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For a n bit quantizer, number of levels is equal to __________

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For a n bit quantizer, number of levels is equal to __________

(a) n

(b) 2^n

(c) n^2

(d) 2n

I had been asked this question by my college director while I was bunking the class.

The query is from Quantization Techniques topic in chapter Speech Coding of Wireless/Mobile

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The correct option is (b) 2^n

Easiest explanation: A quantizer that uses n bits can have M = 2n discrete amplitude levels. Amplitude quantization is an important step in any speech coding process, and it determines to a great extent the overall distortion as well as bit rate necessary to represent each waveform.

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