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GATE 2026 EC – Question 22

Communications · Digital Communications · 1 mark · Multiple choice

Consider a discrete memoryless source with an alphabet of four source symbols. $s(t)$ is a multi-level (-1, 0, +1, +2) signal representing a long sequence of random symbols from the above source which is generating $10^4$ symbols per second. Which of the following options is the correct value of equivalent Nyquist bandwidth of $s(t)$?

  1. 10 kHz
  2. 64 kHz
  3. 5 kHz
  4. 20 kHz

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Correct answer: (C) 5 kHz

Explanation

The Nyquist (minimum) bandwidth is half the symbol rate, $R_s/2=10^4/2=5$ kHz. The number of levels does not change it.