SC434L DVCC Assignmen Special Sujec SC434L Digial Vieo Coing an Compession ASSINMENT -Soluions Due Dae: Fiay 30 Augus 2002 This assignmen consiss of wo pages incluing wo compulsoy quesions woh of 0% of he oal maks fo he sujec, wih a onus quesion woh of 2%. Quesion A. (4% of he oal maks fo he sujec iven he convesion of he gamma coece an nomalize i-simulus analog signals R,, an B o componen YU V signals is efine as Y 0.299R+ 0.587+ 0.4 B (A. B Y U 2.03 (A. 2 R Y V.4 (A. 3 an RB o igial componen Y C C convesion is given y Y 29Y + 6 (A. 4 2( B Y C + 28 (A. 5 0.886 2( R Y C + 28 (A. 6 0.70 whee igial luminance, Y, has a ang of (6-235 wih 220 levels saing a 6, an igial chominance iffeence signals, C an C, have a ange of (6-240 wih 225 levels cenee a 28, fin he ITU-R (fomely CCIR 60 colou ansfomaion fom igial R B o Y C C an is invese, assuming ha 8-i igial RB signals ae efine as R 255R, 255 an B 255B.. RB coespons o efeence whie C of uniy luminance. 2. Woking an eivaion poceues mus e shown in you soluion o he quesion. [Soluions A.] Fo he fowa ansfomaion fom R B o Y C C, we susiue Eq (A.- ino Eqs (A.-4 o (A.-6 o eliminae Y, an R R, 255, an B B o eliminae R,, B, esuling in 255 255 Y 29 ( 0.299R + 0.587 + 0.4B + 6 255 (SA.- 0.257R + 0.504 + 0.098B + 6
SC434L DVCC Assignmen 2 ( B (0.299R + 0.587 + 0.4 B C 255 + 28 0.886 0.48R 0.29 + 0.439B + 28 (SA.-2 2 ( R (0.299R + 0.587 + 0.4 B C 255 + 28 (SA.-3 0.70 0.439R 0.368 0.07B + 28 In maix fom, we have Y 0.257 0.504 0.098 R 6 C 0.48 0.29 0.439 28 + (SA.-4 C 0.439 0.368 0.07 B 28 Fo he invese ansfomaion fom Y C C o R B, we sa fom Eqs (A.- o (A.-3, expessing R,, an B in ems of Y, U an V : R Y +.4V (SA.-5 ( Y 0.299R 0.4B (SA.-6 0.587 B Y + 2.03U (SA.-7 Susiue Eqs (SA.-5 an (SA.-7 ino Eq (SA.-6, esuling in ( Y 0.299( Y +.4 V 0.4( Y + 2.03 U 0.587 (SA.-8 Y 0.394U 0.58V We nee o eplace YU V y hei igial counepa YC C. Fom Eq (A.-4, Y ( Y 6 (SA.-9 29 Fom Eqs (A.-2 an (A.-5, we have 0.886 U ( C 28 (SA.-0 2.03 2 Fom Eqs (A.-3 an (A.-6, we have 0.70 V ( C 28 (SA.-.4 2 Susiue Eqs (SA.-9 o (SA.- ino Eqs (SA.-5, (SA.-7 an (SA.-8, esuling in 0.70 R 255 R 255 ( Y 6 +.4 ( C 28 29.4 2 (SA.-2.64 Y 6 +.596 C 28 ( ( 2
SC434L DVCC Assignmen 0.886 0.70 255 255 ( Y 6 0.394 ( C 28 0.58 ( C 28 29 2.03 2.4 2.64 6 0.392 28 0.83 28 ( Y ( C ( C 0.886 B 255 B 255 Y 6 + 2.03 C 28 29 2.03 2.64 6 + 2.0723 28 ( ( ( Y ( C In maix fom, we have R.64 0.000.596 Y 6.64 0.392 0.83 C 28 B.64 2.07 0.000 C 28 (SA.-3 (SA.-4 (SA.-5 Alenaively, fom Eq (SA.-4 we have R 0.257 0.504 0.098 Y 6 0.48 0.29 0.439 C 28 B 0.439 0.368 0.07 C 28 (SA.-6 Quesion A.2 (6% of he oal maks fo he sujec Consieing ansmission of he ITU-R 60 igial vieo wih he Y C C (4:2:2 foma, 8-i pe componen an a esoluion of 720 x 480 pixels pe fame a 30 fames pe secon, a. calculae he minimum compession aio equie o ansmi he vieo o uses ove an ADSL connecion wih.5 Mps ownlink (ne o use an 786 Kps uplink (use o ne;. epea Quesion A.2 a. fo ITU-R 60 igial vieo wih he Y C C (4:2:0 foma; an c. esimae how much soage space will e equie o soe a 90 minue movie on a vieo isk fo he uncompesse igial vieo wih he aove fomas. 3. Woking an eivaion poceues mus e shown in you soluion o he quesion. [Soluions A.2] a. The i ae fo aw igial vieo aa wih 4:2:2 foma is Raw422 30 fames / s [ 720 + 360 + 360] 480 componen pixels / fame 8 is / componen pixel 65,888, 000ps 65.888Mps (SA.2-3
SC434L DVCC Assignmen Since he newok o use anwih, compession aio equie is: C R R / R aw422 c R c 65.888 Mps /.5Mps, is.5 Mps, he minimum (SA.2-2 0.592. The i ae fo aw igial vieo aa wih 4:2:0 foma is Raw420 30 fames / s [ 720 480 + (360 + 360 240 ] componen pixels / fame 8 is / componen pixel 24, 46, 000ps 24.46Mps Since he newok o use anwih, compession aio equie is: C R R / R aw420 c 24.46 Mps /.5Mps R c (SA.2-3, is.5 Mps, he minimum (SA.2-4 82.944 c. The soage space equie fo a 90 minue movie wih 4:2:2 foma is: Saw422 65.88Mps 90minues 60 s / minue 895,795,200,000is,974, 400, 000Byes 09,350,000kByes 06,787MByes (SA.2-5 04Byes The soage space equie fo a 90 minue movie wih 4:2:0 foma is: Saw420 24.46Mps 90minues 60 s / minue 67,846,400,000is 83,980,800,000Byes 82,02,500kByes 80,090MByes 78Byes (SA.2-5 Quesion A.3 (Bonus, 2% of he oal maks fo he sujec Base on efeences which you have ea, compose/wie a one-page epo expessing you views on whehe vieo compession is necessay, highlighing he means y which vieo compession can e achieve, i.e., how vieo compession is possile, an poviing examples of applicaions fo igial vieo compession. 4. Whee saemens ae mae, appopiae efeences ae o e given an he souces of infomaion ae o e povie. 4
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