GATE EC 2026 Set 1 — Question 22
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Communications → Source Coding & Baseband Transmission → Nyquist Criterion (Zero ISI)
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Question
Consider a discrete memoryless source with an alphabet of four source symbols. is a multi-level (-1, 0, +1, +2) signal representing a long sequence of random symbols from the above source which is generating symbols per second.Which of the following options is the correct value of equivalent Nyquist bandwidth of ?
Correct answer
(C) 5 kHz
Solution
The Nyquist bandwidth () for a baseband signal with a symbol rate is defined as the minimum bandwidth required to transmit the symbols without Inter-Symbol Interference (ISI), which is given by:Given the symbol rate symbols per second, the equivalent Nyquist bandwidth is:Thus, option (C) is correct.
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