JEE Main · PhysicsHard

$A signal is to be transmitted through a channel with a bandwidth of B = 5 MHz . If the signal is sampled at the Nyquist rate and each sample is quantized into L = 128 levels, what is the maximum bit rate R_{b} ?$

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Correct answer: B — $70 Mbps$

Solution

Sampling rate f_{s} = 2 B = 10 MHz . Bits per sample n = lo g_{2} (128) = 7 . Bit rate R_{b} = f_{s} \times n = 10 \times 1 0^{6} \times 7 = 70 Mbps .