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GATE EC 2020 || Signals & Systems || Fourier Series Representation of Continuous Periodic Signals Quiz 1 (App update required to attempt this test)

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Question 1

A discrete time signal with input as x[n] has impulse response h[n]=kδ[n] where k is constant. The output y[n] of the system is given as:

Question 2

which of the following functions cannot be expanded in Fourier series in the interval (-π, π)

Question 3

Continuous time Fourier transform of a signal given below is , then the value of at is given by ____.

Question 4

Consider a continuous time signal given as

Find the continuous time Fourier Transform of the signal.

Question 5

Let denotes the exponential Fourier series coefficients of a continuous time signal , the fundamental frequency is and is given as

Then the value of

Is given by

Question 6

Consider a discrete time periodic signal of period of whose one period is given as follows

The discrete time Fourier series coefficients of is given as
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Sep 22ESE & GATE EC