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The overshoot near discontinuity vanishes as more and modes are retained.

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in Signals and Systems by (1.2m points)
The overshoot near discontinuity vanishes as more and modes are retained.

(a) True

(b) False

I had been asked this question in a job interview.

Origin of the question is Gibb’s Phenomena, Convergence of Fourier Series in chapter Fourier Series of Signals and Systems

1 Answer

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by (42.1k points)
Right answer is (b) False

The best I can explain: 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.

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