Phase Rotation for the 80 MHz ac Mixed Mode Packet

Size: px
Start display at page:

Download "Phase Rotation for the 80 MHz ac Mixed Mode Packet"

Transcription

1 Phas Rotation for th 80 MHz ac Mixd Mod Packt Dat: Authors: Nam Affiliations Addrss Phon mail Lonardo Lanant Jr. Kyushu Inst. of Tchnology Kawazu 680-, Iizuka, JAPAN Yuhi Nagao Kyushu Inst. of Kawazu 680-, Tchnology Iizuka, JAPAN Tht Htun Khin Radrix Corp. Kawazu 680-, Iizuka, JAPAN Tohru Oyama Kyushu Inst. of Kawazu 680-, Tchnology Iizuka, JAPAN Masayuki Kyushu Inst. of Kawazu 680-, Kurosaki Tchnology Iizuka, JAPAN Hiroshi Ochi Radrix Corp. Kawazu 680-, Iizuka, JAPAN p tht@radrix.com kurosaki@cs.kyutch.ac.p Slid 1

2 Abstract In n, a phas rotation of 90 dgrs was applid to th uppr 20MHz band of th 0MHz packt in ordr to rduc th PAPR [1]. In [2], w proposd phas rotations for vry 20MHz band in th 80MHz packt that achivs th sam ffct. W will show thortical proofs, additional simulations, and mak a straw poll for our proposal Slid 2

3 Optimal Phas Shifts (1/5) S 80 θ1 S20 θ2 S20 θ3 S20 θ S MHz s80 (n) = S80(k) 2πkn 6 S20can b (L-STF, L-LTF, L-SIG, VHT-SIG) subcarrir symbol vctor for th 20MHz packt θi = phas shift for th i th 20MHz band 7 2πn(k-2) 7 2πn(k-8) 7 2πn(k+ 8) 7 2πn(k+ 2) θ1 6 θ2 6 θ3 6 θ 6 80(n) = S20(k) + S20(k) + S20(k) + S20(k) s 7 2π 3πn πn πn 3 6 θ1 θ2 θ3 θ (n) = S20(k) kn πn 80 s Slid 3

4 Optimal Phas Shifts (2/5) 7 2πkn 3πn πn πn 3π 6 θ1 θ2 θ3 θ (n) = S20(k) s 80 rarranging 3πn πn πn 3πn 7 2πkn θ1 θ2 θ3 θ 6 80(n) = S20(k) -8 s n β (n) Ovrsampld IDFT of S20 It is clar that duplication of th 20MHz subcarrir bits to 80MHz band is qual to a x ovrsampld of th 20MHz signal modulatd by β (n) Slid

5 Optimal Phas Shifts (3/5) s 80 (n) (n) To minimiz th PAPR of, it is ncssary to nsur unity magnitud of β β 3πn πn πn θ1 θ2 θ3 θ (n) = πn β (n) = 3πn 3 k = 0 θ k 2πkn IDFT of θ k rpating priodically Constant amplitud To minimiz th PAPR of θ k β (n), w nd to choos whos IDFT has low PAPR can b chosn from any CAZAC (Constant Amplitud Zro Autocorrlation) squnc (.g. Frank Zadoff Chu) to nsur unity magnitud of β (n) Slid 5 θ k

6 Optimal Phas Shifts (/5) To maintain compatibility with 0MHz lgacy dvics, ϕ1 ϕ1 ϕ2 ϕ ( 1) ( ) ( 1) ( ) ] θk 2 = [ whr ϕ i ar any phas shifts θ (.g. k = [1 1 ] ) Unfortunatly, thr ar no CAZAC squncs of this form. Th closst and asist to implmnt squnc w found is E = {[1 1 ] } Including its cyclic shifts and scald vrsions Slid 6

7 Optimal Phas Shifts (5/5) 1.5 θ k = [1 1 θ k Tim Domain Signal ] 1.5 θ k = [1 1 θ k Tim Domain Signal ] 1 1 Magnitud 0.5 PAPR=0dB tim Magnitud 0.5 PAPR=3dB tim No PAPR incras from S20 Expct incras of 3dB from S20 Slid 7

8 Simulations Rsults PAPR (1/3) 20MHz Sampling Rat TX output (magnitud) Filds L-STF L-LTF L-SIG VHT-SIG PACKET PAPR 2.09dB 3.17dB 5.28dB 6.28dB 9.58dB Tim (µs) 20MHz 11n Mixd Mod packt Basis PAPR Slid 8

9 Simulations Rsults PAPR (2/3) 80MHz Sampling Rat TX output (magnitud) Filds L-STF L-LTF L-SIG VHT-SIG PACKET PAPR 2.28dB 3.20dB 7.98dB 8.12dB 9.3dB Tim (µs) θ k = [1 1 ] 80MHz Singl usr 11ac Mixd Mod Packt Slid 9 Excpt for th ffct of ovrsampling for L-STF and L-LTF, chang of subcarrir bits in SIG filds, th PAPR is unchangd

10 Simulations Rsults PAPR (3/3) 80MHz Sampling Rat TX output (magnitud) Filds L-STF L-LTF L-SIG VHT-SIG PACKET PAPR 5.1dB 6.21dB 11dB 10.87dB 11dB ~+3dB ~+3dB ~+3dB ~+3dB ~+2dB Tim (µs) PAPR incras du to θk θ k = [1 1 ] 80MHz Singl usr 11ac Mixd Mod Packt Slid 10

11 Simulations Rsults Backward Compatibility (1/2) S S S -S S S S -S 80MHz 0MHz 0MHz 80 MHz dvic 0 MHz dvic 0 MHz dvic 11n dvics at th UPPER 0 MHz channl xpcts [1 ] subcarrir rotation and has a possibl compatibility issu whn Cross Corrlation is usd for fram synchronization Slid 11

12 Simulations Rsults Backward Compatibility (2/2) SIG Fild Symbol Error Rat TGn Channl D itrations Impairmnts: CFO, Phas nois, PA nonlinarity, 0MHz lgacy dvics at both sids of th 80MHz channl that uss only Fram Synchronization has similar prformanc Slid 12

13 Conclusions In ordr to minimiz th PAPR of th 80MHz packt, phas rotation for vry 20MHz band is ncssary. CAZAC squncs ar optimal squnc for th phas rotation [1 1-] is th closst CAZAC squnc to xtndd 11n phas rotation of [1 1 ] [1 1 ] has no visibl backward compatibility issu compard with [1 1 ] Similar to n, w propos that this phas rotation b applid to all th symbols in th ac Mixd Mod Packt Slid 13

14 Rfrncs [1] Wirlss LAN Mdium Accss Control (MAC) and Physical Layr (PHY) Spcification. Amndmnt 5: Enhancmnts for Highr Throughput, IEEE Std n, [2] doc.: IEEE /087r1. IEEE802.11ac Prambl with Lgacy a/n Backward Compatibility Slid 1

Multipacket Reception Enabled Aggregation for Very High-Speed WLANs

Multipacket Reception Enabled Aggregation for Very High-Speed WLANs Multipackt Rcption Enabld Aggrgation for Vry High-Spd WLANs Tianji Li, David Malon, Douglas Lith Hamilton Institut, National Univ. of Irland at Maynooth, Irland Email: {tianji.li, david.malon, doug.lith}@nuim.i

More information

Random Access Techniques: ALOHA (cont.)

Random Access Techniques: ALOHA (cont.) Random Accss Tchniqus: ALOHA (cont.) 1 Exampl [ Aloha avoiding collision ] A pur ALOHA ntwork transmits a 200-bit fram on a shard channl Of 200 kbps at tim. What is th rquirmnt to mak this fram collision

More information

Learning Spherical Convolution for Fast Features from 360 Imagery

Learning Spherical Convolution for Fast Features from 360 Imagery Larning Sphrical Convolution for Fast Faturs from 36 Imagry Anonymous Author(s) 3 4 5 6 7 8 9 3 4 5 6 7 8 9 3 4 5 6 7 8 9 3 3 3 33 34 35 In this fil w provid additional dtails to supplmnt th main papr

More information

EEO 401 Digital Signal Processing Prof. Mark Fowler

EEO 401 Digital Signal Processing Prof. Mark Fowler EEO 401 Digital Signal Procssing Prof. Mark Fowlr Dtails of th ot St #19 Rading Assignmnt: Sct. 7.1.2, 7.1.3, & 7.2 of Proakis & Manolakis Dfinition of th So Givn signal data points x[n] for n = 0,, -1

More information

Procdings of IC-IDC0 ( and (, ( ( and (, and (f ( and (, rspctivly. If two input signals ar compltly qual, phas spctra of two signals ar qual. That is

Procdings of IC-IDC0 ( and (, ( ( and (, and (f ( and (, rspctivly. If two input signals ar compltly qual, phas spctra of two signals ar qual. That is Procdings of IC-IDC0 EFFECTS OF STOCHASTIC PHASE SPECTRUM DIFFERECES O PHASE-OLY CORRELATIO FUCTIOS PART I: STATISTICALLY COSTAT PHASE SPECTRUM DIFFERECES FOR FREQUECY IDICES Shunsu Yamai, Jun Odagiri,

More information

Outline. Why speech processing? Speech signal processing. Advanced Multimedia Signal Processing #5:Speech Signal Processing 2 -Processing-

Outline. Why speech processing? Speech signal processing. Advanced Multimedia Signal Processing #5:Speech Signal Processing 2 -Processing- Outlin Advancd Multimdia Signal Procssing #5:Spch Signal Procssing -Procssing- Intllignt Elctronic Systms Group Dpt. of Elctronic Enginring, UEC Basis of Spch Procssing Nois Rmoval Spctral Subtraction

More information

Sliding Mode Flow Rate Observer Design

Sliding Mode Flow Rate Observer Design Sliding Mod Flow Rat Obsrvr Dsign Song Liu and Bin Yao School of Mchanical Enginring, Purdu Univrsity, Wst Lafaytt, IN797, USA liu(byao)@purdudu Abstract Dynamic flow rat information is ndd in a lot of

More information

Gaussian and Flat Rayleigh Fading Channel Influences on PAPR Distribution in MIMO-OFDM Systems

Gaussian and Flat Rayleigh Fading Channel Influences on PAPR Distribution in MIMO-OFDM Systems Gaussian and Flat Rayligh Fading Channl Influncs on PAPR Distribution in MIMO-OFDM Systms Basl Rihawi and Yvs Louët IETR/Supélc - Campus d Rnns Avnu d la Boulai, BP 87, 355 Csson-Sévigné, Franc Tlphon:

More information

Numbering Systems Basic Building Blocks Scaling and Round-off Noise. Number Representation. Floating vs. Fixed point. DSP Design.

Numbering Systems Basic Building Blocks Scaling and Round-off Noise. Number Representation. Floating vs. Fixed point. DSP Design. Numbring Systms Basic Building Blocks Scaling and Round-off Nois Numbr Rprsntation Viktor Öwall viktor.owall@it.lth.s Floating vs. Fixd point In floating point a valu is rprsntd by mantissa dtrmining th

More information

A Propagating Wave Packet Group Velocity Dispersion

A Propagating Wave Packet Group Velocity Dispersion Lctur 8 Phys 375 A Propagating Wav Packt Group Vlocity Disprsion Ovrviw and Motivation: In th last lctur w lookd at a localizd solution t) to th 1D fr-particl Schrödingr quation (SE) that corrsponds to

More information

Computing and Communications -- Network Coding

Computing and Communications -- Network Coding 89 90 98 00 Computing and Communications -- Ntwork Coding Dr. Zhiyong Chn Institut of Wirlss Communications Tchnology Shanghai Jiao Tong Univrsity China Lctur 5- Nov. 05 0 Classical Information Thory Sourc

More information

INTERNATIONAL JOURNAL OF COMPUTERS AND COMMUNICATIONS Issue 1, Volume 7, Theoretical Analysis of BER Performance of Optical ZCZ-CDMA System

INTERNATIONAL JOURNAL OF COMPUTERS AND COMMUNICATIONS Issue 1, Volume 7, Theoretical Analysis of BER Performance of Optical ZCZ-CDMA System ITERATIOAL JOURAL OF COMPUTERS AD COMMUICATIOS Issu, Volum 7, 3 Thortical Analysis of BER Prformanc of Optical ZCZ-CDMA Systm Takahiro MATSUMOTO, Hidyuki TORII and Shinya MATSUFUJI Abstract In this papr,

More information

SER/BER in a Fading Channel

SER/BER in a Fading Channel SER/BER in a Fading Channl Major points for a fading channl: * SNR is a R.V. or R.P. * SER(BER) dpnds on th SNR conditional SER(BER). * Two prformanc masurs: outag probability and avrag SER(BER). * Ovrall,

More information

International Journal of Scientific & Engineering Research, Volume 6, Issue 7, July ISSN

International Journal of Scientific & Engineering Research, Volume 6, Issue 7, July ISSN Intrnational Journal of Scintific & Enginring Rsarch, Volum 6, Issu 7, July-25 64 ISSN 2229-558 HARATERISTIS OF EDGE UTSET MATRIX OF PETERSON GRAPH WITH ALGEBRAI GRAPH THEORY Dr. G. Nirmala M. Murugan

More information

SECTION where P (cos θ, sin θ) and Q(cos θ, sin θ) are polynomials in cos θ and sin θ, provided Q is never equal to zero.

SECTION where P (cos θ, sin θ) and Q(cos θ, sin θ) are polynomials in cos θ and sin θ, provided Q is never equal to zero. SETION 6. 57 6. Evaluation of Dfinit Intgrals Exampl 6.6 W hav usd dfinit intgrals to valuat contour intgrals. It may com as a surpris to larn that contour intgrals and rsidus can b usd to valuat crtain

More information

2. Laser physics - basics

2. Laser physics - basics . Lasr physics - basics Spontanous and stimulatd procsss Einstin A and B cofficints Rat quation analysis Gain saturation What is a lasr? LASER: Light Amplification by Stimulatd Emission of Radiation "light"

More information

Volterra Kernel Estimation for Nonlinear Communication Channels Using Deterministic Sequences

Volterra Kernel Estimation for Nonlinear Communication Channels Using Deterministic Sequences 1 Voltrra Krnl Estimation for Nonlinar Communication Channls Using Dtrministic Squncs Endr M. Ekşioğlu and Ahmt H. Kayran Dpartmnt of Elctrical and Elctronics Enginring, Istanbul Tchnical Univrsity, Istanbul,

More information

Hardy-Littlewood Conjecture and Exceptional real Zero. JinHua Fei. ChangLing Company of Electronic Technology Baoji Shannxi P.R.

Hardy-Littlewood Conjecture and Exceptional real Zero. JinHua Fei. ChangLing Company of Electronic Technology Baoji Shannxi P.R. Hardy-Littlwood Conjctur and Excptional ral Zro JinHua Fi ChangLing Company of Elctronic Tchnology Baoji Shannxi P.R.China E-mail: fijinhuayoujian@msn.com Abstract. In this papr, w assum that Hardy-Littlwood

More information

MEASURING HEAT FLUX FROM A COMPONENT ON A PCB

MEASURING HEAT FLUX FROM A COMPONENT ON A PCB MEASURING HEAT FLUX FROM A COMPONENT ON A PCB INTRODUCTION Elctronic circuit boards consist of componnts which gnrats substantial amounts of hat during thir opration. A clar knowldg of th lvl of hat dissipation

More information

2008 AP Calculus BC Multiple Choice Exam

2008 AP Calculus BC Multiple Choice Exam 008 AP Multipl Choic Eam Nam 008 AP Calculus BC Multipl Choic Eam Sction No Calculator Activ AP Calculus 008 BC Multipl Choic. At tim t 0, a particl moving in th -plan is th acclration vctor of th particl

More information

Random Process Part 1

Random Process Part 1 Random Procss Part A random procss t (, ζ is a signal or wavform in tim. t : tim ζ : outcom in th sampl spac Each tim w rapat th xprimnt, a nw wavform is gnratd. ( W will adopt t for short. Tim sampls

More information

Communication Technologies

Communication Technologies Communication Tchnologis. Principls of Digital Transmission. Structur of Data Transmission.2 Spctrum of a Data Signal 2. Digital Modulation 2. Linar Modulation Mthods 2.2 Nonlinar Modulations (CPM-Signals)

More information

Introduction to Arithmetic Geometry Fall 2013 Lecture #20 11/14/2013

Introduction to Arithmetic Geometry Fall 2013 Lecture #20 11/14/2013 18.782 Introduction to Arithmtic Gomtry Fall 2013 Lctur #20 11/14/2013 20.1 Dgr thorm for morphisms of curvs Lt us rstat th thorm givn at th nd of th last lctur, which w will now prov. Thorm 20.1. Lt φ:

More information

Prelim Examination 2011 / 2012 (Assessing Units 1 & 2) MATHEMATICS. Advanced Higher Grade. Time allowed - 2 hours

Prelim Examination 2011 / 2012 (Assessing Units 1 & 2) MATHEMATICS. Advanced Higher Grade. Time allowed - 2 hours Prlim Eamination / (Assssing Units & ) MATHEMATICS Advancd Highr Grad Tim allowd - hours Rad Carfull. Calculators ma b usd in this papr.. Candidats should answr all qustions. Full crdit will onl b givn

More information

MA 262, Spring 2018, Final exam Version 01 (Green)

MA 262, Spring 2018, Final exam Version 01 (Green) MA 262, Spring 218, Final xam Vrsion 1 (Grn) INSTRUCTIONS 1. Switch off your phon upon ntring th xam room. 2. Do not opn th xam booklt until you ar instructd to do so. 3. Bfor you opn th booklt, fill in

More information

NARAYANA I I T / P M T A C A D E M Y. C o m m o n P r a c t i c e T e s t 1 6 XII STD BATCHES [CF] Date: PHYSIS HEMISTRY MTHEMTIS

NARAYANA I I T / P M T A C A D E M Y. C o m m o n P r a c t i c e T e s t 1 6 XII STD BATCHES [CF] Date: PHYSIS HEMISTRY MTHEMTIS . (D). (A). (D). (D) 5. (B) 6. (A) 7. (A) 8. (A) 9. (B). (A). (D). (B). (B). (C) 5. (D) NARAYANA I I T / P M T A C A D E M Y C o m m o n P r a c t i c T s t 6 XII STD BATCHES [CF] Dat: 8.8.6 ANSWER PHYSIS

More information

THE IMPACT OF A PRIORI INFORMATION ON THE MAP EQUALIZER PERFORMANCE WITH M-PSK MODULATION

THE IMPACT OF A PRIORI INFORMATION ON THE MAP EQUALIZER PERFORMANCE WITH M-PSK MODULATION 5th Europan Signal Procssing Confrnc (EUSIPCO 007), Poznan, Poland, Sptmbr 3-7, 007, copyright by EURASIP THE IMPACT OF A PRIORI INFORMATION ON THE MAP EQUALIZER PERFORMANCE WITH M-PSK MODULATION Chaabouni

More information

PHASE-ONLY CORRELATION IN FINGERPRINT DATABASE REGISTRATION AND MATCHING

PHASE-ONLY CORRELATION IN FINGERPRINT DATABASE REGISTRATION AND MATCHING Anall Univrsităţii d Vst din Timişoara Vol. LII, 2008 Sria Fizică PHASE-OLY CORRELATIO I FIGERPRIT DATABASE REGISTRATIO AD ATCHIG Alin C. Tusda, 2 Gianina Gabor Univrsity of Orada, Environmntal Faculty,

More information

Chapter 6 Folding. Folding

Chapter 6 Folding. Folding Chaptr 6 Folding Wintr 1 Mokhtar Abolaz Folding Th folding transformation is usd to systmatically dtrmin th control circuits in DSP architctur whr multipl algorithm oprations ar tim-multiplxd to a singl

More information

Unit 6: Solving Exponential Equations and More

Unit 6: Solving Exponential Equations and More Habrman MTH 111 Sction II: Eonntial and Logarithmic Functions Unit 6: Solving Eonntial Equations and Mor EXAMPLE: Solv th quation 10 100 for. Obtain an act solution. This quation is so asy to solv that

More information

Finite Element Model of a Ferroelectric

Finite Element Model of a Ferroelectric Excrpt from th Procdings of th COMSOL Confrnc 200 Paris Finit Elmnt Modl of a Frrolctric A. Lópz, A. D Andrés and P. Ramos * GRIFO. Dpartamnto d Elctrónica, Univrsidad d Alcalá. Alcalá d Hnars. Madrid,

More information

BINOMIAL COEFFICIENTS INVOLVING INFINITE POWERS OF PRIMES. 1. Statement of results

BINOMIAL COEFFICIENTS INVOLVING INFINITE POWERS OF PRIMES. 1. Statement of results BINOMIAL COEFFICIENTS INVOLVING INFINITE POWERS OF PRIMES DONALD M. DAVIS Abstract. If p is a prim and n a positiv intgr, lt ν p (n dnot th xponnt of p in n, and u p (n n/p νp(n th unit part of n. If α

More information

Slide 1. Slide 2. Slide 3 DIGITAL SIGNAL PROCESSING CLASSIFICATION OF SIGNALS

Slide 1. Slide 2. Slide 3 DIGITAL SIGNAL PROCESSING CLASSIFICATION OF SIGNALS Slid DIGITAL SIGAL PROCESSIG UIT I DISCRETE TIME SIGALS AD SYSTEM Slid Rviw of discrt-tim signals & systms Signal:- A signal is dfind as any physical quantity that varis with tim, spac or any othr indpndnt

More information

Section 11.6: Directional Derivatives and the Gradient Vector

Section 11.6: Directional Derivatives and the Gradient Vector Sction.6: Dirctional Drivativs and th Gradint Vctor Practic HW rom Stwart Ttbook not to hand in p. 778 # -4 p. 799 # 4-5 7 9 9 35 37 odd Th Dirctional Drivativ Rcall that a b Slop o th tangnt lin to th

More information

ECE602 Exam 1 April 5, You must show ALL of your work for full credit.

ECE602 Exam 1 April 5, You must show ALL of your work for full credit. ECE62 Exam April 5, 27 Nam: Solution Scor: / This xam is closd-book. You must show ALL of your work for full crdit. Plas rad th qustions carfully. Plas chck your answrs carfully. Calculators may NOT b

More information

Downlink and Uplink Channel Asymmetry and Novel Handover Ranging Power Adjustment Scheme in OFDMA/TDD Systems

Downlink and Uplink Channel Asymmetry and Novel Handover Ranging Power Adjustment Scheme in OFDMA/TDD Systems Downlink and Uplink Channl Asymmtry and Novl Handovr Ranging Powr Adjustmnt Schm in OFDMA/TDD Systms Jisu Kim School of Elctrical and Computr Enginring Ajou Univrsity Suwon, Kora Email:soo@ajou.ac.kr Ja-Hyun

More information

A Sub-Optimal Log-Domain Decoding Algorithm for Non-Binary LDPC Codes

A Sub-Optimal Log-Domain Decoding Algorithm for Non-Binary LDPC Codes Procdings of th 9th WSEAS Intrnational Confrnc on APPLICATIONS of COMPUTER ENGINEERING A Sub-Optimal Log-Domain Dcoding Algorithm for Non-Binary LDPC Cods CHIRAG DADLANI and RANJAN BOSE Dpartmnt of Elctrical

More information

Koch Fractal Boundary Single feed Circularly Polarized Microstrip Antenna

Koch Fractal Boundary Single feed Circularly Polarized Microstrip Antenna 1 Journal of Microwavs, Optolctronics and Elctromagntic Applications, Vol. 6, No. 2, Dcmbr 2007 406 Koch Fractal Boundary Singl fd Circularly Polarizd Microstrip Antnna P. Nagswara Rao and N. V. S.N Sarma

More information

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches.

22/ Breakdown of the Born-Oppenheimer approximation. Selection rules for rotational-vibrational transitions. P, R branches. Subjct Chmistry Papr No and Titl Modul No and Titl Modul Tag 8/ Physical Spctroscopy / Brakdown of th Born-Oppnhimr approximation. Slction ruls for rotational-vibrational transitions. P, R branchs. CHE_P8_M

More information

Robust surface-consistent residual statics and phase correction part 2

Robust surface-consistent residual statics and phase correction part 2 Robust surfac-consistnt rsidual statics and phas corrction part 2 Ptr Cary*, Nirupama Nagarajappa Arcis Sismic Solutions, A TGS Company, Calgary, Albrta, Canada. Summary In land AVO procssing, nar-surfac

More information

EAcos θ, where θ is the angle between the electric field and

EAcos θ, where θ is the angle between the electric field and 8.4. Modl: Th lctric flux flows out of a closd surfac around a rgion of spac containing a nt positiv charg and into a closd surfac surrounding a nt ngativ charg. Visualiz: Plas rfr to Figur EX8.4. Lt A

More information

Limiting value of higher Mahler measure

Limiting value of higher Mahler measure Limiting valu of highr Mahlr masur Arunabha Biswas a, Chris Monico a, a Dpartmnt of Mathmatics & Statistics, Txas Tch Univrsity, Lubbock, TX 7949, USA Abstract W considr th k-highr Mahlr masur m k P )

More information

High-Performance WLAN Architectures Using MIMO Technology in Line-of-Sight

High-Performance WLAN Architectures Using MIMO Technology in Line-of-Sight igh-prformanc WLAN Architcturs Using MIMO Tchnology in Lin-of-Sight Ioannis Sarris, Angla Doufxi, and Andrw R. Nix Abstract This papr invstigats th Packt-Error-Rat () and throughput prformanc of WLANs

More information

Carrier frequency estimation. ELEC-E5410 Signal processing for communications

Carrier frequency estimation. ELEC-E5410 Signal processing for communications Carrir frquncy stimation ELEC-E54 Signal procssing for communications Contnts. Basic systm assumptions. Data-aidd DA: Maximum-lilihood ML stimation of carrir frquncy 3. Data-aidd: Practical algorithms

More information

Note If the candidate believes that e x = 0 solves to x = 0 or gives an extra solution of x = 0, then withhold the final accuracy mark.

Note If the candidate believes that e x = 0 solves to x = 0 or gives an extra solution of x = 0, then withhold the final accuracy mark. . (a) Eithr y = or ( 0, ) (b) Whn =, y = ( 0 + ) = 0 = 0 ( + ) = 0 ( )( ) = 0 Eithr = (for possibly abov) or = A 3. Not If th candidat blivs that = 0 solvs to = 0 or givs an tra solution of = 0, thn withhold

More information

Inflation and Unemployment

Inflation and Unemployment C H A P T E R 13 Aggrgat Supply and th Short-run Tradoff Btwn Inflation and Unmploymnt MACROECONOMICS SIXTH EDITION N. GREGORY MANKIW PowrPoint Slids by Ron Cronovich 2008 Worth Publishrs, all rights rsrvd

More information

Ph.D. students Department of Electronics and Telecommunications, Politecnico di Torino

Ph.D. students Department of Electronics and Telecommunications, Politecnico di Torino 01OPIIU Il softwar libro Dvic-to-dvic communications: Wi-Fi Dirct Laura Cocona s189195 Carlo Borgiattino s189149 Ph.D. studnts Dpartmnt of Elctronics and Tlcommunications, Politcnico di Torino Rport for

More information

Chapter 14 Aggregate Supply and the Short-run Tradeoff Between Inflation and Unemployment

Chapter 14 Aggregate Supply and the Short-run Tradeoff Between Inflation and Unemployment Chaptr 14 Aggrgat Supply and th Short-run Tradoff Btwn Inflation and Unmploymnt Modifid by Yun Wang Eco 3203 Intrmdiat Macroconomics Florida Intrnational Univrsity Summr 2017 2016 Worth Publishrs, all

More information

Data Assimilation 1. Alan O Neill National Centre for Earth Observation UK

Data Assimilation 1. Alan O Neill National Centre for Earth Observation UK Data Assimilation 1 Alan O Nill National Cntr for Earth Obsrvation UK Plan Motivation & basic idas Univariat (scalar) data assimilation Multivariat (vctor) data assimilation 3d-Variational Mthod (& optimal

More information

PHA 5128 Answer CASE STUDY 3 Question #1: Model

PHA 5128 Answer CASE STUDY 3 Question #1: Model PHA 5128 Answr CASE STUDY 3 Spring 2008 Qustion #1: Aminoglycosids hav a triphasic disposition, but tobramycin concntration-tim profil hr is dscribd via a 2-compartmnt modl sinc th alpha phas could not

More information

Network Congestion Games

Network Congestion Games Ntwork Congstion Gams Assistant Profssor Tas A&M Univrsity Collg Station, TX TX Dallas Collg Station Austin Houston Bst rout dpnds on othrs Ntwork Congstion Gams Travl tim incrass with congstion Highway

More information

2/12/2013. Overview. 12-Power Transmission Text: Conservation of Complex Power. Introduction. Power Transmission-Short Line

2/12/2013. Overview. 12-Power Transmission Text: Conservation of Complex Power. Introduction. Power Transmission-Short Line //03 Ovrviw -owr Transmission Txt: 4.6-4.0 ECEGR 45 owr ystms Consrvation of Complx owr hort in owr Transmission owr Transmission isualization Radial in Mdium and ong in owr Transmission oltag Collaps

More information

Ferroelectrics 342:73-82, 2006 Computational Modeling of Ferromagnetic Shape Memory Thin Films

Ferroelectrics 342:73-82, 2006 Computational Modeling of Ferromagnetic Shape Memory Thin Films Frrolctrics 4:7-8 6 Computational Modling of Frromagntic Shap Mmory Thin Films J. Liakhova M. Luskin and T. Zhang School of Mathmatics 6 Church St. SE Univrsity of Minnsota Minnapolis MN 55455 USA Email:

More information

Physical Organization

Physical Organization Lctur usbasd symmtric multiprocssors (SM s): combin both aspcts Compilr support? rchitctural support? Static and dynamic locality of rfrnc ar critical for high prformanc M I M ccss to local mmory is usually

More information

Rotor Stationary Control Analysis Based on Coupling KdV Equation Finite Steady Analysis Liu Dalong1,a, Xu Lijuan2,a

Rotor Stationary Control Analysis Based on Coupling KdV Equation Finite Steady Analysis Liu Dalong1,a, Xu Lijuan2,a 204 Intrnational Confrnc on Computr Scinc and Elctronic Tchnology (ICCSET 204) Rotor Stationary Control Analysis Basd on Coupling KdV Equation Finit Stady Analysis Liu Dalong,a, Xu Lijuan2,a Dpartmnt of

More information

Zero Vectors Combinatorial Code Family for Spectral Amplitude Coding (SAC-OCDMA)

Zero Vectors Combinatorial Code Family for Spectral Amplitude Coding (SAC-OCDMA) 0 IJCSNS Intrnational Journal of Computr Scinc and Ntwork Scurity, VOL.8 No.3, March 008 Zro Vctors Combinatorial Cod Family for Spctral Amplitud Coding (SAC-OCDMA) Hassan Yousif Ahmd, Ibrahima Fay, and

More information

An Extensive Study of Approximating the Periodic. Solutions of the Prey Predator System

An Extensive Study of Approximating the Periodic. Solutions of the Prey Predator System pplid athmatical Scincs Vol. 00 no. 5 5 - n xtnsiv Study of pproximating th Priodic Solutions of th Pry Prdator Systm D. Vnu Gopala Rao * ailing addrss: Plot No.59 Sctor-.V.P.Colony Visahapatnam 50 07

More information

Introduction to the quantum theory of matter and Schrödinger s equation

Introduction to the quantum theory of matter and Schrödinger s equation Introduction to th quantum thory of mattr and Schrödingr s quation Th quantum thory of mattr assums that mattr has two naturs: a particl natur and a wa natur. Th particl natur is dscribd by classical physics

More information

The Relativistic Stern-Gerlach Force C. Tschalär 1. Introduction

The Relativistic Stern-Gerlach Force C. Tschalär 1. Introduction Th Rlativistic Strn-Grlach Forc C. Tschalär. Introduction For ovr a dcad, various formulations of th Strn-Grlach (SG) forc acting on a particl with spin moving at a rlativistic vlocity in an lctromagntic

More information

Differentiation of Exponential Functions

Differentiation of Exponential Functions Calculus Modul C Diffrntiation of Eponntial Functions Copyright This publication Th Northrn Albrta Institut of Tchnology 007. All Rights Rsrvd. LAST REVISED March, 009 Introduction to Diffrntiation of

More information

Problem Set #2 Due: Friday April 20, 2018 at 5 PM.

Problem Set #2 Due: Friday April 20, 2018 at 5 PM. 1 EE102B Spring 2018 Signal Procssing and Linar Systms II Goldsmith Problm St #2 Du: Friday April 20, 2018 at 5 PM. 1. Non-idal sampling and rcovry of idal sampls by discrt-tim filtring 30 pts) Considr

More information

Einstein Equations for Tetrad Fields

Einstein Equations for Tetrad Fields Apiron, Vol 13, No, Octobr 006 6 Einstin Equations for Ttrad Filds Ali Rıza ŞAHİN, R T L Istanbul (Turky) Evry mtric tnsor can b xprssd by th innr product of ttrad filds W prov that Einstin quations for

More information

Quasi-Classical States of the Simple Harmonic Oscillator

Quasi-Classical States of the Simple Harmonic Oscillator Quasi-Classical Stats of th Simpl Harmonic Oscillator (Draft Vrsion) Introduction: Why Look for Eignstats of th Annihilation Oprator? Excpt for th ground stat, th corrspondnc btwn th quantum nrgy ignstats

More information

Southern Taiwan University

Southern Taiwan University Chaptr Ordinar Diffrntial Equations of th First Ordr and First Dgr Gnral form:., d +, d 0.a. f,.b I. Sparabl Diffrntial quations Form: d + d 0 C d d E 9 + 4 0 Solution: 9d + 4d 0 9 + 4 C E + d Solution:

More information

Where k is either given or determined from the data and c is an arbitrary constant.

Where k is either given or determined from the data and c is an arbitrary constant. Exponntial growth and dcay applications W wish to solv an quation that has a drivativ. dy ky k > dx This quation says that th rat of chang of th function is proportional to th function. Th solution is

More information

BROADBAND and wireless networks are currently the

BROADBAND and wireless networks are currently the 64 JOURNAL OF COMMUNICATION AND INFORMATION SYSTEMS, VOL. 20, NO. 3, 2005 A Nw Hybrid ARQ-FEC Schm for Wirlss ATM Ntworks J. M. C. Brito and I. S. Bonatti Abstract - Wird ATM (Asynchronous Transfr Mod)

More information

Cramér-Rao Inequality: Let f(x; θ) be a probability density function with continuous parameter

Cramér-Rao Inequality: Let f(x; θ) be a probability density function with continuous parameter WHEN THE CRAMÉR-RAO INEQUALITY PROVIDES NO INFORMATION STEVEN J. MILLER Abstract. W invstigat a on-paramtr family of probability dnsitis (rlatd to th Parto distribution, which dscribs many natural phnomna)

More information

Analytical Modelling of conventional DMG-SOI MOSFET using Different Gate Dielectric Material

Analytical Modelling of conventional DMG-SOI MOSFET using Different Gate Dielectric Material Intrnational Journal of Enginring Tchnology, Managmnt and Applid Scincs www.ijtmas.com May 017, olum 5, Issu 5, ISSN 349-4476 Analytical Modlling of convntional DMG-SOI MOSFET using Diffrnt Gat Dilctric

More information

Chapter 13 Aggregate Supply

Chapter 13 Aggregate Supply Chaptr 13 Aggrgat Supply 0 1 Larning Objctivs thr modls of aggrgat supply in which output dpnds positivly on th pric lvl in th short run th short-run tradoff btwn inflation and unmploymnt known as th Phillips

More information

[ ] 1+ lim G( s) 1+ s + s G s s G s Kacc SYSTEM PERFORMANCE. Since. Lecture 10: Steady-state Errors. Steady-state Errors. Then

[ ] 1+ lim G( s) 1+ s + s G s s G s Kacc SYSTEM PERFORMANCE. Since. Lecture 10: Steady-state Errors. Steady-state Errors. Then SYSTEM PERFORMANCE Lctur 0: Stady-tat Error Stady-tat Error Lctur 0: Stady-tat Error Dr.alyana Vluvolu Stady-tat rror can b found by applying th final valu thorm and i givn by lim ( t) lim E ( ) t 0 providd

More information

Linear Non-Gaussian Structural Equation Models

Linear Non-Gaussian Structural Equation Models IMPS 8, Durham, NH Linar Non-Gaussian Structural Equation Modls Shohi Shimizu, Patrik Hoyr and Aapo Hyvarinn Osaka Univrsity, Japan Univrsity of Hlsinki, Finland Abstract Linar Structural Equation Modling

More information

Estimation of apparent fraction defective: A mathematical approach

Estimation of apparent fraction defective: A mathematical approach Availabl onlin at www.plagiarsarchlibrary.com Plagia Rsarch Library Advancs in Applid Scinc Rsarch, 011, (): 84-89 ISSN: 0976-8610 CODEN (USA): AASRFC Estimation of apparnt fraction dfctiv: A mathmatical

More information

Content Skills Assessments Lessons. Identify, classify, and apply properties of negative and positive angles.

Content Skills Assessments Lessons. Identify, classify, and apply properties of negative and positive angles. Tachr: CORE TRIGONOMETRY Yar: 2012-13 Cours: TRIGONOMETRY Month: All Months S p t m b r Angls Essntial Qustions Can I idntify draw ngativ positiv angls in stard position? Do I hav a working knowldg of

More information

Lecture Outline. Skin Depth Power Flow 8/7/2018. EE 4347 Applied Electromagnetics. Topic 3e

Lecture Outline. Skin Depth Power Flow 8/7/2018. EE 4347 Applied Electromagnetics. Topic 3e 8/7/018 Cours Instructor Dr. Raymond C. Rumpf Offic: A 337 Phon: (915) 747 6958 E Mail: rcrumpf@utp.du EE 4347 Applid Elctromagntics Topic 3 Skin Dpth & Powr Flow Skin Dpth Ths & Powr nots Flow may contain

More information

Calculation of electromotive force induced by the slot harmonics and parameters of the linear generator

Calculation of electromotive force induced by the slot harmonics and parameters of the linear generator Calculation of lctromotiv forc inducd by th lot harmonic and paramtr of th linar gnrator (*)Hui-juan IU (**)Yi-huang ZHANG (*)School of Elctrical Enginring, Bijing Jiaotong Univrity, Bijing,China 8++58483,

More information

ON ERROR RESILIENT DESIGN OF PREDICTIVE SCALABLE CODING SYSTEMS. Ahmed ElShafiy, Tejaswi Nanjundaswamy, Sina Zamani, Kenneth Rose

ON ERROR RESILIENT DESIGN OF PREDICTIVE SCALABLE CODING SYSTEMS. Ahmed ElShafiy, Tejaswi Nanjundaswamy, Sina Zamani, Kenneth Rose ON RROR RSILINT DSIGN OF PRDICTIV SCALABL CODING SYSTMS Ahmd lshafiy Tjaswi Nanjundaswamy Sina Zamani Knnth Ros Dpartmnt of lctrical and Computr nginring Univrsity of California Santa Barbara CA 93106

More information

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.)

Status of LAr TPC R&D (2) 2014/Dec./23 Neutrino frontier workshop 2014 Ryosuke Sasaki (Iwate U.) Status of LAr TPC R&D (2) 214/Dc./23 Nutrino frontir workshop 214 Ryosuk Sasaki (Iwat U.) Tabl of Contnts Dvlopmnt of gnrating lctric fild in LAr TPC Introduction - Gnrating strong lctric fild is on of

More information

Problem Set 6 Solutions

Problem Set 6 Solutions 6.04/18.06J Mathmatics for Computr Scinc March 15, 005 Srini Dvadas and Eric Lhman Problm St 6 Solutions Du: Monday, March 8 at 9 PM in Room 3-044 Problm 1. Sammy th Shark is a financial srvic providr

More information

Uplink channel estimation for multi-user OFDM-based systems

Uplink channel estimation for multi-user OFDM-based systems plink channl stimation for multi-usr OFDM-basd systms Carlos Ribiro *, M. Julia Frnándz-Gtino García, Víctor P. Gil Jiménz Atílio Gamiro* and Ana García Armada Instituto Politécnico d Liria, Morro do Lna,

More information

11: Echo formation and spatial encoding

11: Echo formation and spatial encoding 11: Echo formation and spatial ncoding 1. What maks th magntic rsonanc signal spatiall dpndnt? 2. How is th position of an R signal idntifid? Slic slction 3. What is cho formation and how is it achivd?

More information

Bit-Loading Algorithms for OFDM with Adaptive Cyclic Prefix Length in PLC Channels

Bit-Loading Algorithms for OFDM with Adaptive Cyclic Prefix Length in PLC Channels Bit-Loading Algorithms for OFD with Adaptiv Cyclic Prfix Lngth in PLC Channls Salvator D Alssandro (), Andra. Tonllo (), and Lutz Lamp (3) (,) DIEG - Univrsità di Udin, Udin, Italy, -mail: salvator.dalssandro@uniud.it,

More information

Some Results on E - Cordial Graphs

Some Results on E - Cordial Graphs Intrnational Journal of Mathmatics Trnds and Tchnology Volum 7 Numbr 2 March 24 Som Rsults on E - Cordial Graphs S.Vnkatsh, Jamal Salah 2, G.Sthuraman 3 Corrsponding author, Dpartmnt of Basic Scincs, Collg

More information

Full Waveform Inversion Using an Energy-Based Objective Function with Efficient Calculation of the Gradient

Full Waveform Inversion Using an Energy-Based Objective Function with Efficient Calculation of the Gradient Full Wavform Invrsion Using an Enrgy-Basd Objctiv Function with Efficint Calculation of th Gradint Itm yp Confrnc Papr Authors Choi, Yun Sok; Alkhalifah, ariq Ali Citation Choi Y, Alkhalifah (217) Full

More information

Voltage, Current, Power, Series Resistance, Parallel Resistance, and Diodes

Voltage, Current, Power, Series Resistance, Parallel Resistance, and Diodes Lctur 1. oltag, Currnt, Powr, Sris sistanc, Paralll sistanc, and Diods Whn you start to dal with lctronics thr ar thr main concpts to start with: Nam Symbol Unit oltag volt Currnt ampr Powr W watt oltag

More information

THE P-PERSISTENT CSMA WITH THE FUNCTION OF MONITORING BASED ON TIME DIVISION MECHA- NISM

THE P-PERSISTENT CSMA WITH THE FUNCTION OF MONITORING BASED ON TIME DIVISION MECHA- NISM ISSN:3-56 Intrnational Journal of Innovativ Rsarch in Tchnology & Scinc(IJIRTS) THE P-PERSISTENT CSMA WITH THE FUNCTION OF MONITORING BASED ON TIME DIVISION MECHA- NISM Yifan Zhao, Yunnan Univrsity, Kunming,

More information

On the Asymptotic Performance of Delay-Constrained Slotted ALOHA

On the Asymptotic Performance of Delay-Constrained Slotted ALOHA On th Asymptotic Prformanc of lay-constraind Slottd ALOHA Li ng, Jing ng, Po-ing Chn, and Yunghsiang S. Han School of Elctrical Enginring & Intlligntization, ongguan Univrsity of Tchnology partmnt of Computr

More information

Radar Signal Demixing via Convex Optimization

Radar Signal Demixing via Convex Optimization Radar Signal Dmixing via Convx Optimization Gongguo Tang Dpartmnt of Elctrical Enginring Colorado School of Mins DSP 2017 Joint work with Youy Xi, Shuang Li, and Michal B. Wakin (Colorado School of Mins)

More information

Rational Approximation for the one-dimensional Bratu Equation

Rational Approximation for the one-dimensional Bratu Equation Intrnational Journal of Enginring & Tchnology IJET-IJES Vol:3 o:05 5 Rational Approximation for th on-dimnsional Bratu Equation Moustafa Aly Soliman Chmical Enginring Dpartmnt, Th British Univrsity in

More information

Detection of Energetic Particles by a Network of HF Propagation Paths in Alaska

Detection of Energetic Particles by a Network of HF Propagation Paths in Alaska Dtction of Enrgtic Particls by a twork of HF Propagation Paths in Alaska A.Y. Wong* HIPAS Obsrvatory, Fairbanks, AK and Dpt of Physics and Astronomy, UCLA *With th assistanc of G. Rosnthal, J. Pau, E.

More information

COMPUTER GENERATED HOLOGRAMS Optical Sciences 627 W.J. Dallas (Monday, April 04, 2005, 8:35 AM) PART I: CHAPTER TWO COMB MATH.

COMPUTER GENERATED HOLOGRAMS Optical Sciences 627 W.J. Dallas (Monday, April 04, 2005, 8:35 AM) PART I: CHAPTER TWO COMB MATH. C:\Dallas\0_Courss\03A_OpSci_67\0 Cgh_Book\0_athmaticalPrliminaris\0_0 Combath.doc of 8 COPUTER GENERATED HOLOGRAS Optical Scincs 67 W.J. Dallas (onday, April 04, 005, 8:35 A) PART I: CHAPTER TWO COB ATH

More information

Homework #3. 1 x. dx. It therefore follows that a sum of the

Homework #3. 1 x. dx. It therefore follows that a sum of the Danil Cannon CS 62 / Luan March 5, 2009 Homwork # 1. Th natural logarithm is dfind by ln n = n 1 dx. It thrfor follows that a sum of th 1 x sam addnd ovr th sam intrval should b both asymptotically uppr-

More information

Types of Transfer Functions. Types of Transfer Functions. Ideal Filters. Ideal Filters. Ideal Filters

Types of Transfer Functions. Types of Transfer Functions. Ideal Filters. Ideal Filters. Ideal Filters Typs of Transfr Typs of Transfr Th tim-domain classification of an LTI digital transfr function squnc is basd on th lngth of its impuls rspons: - Finit impuls rspons (FIR) transfr function - Infinit impuls

More information

Topology Optimization of Suction Muffler for Noise Attenuation

Topology Optimization of Suction Muffler for Noise Attenuation Purdu Univrsity Purdu -Pubs Intrnational Comprssor Enginring Confrnc School of Mchanical Enginring 2012 Topology Optimization of Suction Mufflr for Nois Attnuation Jin Woo L jinwool@ajou.ac.kr Dong Wook

More information

2. Background Material

2. Background Material S. Blair Sptmbr 3, 003 4. Background Matrial Th rst of this cours dals with th gnration, modulation, propagation, and ction of optical radiation. As such, bic background in lctromagntics and optics nds

More information

cycle that does not cross any edges (including its own), then it has at least

cycle that does not cross any edges (including its own), then it has at least W prov th following thorm: Thorm If a K n is drawn in th plan in such a way that it has a hamiltonian cycl that dos not cross any dgs (including its own, thn it has at last n ( 4 48 π + O(n crossings Th

More information

Inter-Packet Symbol Approach To Reed-Solomon FEC Codes For RTP-Multimedia Stream Protection

Inter-Packet Symbol Approach To Reed-Solomon FEC Codes For RTP-Multimedia Stream Protection Intr-Packt Symbol Approach To Rd-Solomon FEC Cods For RTP-Multimdia Stram Protction Filippo Casu, Julián Cabrra, Frnando Jaurguizar, Narciso García Grupo d Trataminto d Imágns Univrsidad Politécnica d

More information

That is, we start with a general matrix: And end with a simpler matrix:

That is, we start with a general matrix: And end with a simpler matrix: DIAGON ALIZATION OF THE STR ESS TEN SOR INTRO DUCTIO N By th us of Cauchy s thorm w ar abl to rduc th numbr of strss componnts in th strss tnsor to only nin valus. An additional simplification of th strss

More information

Two Products Manufacturer s Production Decisions with Carbon Constraint

Two Products Manufacturer s Production Decisions with Carbon Constraint Managmnt Scinc and Enginring Vol 7 No 3 pp 3-34 DOI:3968/jms9335X374 ISSN 93-34 [Print] ISSN 93-35X [Onlin] wwwcscanadant wwwcscanadaorg Two Products Manufacturr s Production Dcisions with Carbon Constraint

More information

E hf. hf c. 2 2 h 2 2 m v f ' f 2f ' f cos c

E hf. hf c. 2 2 h 2 2 m v f ' f 2f ' f cos c EXPERIMENT 9: COMPTON EFFECT Rlatd Topics Intractions of photons with lctrons, consrvation of momntum and nrgy, inlastic and lastic scattring, intraction cross sction, Compton wavlngth. Principl Whn photons

More information

Economics 201b Spring 2010 Solutions to Problem Set 3 John Zhu

Economics 201b Spring 2010 Solutions to Problem Set 3 John Zhu Economics 20b Spring 200 Solutions to Problm St 3 John Zhu. Not in th 200 vrsion of Profssor Andrson s ctur 4 Nots, th charactrization of th firm in a Robinson Cruso conomy is that it maximizs profit ovr

More information