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GATE 2023 EC – Question 29

Networks, Signals and Systems · Continuous-time Signals · 1 mark · Multiple choice

In the table shown below, match the signal type with its spectral characteristics.

Signal typeSpectral characteristics
(i) Continuous, aperiodic(a) Continuous, aperiodic
(ii) Continuous, periodic(b) Continuous, periodic
(iii) Discrete, aperiodic(c) Discrete, aperiodic
(iv) Discrete, periodic(d) Discrete, periodic
  1. (i) → (a), (ii) → (b), (iii) → (c), (iv) → (d)
  2. (i) → (a), (ii) → (c), (iii) → (b), (iv) → (d)
  3. (i) → (d), (ii) → (b), (iii) → (c), (iv) → (a)
  4. (i) → (a), (ii) → (c), (iii) → (d), (iv) → (b)

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Correct answer: (B) (i) → (a), (ii) → (c), (iii) → (b), (iv) → (d)

Explanation

Continuous aperiodic signals have continuous aperiodic spectra (i→a). Continuous periodic signals have discrete (line) spectra that are aperiodic (ii→c). Discrete aperiodic signals have continuous spectra that are periodic (iii→b). Discrete periodic signals have discrete periodic spectra (iv→d).