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Question 6.3: For the PCM coding scheme shown in Figure 8, determine the q......

For the PCM coding scheme shown in Figure 8, determine the quantized voltage, quantization error (Q_{e}), and PCM code for the analog sample voltage of +1.07 V.

ch6_figure_8
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To determine the quantized level, simply divide the sample voltage by resolution and then round the answer off to the nearest quantization level:

\frac{+1.07\,V}{1\,V} = 1.07 = 1

The quantization error is the difference between the original sample voltage and the quantized level, or

Q_{e} = 1.07 − 1 = 0.07

From Table 2, the PCM code for +1 is 101.

ch6_table_2

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