Answers to Selected Problems - Digital Signal Processing: Fundamentals and Applications - page 846

11.5. For x ¼ 1 : 6 volts, binary code ¼ 111, x q ¼ 1 : 132 volts, and e q ¼ 0 : 468 volts
For x ¼ 0 : 2 volts, binary code ¼ 010, x q ¼ 0 : 224 volts, and e q ¼ 0 : 024 volts
11.9. a. 00010101
b. 11100111
11.10. a. 000000000111
b. 101100110000

11.13.

010
001
010

11.14. For binary code ¼ 110, xð 0 Þ¼xð 0 Þþd q ð 0 Þ¼ 0 þ 5 ¼ 5
For binary code ¼ 100, xð 1 Þ¼xð 1 Þþd q ð 1 Þ¼ 5 þ 0 ¼ 5
For binary code ¼ 110, xð 2 Þ¼xð 2 Þþd q ð 2 Þ¼ 5 þ 2 ¼ 7
11.17. a. 1:1
b. 2:1
c. 4:1
11.18. a. 128 KBPS
b. 64 KBPS
c. 32 KBPS
11.21. a. 12 channels
b. 24 channels
c. 48 channels

11.22. X DCT ð 0 Þ¼ 54 ; X DCT ð 1 Þ¼ 0 : 5412 ; X DCT ð 2 Þ¼ 4 ; X DCT ð 3 Þ¼ 1 : 3066

11.25. X DCT ð 1 Þ¼ 33 : 9730 ; X DCT ð 3 Þ¼ 10 : 4308 ; X DCT ð 5 Þ¼ 1 : 2001 ; X DCT ð 7 Þ¼ 1 : 6102

11.26. a. Inverse DCT: 10.0845 6.3973 13.6027 2.0845
b. Recovered inverse DCT: 11.3910 8.9385 15.0615 3.3910
c. Quantization error: 1.3066 2.5412 1.4588 1.3066
11.29. a. 9.0711 0.5858

13 : 3137 0 : 0000

7 : 8995 0 : 5858

b. 3, 4, 5, 4

CHAPTER 12
12.3 a.

x () y ()

w ()

Anti-aliasing
filter H(z)

↓ 4

f = 8000 Hz

f = 8000 Hz f = 2000 KHz

s

s sM

b. Hamming window, N ¼ 133, f c ¼ 900 Hz