Waveform Quantization and Compression - Digital Signal Processing: Fundamentals and Applications - page 549

11.6. For the m -law compression and expanding process shown in Figure 11.3 with m ¼ 255,

a 3-bit midtread quantizer described in Figure 11.1 , and an analog signal range from 4to
4 volts, determine the binary codes, recovered voltages, and quantization errors when each
input is 2.6 volts and 0.1 volt.

For the m -law compression and expanding process shown in Figure 11.3 with m ¼ 255,
a 3-bit midtread quantizer described in Figure 11.1 , and an analog signal range from 5to
5 volts, determine the binary codes, recovered voltages, and quantization errors when each
input is 2.6 volts and 3.5 volts.

11.7.

11.8. For the m -law compression and expanding process shown in Figure 11.3 with m ¼ 255, a

3-bit midtread quantizer described in Figure 11.1 , and an analog signal range from 10 to
10 volts, determine the binary codes, recovered voltages, and quantization errors when each
input is 5, 0, and 7.2 volts.

11.9. In a digital companding system, encode each of the following 12-bit linear PCM codes into

8-bit compressed PCM code:
a. 000000010101
b. 101011101010

11.10. In a digital companding system, decode each of the following 8-bit compressed PCM codes

into 12-bit linear PCM code:
a. 00000111
b. 11101001

11.11. In a digital companding system, encode each of the following 12-linear PCM codes into the

8-bit compressed PCM code:
a. 001010101010
b. 100000001101

11.12. In a digital companding system, decode each of the following 8-bit compressed PCM codes
into the 12-bit linear PCM code:
a. 00101101
b. 10000101
11.13. Consider a 3-bit DPCM encoding system with the following specifications ( Figure 11.19 ):

Encoder scheme : xðnÞ¼xðn 1 Þð predictor Þ
dðnÞ¼xðnÞxðnÞ
d q n ¼ Q½dðnÞ ¼ quantizer in Table 11 : 9
x n ¼ x n þ d q n
5-bit input data: xð 0 Þ¼ 6, xð 1 Þ¼ 8, and xð 2 Þ¼ 13

Perform DPCM encoding to produce the binary code for each input data.