED. In ths case the threshold value s counts, shown as Fgure A1-. Fgure A1- Dagram of the Mamum Lumnance Poston, the Contour of the Area to Calculate the Gravty Center, and the Optcal Orgn (Gravty Center of th LED A Calculate the gravty center coordnates of each LED wthn the area n whch the pel value s greater than 1/10 of the mamum lumnance. Ths coordnate s assgned as the optcal orgn coordnate O o, ( o,, y o, for th LED. They are calculated by the Equaton A1-1, and L (,y s the lumnance spatal dstrbuton of th LED. Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 1 Doc. 474A SEMI
14 Semconductor Equpment and Materals Internatonal 3081 Zaner Road San Jose, CA Document Number: 474A Date: 7/30/010 L,,, y, L, (A1-1 o, yo, L, L, For =1..m, m s the total samplng number of area of nterested. The area of nterested s the area whch lumnance s greater than 1/10 of mamum lumnance for th LED. In ths case, the O o, ( o,, y o, = (35.1, (the coordnate transfer to real dmensonal scale n mm, (0,0 s the 1 st algnment mar center. A1-. Optcal X-as Measurement Procedure A1-..1 Measure the lumnance spatal dstrbuton L (,y (as Fgure A1-3, and calculate the optcal orgn. O o, ( o,, y o, for th LED (the same as A1-.1, optcal orgn measurement procedure above. The red square represents the poston of mamum lumnance, and the green square represents the poston of optcal orgn n the Fgure A1-3. A1-.. Contour the area wth greater than 1/10 of mamum lumnance, and the red contour lne represents t n the Fgure A1-3. A1-..3 Then fnd the longest lne segment (.e., most pel numbers passng through the optcal orgn wthn ths area, and set the drecton followng the PCB maor as. The purple lne s the th optcal -as n the Fgure A1-3. Fgure A1-3 Dagram of the Mamum Lumnance Poston (Red Square, the Optcal Orgn(Green Square, the Contour (Red Lne of the Area to Determne the Optcal X-as, and the Optcal X-as (Purple Lne of th LED NOTICE: SEMI maes no warrantes or representatons as to the sutablty of the standard(s set forth heren for any partcular applcaton. The determnaton of the sutablty of the standard(s s solely the responsblty of the user. Users are cautoned to refer to manufacturer s nstructons, product labels, product data sheets, and other relevant lterature respectng any materals or equpment mentoned heren. These standards are subect to change wthout notce. By publcaton of ths standard, Semconductor Equpment and Materals Internatonal (SEMI taes no poston respectng the valdty of any patent rghts or copyrghts asserted n connecton wth any tem mentoned n ths standard. Users of ths standard are epressly advsed that determnaton of any such patent rghts or copyrghts, and the rs of nfrngement of such rghts are entrely ther own responsblty. Ths s a draft document of the SEMI Internatonal Standards program. No materal on ths page s to be construed as an offcal or adopted standard. Permsson s granted to reproduce and/or dstrbute ths document, n whole or n part, only wthn the scope of SEMI Internatonal Standards commttee (document development actvty. All other reproducton and/or dstrbuton wthout the pror wrtten consent of SEMI s prohbted. Page 13 Doc. 474A SEMI
Uncertainty in measurements of power and energy on power networks
Uncertanty n measurements of power and energy on power networks E. Manov, N. Kolev Department of Measurement and Instrumentaton, Techncal Unversty Sofa, bul. Klment Ohrdsk No8, bl., 000 Sofa, Bulgara Tel./fax:
More informationExperiment 1 Mass, volume and density
Experment 1 Mass, volume and densty Purpose 1. Famlarze wth basc measurement tools such as verner calper, mcrometer, and laboratory balance. 2. Learn how to use the concepts of sgnfcant fgures, expermental
More informationGravitational Acceleration: A case of constant acceleration (approx. 2 hr.) (6/7/11)
Gravtatonal Acceleraton: A case of constant acceleraton (approx. hr.) (6/7/11) Introducton The gravtatonal force s one of the fundamental forces of nature. Under the nfluence of ths force all objects havng
More informationStructure and Drive Paul A. Jensen Copyright July 20, 2003
Structure and Drve Paul A. Jensen Copyrght July 20, 2003 A system s made up of several operatons wth flow passng between them. The structure of the system descrbes the flow paths from nputs to outputs.
More informationx = , so that calculated
Stat 4, secton Sngle Factor ANOVA notes by Tm Plachowsk n chapter 8 we conducted hypothess tests n whch we compared a sngle sample s mean or proporton to some hypotheszed value Chapter 9 expanded ths to
More informationkq r 2 2kQ 2kQ (A) (B) (C) (D)
PHYS 1202W MULTIPL CHOIC QUSTIONS QUIZ #1 Answer the followng multple choce questons on the bubble sheet. Choose the best answer, 5 pts each. MC1 An uncharged metal sphere wll (A) be repelled by a charged
More informationChapter 3 Describing Data Using Numerical Measures
Chapter 3 Student Lecture Notes 3-1 Chapter 3 Descrbng Data Usng Numercal Measures Fall 2006 Fundamentals of Busness Statstcs 1 Chapter Goals To establsh the usefulness of summary measures of data. The
More informationχ x B E (c) Figure 2.1.1: (a) a material particle in a body, (b) a place in space, (c) a configuration of the body
Secton.. Moton.. The Materal Body and Moton hyscal materals n the real world are modeled usng an abstract mathematcal entty called a body. Ths body conssts of an nfnte number of materal partcles. Shown
More informationThermal-Fluids I. Chapter 18 Transient heat conduction. Dr. Primal Fernando Ph: (850)
hermal-fluds I Chapter 18 ransent heat conducton Dr. Prmal Fernando prmal@eng.fsu.edu Ph: (850) 410-6323 1 ransent heat conducton In general, he temperature of a body vares wth tme as well as poston. In
More informationA LINEAR PROGRAM TO COMPARE MULTIPLE GROSS CREDIT LOSS FORECASTS. Dr. Derald E. Wentzien, Wesley College, (302) ,
A LINEAR PROGRAM TO COMPARE MULTIPLE GROSS CREDIT LOSS FORECASTS Dr. Derald E. Wentzen, Wesley College, (302) 736-2574, wentzde@wesley.edu ABSTRACT A lnear programmng model s developed and used to compare
More informationWeek3, Chapter 4. Position and Displacement. Motion in Two Dimensions. Instantaneous Velocity. Average Velocity
Week3, Chapter 4 Moton n Two Dmensons Lecture Quz A partcle confned to moton along the x axs moves wth constant acceleraton from x =.0 m to x = 8.0 m durng a 1-s tme nterval. The velocty of the partcle
More informationWeek 9 Chapter 10 Section 1-5
Week 9 Chapter 10 Secton 1-5 Rotaton Rgd Object A rgd object s one that s nondeformable The relatve locatons of all partcles makng up the object reman constant All real objects are deformable to some extent,
More informationColor Rendering Uncertainty
Australan Journal of Basc and Appled Scences 4(10): 4601-4608 010 ISSN 1991-8178 Color Renderng Uncertanty 1 A.el Bally M.M. El-Ganany 3 A. Al-amel 1 Physcs Department Photometry department- NIS Abstract:
More informationModule 3 LOSSY IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur
Module 3 LOSSY IMAGE COMPRESSION SYSTEMS Verson ECE IIT, Kharagpur Lesson 6 Theory of Quantzaton Verson ECE IIT, Kharagpur Instructonal Objectves At the end of ths lesson, the students should be able to:
More informationSCALARS AND VECTORS All physical quantities in engineering mechanics are measured using either scalars or vectors.
SCALARS AND ECTORS All phscal uanttes n engneerng mechancs are measured usng ether scalars or vectors. Scalar. A scalar s an postve or negatve phscal uantt that can be completel specfed b ts magntude.
More informationWINTER 2017 EXAMINATION
(ISO/IEC - 700-00 Certfed) WINTER 07 EXAMINATION Model wer ject Code: Important Instructons to Eamners: ) The answers should be eamned by key words and not as word-to-word as gven n the model answer scheme.
More informationSection 8.1 Exercises
Secton 8.1 Non-rght Trangles: Law of Snes and Cosnes 519 Secton 8.1 Exercses Solve for the unknown sdes and angles of the trangles shown. 10 70 50 1.. 18 40 110 45 5 6 3. 10 4. 75 15 5 6 90 70 65 5. 6.
More informationWinter 2008 CS567 Stochastic Linear/Integer Programming Guest Lecturer: Xu, Huan
Wnter 2008 CS567 Stochastc Lnear/Integer Programmng Guest Lecturer: Xu, Huan Class 2: More Modelng Examples 1 Capacty Expanson Capacty expanson models optmal choces of the tmng and levels of nvestments
More informationTemperature. Chapter Heat Engine
Chapter 3 Temperature In prevous chapters of these notes we ntroduced the Prncple of Maxmum ntropy as a technque for estmatng probablty dstrbutons consstent wth constrants. In Chapter 9 we dscussed the
More informationLecture 12: Discrete Laplacian
Lecture 12: Dscrete Laplacan Scrbe: Tanye Lu Our goal s to come up wth a dscrete verson of Laplacan operator for trangulated surfaces, so that we can use t n practce to solve related problems We are mostly
More informationCorrelation and Regression. Correlation 9.1. Correlation. Chapter 9
Chapter 9 Correlaton and Regresson 9. Correlaton Correlaton A correlaton s a relatonshp between two varables. The data can be represented b the ordered pars (, ) where s the ndependent (or eplanator) varable,
More informationN- and P-Channel 20-V (D-S) MOSFET
S45DY N- and P-Channel -V (D-S) MOSFET PRODUCT SUMMARY V DS (V) R DS(on) (Ω) (A).45 at V GS = V 9.6 N-Channel.7 at V GS = 4.5 V.6 FEATURES Halogen-free Accordng to IEC 649-- Defnton TrenchFET Power MOSFET
More informationKernel Methods and SVMs Extension
Kernel Methods and SVMs Extenson The purpose of ths document s to revew materal covered n Machne Learnng 1 Supervsed Learnng regardng support vector machnes (SVMs). Ths document also provdes a general
More informationA Mechanics-Based Approach for Determining Deflections of Stacked Multi-Storey Wood-Based Shear Walls
A Mechancs-Based Approach for Determnng Deflectons of Stacked Mult-Storey Wood-Based Shear Walls FPINNOVATIONS Acknowledgements Ths publcaton was developed by FPInnovatons and the Canadan Wood Councl based
More informationTurbulence classification of load data by the frequency and severity of wind gusts. Oscar Moñux, DEWI GmbH Kevin Bleibler, DEWI GmbH
Turbulence classfcaton of load data by the frequency and severty of wnd gusts Introducton Oscar Moñux, DEWI GmbH Kevn Blebler, DEWI GmbH Durng the wnd turbne developng process, one of the most mportant
More informationCathy Walker March 5, 2010
Cathy Walker March 5, 010 Part : Problem Set 1. What s the level of measurement for the followng varables? a) SAT scores b) Number of tests or quzzes n statstcal course c) Acres of land devoted to corn
More informationChapter 13: Multiple Regression
Chapter 13: Multple Regresson 13.1 Developng the multple-regresson Model The general model can be descrbed as: It smplfes for two ndependent varables: The sample ft parameter b 0, b 1, and b are used to
More informationTHE CURRENT BALANCE Physics 258/259
DSH 1988, 005 THE CURRENT BALANCE Physcs 58/59 The tme average force between two parallel conductors carryng an alternatng current s measured by balancng ths force aganst the gravtatonal force on a set
More informationReport on Image warping
Report on Image warpng Xuan Ne, Dec. 20, 2004 Ths document summarzed the algorthms of our mage warpng soluton for further study, and there s a detaled descrpton about the mplementaton of these algorthms.
More informationLinear Regression Analysis: Terminology and Notation
ECON 35* -- Secton : Basc Concepts of Regresson Analyss (Page ) Lnear Regresson Analyss: Termnology and Notaton Consder the generc verson of the smple (two-varable) lnear regresson model. It s represented
More informationLab 2e Thermal System Response and Effective Heat Transfer Coefficient
58:080 Expermental Engneerng 1 OBJECTIVE Lab 2e Thermal System Response and Effectve Heat Transfer Coeffcent Warnng: though the experment has educatonal objectves (to learn about bolng heat transfer, etc.),
More informationFREQUENCY DISTRIBUTIONS Page 1 of The idea of a frequency distribution for sets of observations will be introduced,
FREQUENCY DISTRIBUTIONS Page 1 of 6 I. Introducton 1. The dea of a frequency dstrbuton for sets of observatons wll be ntroduced, together wth some of the mechancs for constructng dstrbutons of data. Then
More informationThis column is a continuation of our previous column
Comparson of Goodness of Ft Statstcs for Lnear Regresson, Part II The authors contnue ther dscusson of the correlaton coeffcent n developng a calbraton for quanttatve analyss. Jerome Workman Jr. and Howard
More informationSpatial Statistics and Analysis Methods (for GEOG 104 class).
Spatal Statstcs and Analyss Methods (for GEOG 104 class). Provded by Dr. An L, San Dego State Unversty. 1 Ponts Types of spatal data Pont pattern analyss (PPA; such as nearest neghbor dstance, quadrat
More informationDefinition. Measures of Dispersion. Measures of Dispersion. Definition. The Range. Measures of Dispersion 3/24/2014
Measures of Dsperson Defenton Range Interquartle Range Varance and Standard Devaton Defnton Measures of dsperson are descrptve statstcs that descrbe how smlar a set of scores are to each other The more
More informationSo far: simple (planar) geometries
Physcs 06 ecture 5 Torque and Angular Momentum as Vectors SJ 7thEd.: Chap. to 3 Rotatonal quanttes as vectors Cross product Torque epressed as a vector Angular momentum defned Angular momentum as a vector
More informationAn Algorithm to Solve the Inverse Kinematics Problem of a Robotic Manipulator Based on Rotation Vectors
An Algorthm to Solve the Inverse Knematcs Problem of a Robotc Manpulator Based on Rotaton Vectors Mohamad Z. Al-az*, Mazn Z. Othman**, and Baker B. Al-Bahr* *AL-Nahran Unversty, Computer Eng. Dep., Baghdad,
More informationEcon107 Applied Econometrics Topic 3: Classical Model (Studenmund, Chapter 4)
I. Classcal Assumptons Econ7 Appled Econometrcs Topc 3: Classcal Model (Studenmund, Chapter 4) We have defned OLS and studed some algebrac propertes of OLS. In ths topc we wll study statstcal propertes
More informationAnalysis of the Magnetomotive Force of a Three-Phase Winding with Concentrated Coils and Different Symmetry Features
Analyss of the Magnetomotve Force of a Three-Phase Wndng wth Concentrated Cols and Dfferent Symmetry Features Deter Gerlng Unversty of Federal Defense Munch, Neubberg, 85579, Germany Emal: Deter.Gerlng@unbw.de
More informationDUE: WEDS FEB 21ST 2018
HOMEWORK # 1: FINITE DIFFERENCES IN ONE DIMENSION DUE: WEDS FEB 21ST 2018 1. Theory Beam bendng s a classcal engneerng analyss. The tradtonal soluton technque makes smplfyng assumptons such as a constant
More informationBIPM comparison BIPM.RI(II)-K1.Eu-155 of the activity measurements of the radionuclide 155 Eu. G. Ratel and C. Michotte BIPM
BIPM comparson BIPM.RI(II)-K1.Eu-155 of the actvty measurements of the radonuclde 155 Eu G. Ratel and C. Mchotte BIPM Abstract In 1993, a natonal metrology nsttute, the NPL (UK), submtted a sample of known
More informationComparative Studies of Law of Conservation of Energy. and Law Clusters of Conservation of Generalized Energy
Comparatve Studes of Law of Conservaton of Energy and Law Clusters of Conservaton of Generalzed Energy No.3 of Comparatve Physcs Seres Papers Fu Yuhua (CNOOC Research Insttute, E-mal:fuyh1945@sna.com)
More informationELASTIC WAVE PROPAGATION IN A CONTINUOUS MEDIUM
ELASTIC WAVE PROPAGATION IN A CONTINUOUS MEDIUM An elastc wave s a deformaton of the body that travels throughout the body n all drectons. We can examne the deformaton over a perod of tme by fxng our look
More informationRELIABILITY ASSESSMENT
CHAPTER Rsk Analyss n Engneerng and Economcs RELIABILITY ASSESSMENT A. J. Clark School of Engneerng Department of Cvl and Envronmental Engneerng 4a CHAPMAN HALL/CRC Rsk Analyss for Engneerng Department
More informationChapter 5 Multilevel Models
Chapter 5 Multlevel Models 5.1 Cross-sectonal multlevel models 5.1.1 Two-level models 5.1.2 Multple level models 5.1.3 Multple level modelng n other felds 5.2 Longtudnal multlevel models 5.2.1 Two-level
More informationLINEAR REGRESSION ANALYSIS. MODULE IX Lecture Multicollinearity
LINEAR REGRESSION ANALYSIS MODULE IX Lecture - 30 Multcollnearty Dr. Shalabh Department of Mathematcs and Statstcs Indan Insttute of Technology Kanpur 2 Remedes for multcollnearty Varous technques have
More informationCHAPTER 5 NUMERICAL EVALUATION OF DYNAMIC RESPONSE
CHAPTER 5 NUMERICAL EVALUATION OF DYNAMIC RESPONSE Analytcal soluton s usually not possble when exctaton vares arbtrarly wth tme or f the system s nonlnear. Such problems can be solved by numercal tmesteppng
More informationImportant Instructions to the Examiners:
Summer 0 Examnaton Subject & Code: asc Maths (70) Model Answer Page No: / Important Instructons to the Examners: ) The Answers should be examned by key words and not as word-to-word as gven n the model
More informationUncertainty as the Overlap of Alternate Conditional Distributions
Uncertanty as the Overlap of Alternate Condtonal Dstrbutons Olena Babak and Clayton V. Deutsch Centre for Computatonal Geostatstcs Department of Cvl & Envronmental Engneerng Unversty of Alberta An mportant
More informationORIGIN 1. PTC_CE_BSD_3.2_us_mp.mcdx. Mathcad Enabled Content 2011 Knovel Corp.
Clck to Vew Mathcad Document 2011 Knovel Corp. Buldng Structural Desgn. homas P. Magner, P.E. 2011 Parametrc echnology Corp. Chapter 3: Renforced Concrete Slabs and Beams 3.2 Renforced Concrete Beams -
More informationReprint (R34) Accurate Transmission Measurements Of Translucent Materials. January 2008
Reprnt (R34) Accurate ransmsson Measurements Of ranslucent Materals January 2008 Gooch & Housego 4632 36 th Street, Orlando, FL 32811 el: 1 407 422 3171 Fax: 1 407 648 5412 Emal: sales@goochandhousego.com
More informationChapter 8. Potential Energy and Conservation of Energy
Chapter 8 Potental Energy and Conservaton of Energy In ths chapter we wll ntroduce the followng concepts: Potental Energy Conservatve and non-conservatve forces Mechancal Energy Conservaton of Mechancal
More informationChapter 14 Simple Linear Regression
Chapter 4 Smple Lnear Regresson Chapter 4 - Smple Lnear Regresson Manageral decsons often are based on the relatonshp between two or more varables. Regresson analss can be used to develop an equaton showng
More informationERROR RESEARCH ON A HEPA FILTER MEDIA TESTING SYSTEM OF MPPS(MOST PENETRATION PARTICLE SIZE) EFFICIENCY
Proceedngs: Indoor Ar 2005 ERROR RESEARCH ON A HEPA FILTER MEDIA TESTING SYSTEM OF MPPS(MOST PENETRATION PARTICLE SIZE) EFFICIENCY S Lu, J Lu *, N Zhu School of Envronmental Scence and Technology, Tanjn
More informationDifference Equations
Dfference Equatons c Jan Vrbk 1 Bascs Suppose a sequence of numbers, say a 0,a 1,a,a 3,... s defned by a certan general relatonshp between, say, three consecutve values of the sequence, e.g. a + +3a +1
More informationSecond Order Analysis
Second Order Analyss In the prevous classes we looked at a method that determnes the load correspondng to a state of bfurcaton equlbrum of a perfect frame by egenvalye analyss The system was assumed to
More informationRegulation No. 117 (Tyres rolling noise and wet grip adhesion) Proposal for amendments to ECE/TRANS/WP.29/GRB/2010/3
Transmtted by the expert from France Informal Document No. GRB-51-14 (67 th GRB, 15 17 February 2010, agenda tem 7) Regulaton No. 117 (Tyres rollng nose and wet grp adheson) Proposal for amendments to
More informationComparison of Regression Lines
STATGRAPHICS Rev. 9/13/2013 Comparson of Regresson Lnes Summary... 1 Data Input... 3 Analyss Summary... 4 Plot of Ftted Model... 6 Condtonal Sums of Squares... 6 Analyss Optons... 7 Forecasts... 8 Confdence
More informationOn the Throughput of Clustered Photolithography Tools:
On the hroughput of lustered Photolthography ools: Wafer Advancement and Intrnsc Equpment Loss Maruth Kumar Mutnur James R. Morrson, Ph.D. September 23, 2007 Presentaton Outlne Motvaton Model : Synchronous
More informationLecture 3: Probability Distributions
Lecture 3: Probablty Dstrbutons Random Varables Let us begn by defnng a sample space as a set of outcomes from an experment. We denote ths by S. A random varable s a functon whch maps outcomes nto the
More informationComparison of the Population Variance Estimators. of 2-Parameter Exponential Distribution Based on. Multiple Criteria Decision Making Method
Appled Mathematcal Scences, Vol. 7, 0, no. 47, 07-0 HIARI Ltd, www.m-hkar.com Comparson of the Populaton Varance Estmators of -Parameter Exponental Dstrbuton Based on Multple Crtera Decson Makng Method
More informationPhysics 5153 Classical Mechanics. Principle of Virtual Work-1
P. Guterrez 1 Introducton Physcs 5153 Classcal Mechancs Prncple of Vrtual Work The frst varatonal prncple we encounter n mechancs s the prncple of vrtual work. It establshes the equlbrum condton of a mechancal
More information5th International Conference on Measurement, Instrumentation and Automation (ICMIA 2016) Star image identification uninfluenced by rotation
5th Internatonal Conference on Measurement, Instrumentaton and Automaton (ICMIA 2016) Star mage dentfcaton unnfluenced by rotaton Jang D1,a, Zhang Ke1, Lv Mebo1 1 Nortwestern Polytechncal Unversty, X an,
More informationChapter 9: Statistical Inference and the Relationship between Two Variables
Chapter 9: Statstcal Inference and the Relatonshp between Two Varables Key Words The Regresson Model The Sample Regresson Equaton The Pearson Correlaton Coeffcent Learnng Outcomes After studyng ths chapter,
More informationAP Physics 1 & 2 Summer Assignment
AP Physcs 1 & 2 Summer Assgnment AP Physcs 1 requres an exceptonal profcency n algebra, trgonometry, and geometry. It was desgned by a select group of college professors and hgh school scence teachers
More informationResearch Article Green s Theorem for Sign Data
Internatonal Scholarly Research Network ISRN Appled Mathematcs Volume 2012, Artcle ID 539359, 10 pages do:10.5402/2012/539359 Research Artcle Green s Theorem for Sgn Data Lous M. Houston The Unversty of
More informationBOOTSTRAP METHOD FOR TESTING OF EQUALITY OF SEVERAL MEANS. M. Krishna Reddy, B. Naveen Kumar and Y. Ramu
BOOTSTRAP METHOD FOR TESTING OF EQUALITY OF SEVERAL MEANS M. Krshna Reddy, B. Naveen Kumar and Y. Ramu Department of Statstcs, Osmana Unversty, Hyderabad -500 007, Inda. nanbyrozu@gmal.com, ramu0@gmal.com
More informationREAL-TIME DETERMINATION OF INDOOR CONTAMINANT SOURCE LOCATION AND STRENGTH, PART II: WITH TWO SENSORS. Beijing , China,
REAL-TIME DETERMIATIO OF IDOOR COTAMIAT SOURCE LOCATIO AD STREGTH, PART II: WITH TWO SESORS Hao Ca,, Xantng L, Wedng Long 3 Department of Buldng Scence, School of Archtecture, Tsnghua Unversty Bejng 84,
More informationI have not received unauthorized aid in the completion of this exam.
ME 270 Sprng 2013 Fnal Examnaton Please read and respond to the followng statement, I have not receved unauthorzed ad n the completon of ths exam. Agree Dsagree Sgnature INSTRUCTIONS Begn each problem
More informationSection 8.3 Polar Form of Complex Numbers
80 Chapter 8 Secton 8 Polar Form of Complex Numbers From prevous classes, you may have encountered magnary numbers the square roots of negatve numbers and, more generally, complex numbers whch are the
More informationModule 1 : The equation of continuity. Lecture 1: Equation of Continuity
1 Module 1 : The equaton of contnuty Lecture 1: Equaton of Contnuty 2 Advanced Heat and Mass Transfer: Modules 1. THE EQUATION OF CONTINUITY : Lectures 1-6 () () () (v) (v) Overall Mass Balance Momentum
More informationMeasurement Uncertainties Reference
Measurement Uncertantes Reference Introducton We all ntutvely now that no epermental measurement can be perfect. It s possble to mae ths dea quanttatve. It can be stated ths way: the result of an ndvdual
More informationTopic- 11 The Analysis of Variance
Topc- 11 The Analyss of Varance Expermental Desgn The samplng plan or expermental desgn determnes the way that a sample s selected. In an observatonal study, the expermenter observes data that already
More informationTutorial 2. COMP4134 Biometrics Authentication. February 9, Jun Xu, Teaching Asistant
Tutoral 2 COMP434 ometrcs uthentcaton Jun Xu, Teachng sstant csjunxu@comp.polyu.edu.hk February 9, 207 Table of Contents Problems Problem : nswer the questons Problem 2: Power law functon Problem 3: Convoluton
More information5.15 MICRO GAMMA SCANNING ON THE HIGH BURNUP PWR FUEL SAMPLES
5.15 MICRO GAMMA SCANNING ON THE HIGH BURNUP PWR FUEL SAMPLES Hyoung-Mun Kwon, Hang-Seog Seo, Hyung-Kwon Lee, Duck-Kee Mn, Yong-Bum Chun Post Irradaton Examnaton Faclty, Korea Atomc Energy Research Insttute
More informationPhysics 5153 Classical Mechanics. D Alembert s Principle and The Lagrangian-1
P. Guterrez Physcs 5153 Classcal Mechancs D Alembert s Prncple and The Lagrangan 1 Introducton The prncple of vrtual work provdes a method of solvng problems of statc equlbrum wthout havng to consder the
More informationOnline Appendix to: Axiomatization and measurement of Quasi-hyperbolic Discounting
Onlne Appendx to: Axomatzaton and measurement of Quas-hyperbolc Dscountng José Lus Montel Olea Tomasz Strzaleck 1 Sample Selecton As dscussed before our ntal sample conssts of two groups of subjects. Group
More informationDepartment of Statistics University of Toronto STA305H1S / 1004 HS Design and Analysis of Experiments Term Test - Winter Solution
Department of Statstcs Unversty of Toronto STA35HS / HS Desgn and Analyss of Experments Term Test - Wnter - Soluton February, Last Name: Frst Name: Student Number: Instructons: Tme: hours. Ads: a non-programmable
More informationPhysics 111: Mechanics Lecture 11
Physcs 111: Mechancs Lecture 11 Bn Chen NJIT Physcs Department Textbook Chapter 10: Dynamcs of Rotatonal Moton q 10.1 Torque q 10. Torque and Angular Acceleraton for a Rgd Body q 10.3 Rgd-Body Rotaton
More informationUsing the estimated penetrances to determine the range of the underlying genetic model in casecontrol
Georgetown Unversty From the SelectedWorks of Mark J Meyer 8 Usng the estmated penetrances to determne the range of the underlyng genetc model n casecontrol desgn Mark J Meyer Neal Jeffres Gang Zheng Avalable
More informationDr. Ing. J. H. (Jo) Walling Consultant Cables Standards Machinery
The common mode crcut resstance unbalance (CMCU) calculaton based on mn. / max. conductor resstance values and par to par resstance unbalance measurements ncludng loop resstance evsed and extended verson
More informationMath1110 (Spring 2009) Prelim 3 - Solutions
Math 1110 (Sprng 2009) Solutons to Prelm 3 (04/21/2009) 1 Queston 1. (16 ponts) Short answer. Math1110 (Sprng 2009) Prelm 3 - Solutons x a 1 (a) (4 ponts) Please evaluate lm, where a and b are postve numbers.
More informationSimulated Power of the Discrete Cramér-von Mises Goodness-of-Fit Tests
Smulated of the Cramér-von Mses Goodness-of-Ft Tests Steele, M., Chaselng, J. and 3 Hurst, C. School of Mathematcal and Physcal Scences, James Cook Unversty, Australan School of Envronmental Studes, Grffth
More informationPhysics 181. Particle Systems
Physcs 181 Partcle Systems Overvew In these notes we dscuss the varables approprate to the descrpton of systems of partcles, ther defntons, ther relatons, and ther conservatons laws. We consder a system
More informationAPPENDIX 2 FITTING A STRAIGHT LINE TO OBSERVATIONS
Unversty of Oulu Student Laboratory n Physcs Laboratory Exercses n Physcs 1 1 APPEDIX FITTIG A STRAIGHT LIE TO OBSERVATIOS In the physcal measurements we often make a seres of measurements of the dependent
More informationAnswers Problem Set 2 Chem 314A Williamsen Spring 2000
Answers Problem Set Chem 314A Wllamsen Sprng 000 1) Gve me the followng crtcal values from the statstcal tables. a) z-statstc,-sded test, 99.7% confdence lmt ±3 b) t-statstc (Case I), 1-sded test, 95%
More information2016 Wiley. Study Session 2: Ethical and Professional Standards Application
6 Wley Study Sesson : Ethcal and Professonal Standards Applcaton LESSON : CORRECTION ANALYSIS Readng 9: Correlaton and Regresson LOS 9a: Calculate and nterpret a sample covarance and a sample correlaton
More informationStatistics for Economics & Business
Statstcs for Economcs & Busness Smple Lnear Regresson Learnng Objectves In ths chapter, you learn: How to use regresson analyss to predct the value of a dependent varable based on an ndependent varable
More informationDepartment of Electrical & Electronic Engineeing Imperial College London. E4.20 Digital IC Design. Median Filter Project Specification
Desgn Project Specfcaton Medan Flter Department of Electrcal & Electronc Engneeng Imperal College London E4.20 Dgtal IC Desgn Medan Flter Project Specfcaton A medan flter s used to remove nose from a sampled
More informationTHE ROYAL STATISTICAL SOCIETY 2006 EXAMINATIONS SOLUTIONS HIGHER CERTIFICATE
THE ROYAL STATISTICAL SOCIETY 6 EXAMINATIONS SOLUTIONS HIGHER CERTIFICATE PAPER I STATISTICAL THEORY The Socety provdes these solutons to assst canddates preparng for the eamnatons n future years and for
More informationEEL 6266 Power System Operation and Control. Chapter 3 Economic Dispatch Using Dynamic Programming
EEL 6266 Power System Operaton and Control Chapter 3 Economc Dspatch Usng Dynamc Programmng Pecewse Lnear Cost Functons Common practce many utltes prefer to represent ther generator cost functons as sngle-
More informationONE DIMENSIONAL TRIANGULAR FIN EXPERIMENT. Technical Advisor: Dr. D.C. Look, Jr. Version: 11/03/00
ONE IMENSIONAL TRIANGULAR FIN EXPERIMENT Techncal Advsor: r..c. Look, Jr. Verson: /3/ 7. GENERAL OJECTIVES a) To understand a one-dmensonal epermental appromaton. b) To understand the art of epermental
More informationFormal solvers of the RT equation
Formal solvers of the RT equaton Formal RT solvers Runge- Kutta (reference solver) Pskunov N.: 979, Master Thess Long characterstcs (Feautrer scheme) Cannon C.J.: 970, ApJ 6, 55 Short characterstcs (Hermtan
More informationTHERMAL DISTRIBUTION IN THE HCL SPECTRUM OBJECTIVE
ame: THERMAL DISTRIBUTIO I THE HCL SPECTRUM OBJECTIVE To nvestgate a system s thermal dstrbuton n dscrete states; specfcally, determne HCl gas temperature from the relatve occupatons of ts rotatonal states.
More information1. Inference on Regression Parameters a. Finding Mean, s.d and covariance amongst estimates. 2. Confidence Intervals and Working Hotelling Bands
Content. Inference on Regresson Parameters a. Fndng Mean, s.d and covarance amongst estmates.. Confdence Intervals and Workng Hotellng Bands 3. Cochran s Theorem 4. General Lnear Testng 5. Measures of
More informationTitle: Radiative transitions and spectral broadening
Lecture 6 Ttle: Radatve transtons and spectral broadenng Objectves The spectral lnes emtted by atomc vapors at moderate temperature and pressure show the wavelength spread around the central frequency.
More informationFlux-Uncertainty from Aperture Photometry. F. Masci, version 1.0, 10/14/2008
Flux-Uncertanty from Aperture Photometry F. Masc, verson 1.0, 10/14/008 1. Summary We derve a eneral formula for the nose varance n the flux of a source estmated from aperture photometry. The 1-σ uncertanty
More informationWeek 11: Chapter 11. The Vector Product. The Vector Product Defined. The Vector Product and Torque. More About the Vector Product
The Vector Product Week 11: Chapter 11 Angular Momentum There are nstances where the product of two vectors s another vector Earler we saw where the product of two vectors was a scalar Ths was called the
More informationSAMPLE ANALYSIS REQUEST FORM
SAMPLE ANALYSIS REQUEST FORM Please complete ths Sample Analyss Request Form (one request per sample) and send t to CILAS wth the Samples and the Safety Datasheet Please complete page 2 and 3 for another
More informationIntroduction to circuit analysis. Classification of Materials
Introducton to crcut analyss OUTLINE Electrcal quanttes Charge Current Voltage Power The deal basc crcut element Sgn conventons Current versus voltage (I-V) graph Readng: 1.2, 1.3,1.6 Lecture 2, Slde 1
More information