GATE ECE 2021 Paper 1 — page 11

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

The autocorrelation function

of a wide-sense stationary random process

is shown in the figure. The average power of

is ______.

Diagram for Electronics and Communication Engineering question 21

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Consider a carrier signal which is amplitude modulated by a single-tone sinusoidal message signal with a modulation index of 50%. If the carrier and one of the sidebands are suppressed in the modulated signal, the percentage of power saved (rounded off to one decimal place) is ______.

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A speech signal, band limited to 4 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 transmitted over a voice-grade AWGN telephone channel. If the ratio of transmitted signal power to channel noise power is 26 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 ______ kHz.

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2021 · Paper 1

Question 21

Question 22

Question 23