This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Gibb’s Phenomena, Convergence of Fourier Series”.

1. Where does the gibbs phenomenon occur?

a) Gibbs phenomenon occurs near points of discontinuity

b) Gibbs phenomenon occurs only near points of discontinuity

c) Gibbs phenomenon occurs only ahead of points of discontinuity

d) Gibbs phenomenon does not occur near points of discontinuity

2. What causes the gibbs phenomenon?

a) Abruptly terminating the signals

b) Abruptly integrating the signals

c) x(t) should be continuous only

d) Signal should be discontinuous

3. 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

4. When a continuous function is synthesized by using the first N terms of the fourier series does the gibbs phenomenon occur?

a) True

b) False

5. What is the fourier convergence theorem?

a) Fourier series approximation oscillates about the numerical value

b) Fourier coefficients converge near a discontinued point

c) In any finite interval, x (t) is of unbounded variation

d) In majority finite interval, x(t) is of unbounded variation

6. What is the overshoot number?

a) Infinite

b) Finite

c) Zero

d) More than 10

7. When is fourier convergence theorem applicable?

a) Infinite series limit

b) Continuous function limit

c) Discrete function limit

d) Breakpoint limits

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

a) True

b) False

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