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A speech signal occupying the bandwidth of 300 Hz to 3 kHz is converted into PCM format for use in digital communication. If the sampling frequency is8 kHz and each sample is quantized into 256 levels, then the output bit the rate will be

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A speech signal occupying the bandwidth of 300 Hz to 3 kHz is converted into PCM format for use in digital communication. If the sampling frequency is8 kHz and each sample is quantized into 256 levels, then the output bit the rate will be

(a) 3 kb/s

(b) 8 kb/s

(c) 64 kb/s

(d) 256 kb/s

I have been asked this question in an online quiz.

Enquiry is from Digital Transmission in chapter EDC Overview of Electronic Devices & Circuits

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The correct answer is (c) 64 kb/s

The explanation: fs = 8 kHz, 2^n = 256 or n = 8. Bit Rate = 8 x 8k = 64 kb/s.

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