An audio signal s(t) = 5cos (2000πt) is quantized using 10-bit PCM. What is the signal-to-quantization noise ratio?

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UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper

Answer 1

Quantization:

Quantization is the process of assigning voltage levels to the samples, is called quantization.
This quantization noise can be decreased by increasing the number of quantization levels, is called signal to quantization noise ratio.

Given that,

\(s(t) = 5cos(200\pi t) \)

number of bits n =10.

\({s}\over{Nq} \)= \({3}\over{2} \)\(\times\)2²ⁿ

= \({3}\over{2}\)\(\times\)2^{2\(\times\)10}

= 1.5x 2²⁰

= 1.57 \(\times\)10⁶

Here, option 3 is correct.

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