Waveform Quantization and Compression - Digital Signal Processing: Fundamentals and Applications - page 550

Table 11.9

FIGURE 11.19

DPCM encoding in Problem 11.13.

Table 11.9 Quantization Table for the 3-bit Quantizer in Problem 11.13
Binary Code

Quantization Value d q ðnÞ Subrange in dðnÞ

011
010
001
000
100
101
110
111

11
5
2
0
0
2
5
11

15 dðnÞ < 7
7 dðnÞ < 3
3 dðnÞ < 1
1 dðnÞ < 0
0 dðnÞ 1
1 < dðnÞ 3
3 < dðnÞ 7
7 < dðnÞ 15

11.14. Consider a 3-bit DPCM decoding system with the following specifications (Figure 11.20) :

Decoding scheme : xðnÞ¼xðn 1 Þð predictor Þ
d q n ¼ quantizer in Table 11 : 9
x n ¼ x n þ d q n
Three received binary codes: 110, 100, 101

Perform DCPM decoding to recover each digital value using its binary code.

Table 11.9

FIGURE 11.20

DPCM decoding in Problem 11.14.