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The quantization noise in pulse code modulation (PCM) is mostly affected by which of the following options when the input signal is a random process?
Question

The quantization noise in pulse code modulation (PCM) is mostly affected by which of the following options when the input signal is a random process?

A.

The frequency of the quantizer

B.

The bit depth of the input signal

C.

The number of quantization levels

D.

The frequency of the input signal

Correct option is C

In Pulse Code Modulation (PCM), when the input signal is a random process, the quantization noise power mainly depends on the quantization step size, which is directly related to the number of quantization levels L. Increasing the number of quantization levels => smaller step size Smaller step size => lower quantization noiseMathematically, quantization noise power is proportional to:Δ2(1L)2Thus, the number of quantization levels is the dominant factor affecting quantization noise.\text{In Pulse Code Modulation (PCM), when the input signal is a random process, the quantization noise power mainly depends on the quantization step size, which is directly related to the number of quantization levels } L . \\[8pt]\bullet \ \text{Increasing the number of quantization levels } \Rightarrow \text{ smaller step size} \\[4pt]\bullet \ \text{Smaller step size } \Rightarrow \text{ lower quantization noise} \\[10pt]\text{Mathematically, quantization noise power is proportional to:} \\[8pt]\Delta^{2} \propto \left(\frac{1}{L}\right)^{2} \\[10pt]\text{Thus, the number of quantization levels is the dominant factor affecting quantization noise.}​​

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