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When is the gibbs phenomenon present in a signal x(t)?

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+1 vote
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in Signals and Systems by (1.2m points)
When is the gibbs phenomenon present in a signal x(t)?

(a) Only when there is a discontinuity in the signal

(b) Only when the signal is discrete

(c) Only when there is a jump discontinuity in the signal

(d) Gibbs phenomenon is not possible in continuous signals

This question was posed to me in an internship interview.

My question is taken from Gibb’s Phenomena, Convergence of Fourier Series topic in division Fourier Series of Signals and Systems

1 Answer

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by (42.1k points)
Correct option is (c) Only when there is a jump discontinuity in the signal

To elaborate: The gibbs phenomenon present in a signal x (t), only when there is a jump discontinuity in the signal.

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