Standard Codecs: Image Compression to Advanced Video Coding

Appendix F: Solutions to the Problems

Chapter 2

  1. r

    g

    b

    y

    c

    m

    w

    R

    1

    0

    0

    1

    0

    1

    1

    G

    0

    1

    0

    1

    1

    0

    1

    B

    0

    0

    1

    0

    1

    1

    1

  2. r

    g

    b

    y

    c

    m

    w

    Y

    82

    145

    41

    210

    170

    107

    235

    c b

    90

    54

    240

    16

    166

    202

    128

    c r

    240

    34

    110

    146

    16

    222

    128

  3. and

  4. ; 864 - 720 = 144 pixels;

  5. 857 pixels; 857 - 720 = 137 pixels; 10 ?s

    1. 720 576 25 2 8 = 166 Mbit/s

    2. 720 480 30 2 x 8 = 166 Mbit/s

    3. 360 288 25 1.5 8 = 31 Mbit/s

    4. 360 240 30 1.5 8 = 31 Mbit/s

    5. 37 Mbit/s

    6. 31 Mbit/s

    7. 31 Mbit/s

    8. 4.7 Mbit/s

    9. 1.4 Mbit/s

  6. 94 73 194 184 50 204 207

  7. 94 82 73 132 194 201 184 109 50 121 204 222 207 PSNR = 20.2 dB

    1. A sinusoid with amplitude A has a peak-to-peak 2A = 2 n ? ? ? A = A 2 1- n


    2. Peak-to-peak power of the sinusoid is


      higher than its mean power ? PSNR = 10.78 + 6n

    3. 10.78 + 6 n ? 58 ? n ? 8 bits

Chapter 3

    1. x ? 16; y = 0 16 < x ? 32; y = 24 32 <...

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