Official PYQ · 2021Set 1 · Q23Information TheoryNAT1 mark

GATE EC 2021 Set 1 Q23 — Information Theory

A speech signal, band limited to $4\:\text{kHz}$ , is sampled at $1.25$ times the Nyquist rate. The speech samples, assumed to be statistically independent and uniformly distributed in the range $-5\:V$ to $+5\:V$ , are subsequently quantized in an $8$ -bit uniform quantizer and then transmitted over a voice-grade $\text{AWGN}$ telephone channel. If the ratio of transmitted signal power to channel noise power is $26\:\text{dB}$ , the minimum channel bandwidth required to ensure reliable transmission of the signal with arbitrarily small probability of transmission error (rounded off to two decimal places) is _____ $\text{kHz}$ .

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Answer: 9.24:9.28

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Published 10 Oct 2026

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