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What is the overshoot number?

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+1 vote
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in Signals and Systems by (1.2m points)
What is the overshoot number?

(a) Infinite

(b) Finite

(c) Zero

(d) More than 10

I had been asked this question in unit test.

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

1 Answer

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by (42.1k points)
Correct option is (b) Finite

The explanation: The overshoot near discontinuity does not vanish as more and modes are retained. Instead, the overshoot is finite no matter what finite numbers of modes N are retained. Even though the region of overshoot gets progressively smaller as N ↔∞.

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