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Sinc pulse shaping is derived from the Fourier Transform of a _______ function.

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RRB JE ECE 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. sine
  2. sawtooth
  3. triangular
  4. rectangular

Answer (Detailed Solution Below)

Option 4 : rectangular
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Detailed Solution

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Concept:

Sinc pulse shaping is commonly used in digital communication systems to achieve ideal Nyquist pulse shaping, minimizing intersymbol interference (ISI).

The sinc function is defined as: \( \text{sinc}(t) = \frac{\sin(\pi t)}{\pi t} \)

Explanation:

The sinc function arises as the inverse Fourier Transform of a rectangular function in the frequency domain.

In other words, if the frequency spectrum is a perfect rectangular shape (ideal low-pass filter), its time-domain representation is a sinc function.

Conclusion:

Correct Answer: Option 4) rectangular

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