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GATE 2019: Signal & System Quiz 5
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Question 1
The trigonometric Fourier series coefficients of a periodic signal 
shown in figure will have only
shown in figure will have only Question 2
The Fourier series expansion 
of the periodic signal shown below will contain the following nonzero terms
of the periodic signal shown below will contain the following nonzero terms Question 3
The expression of trigonometrical Fourier series coefficient 
in terms of exponential Fourier series coefficient 
is
in terms of exponential Fourier series coefficient is Question 4
The signum function is given by 
The Fourier series expansion of sgn (cost) has
Question 5
x (t) is a real valued function of a real variable with period T. Its trigonometric Fourier Series expansion contains no terms of frequency ω = 2rc (2k)/T; k = 1, 2, ... Also, no sine terms are present. Then x (t) satisfies the equation
Question 6
Let x (t) be a periodic signal with time period T. Let y (t) = x (t – t0) + x (t + t0) for some t0. The Fourier series coefficients of y (t) are denoted by bk . If bk = 0 for all odd k, then t0 can be equal to
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Jun 21ESE & GATE EC
