Standard Codecs: Image Compression to Advanced Video Coding (IET Telecommunications Series)

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

    cb

    90

    54

    240

    16

    166

    202

    128

    cr

    240

    34

    110

    146

    16

    222

    128

  3. and

  4. ; 864 - 720 = 144 pixels;

  5. 857 pixels; 857 - 720 = 137 pixels; 10 μs

    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

  7. 94 73 194 184 50 204 207

  8. 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 = 2n ∆ ⇒ ∆ A = A 21-n

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

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

    3. 10.78 + 6n ≥ 58 ⇒ n ≥ 8 bits

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