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This mock test of Continuous Time Fourier Series for GATE helps you for every GATE entrance exam.
This contains 8 Multiple Choice Questions for GATE Continuous Time Fourier Series (mcq) to study with solutions a complete question bank.
The solved questions answers in this Continuous Time Fourier Series quiz give you a good mix of easy questions and tough questions. GATE
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QUESTION: 1

If, f(t) = -f(-t)and f(t) satisfy the dirichlet conditions then f(t) can be expanded in a fourier series containing

Solution:

QUESTION: 2

The trigonometric Fourier series expansion of an odd function shall have

Solution:

QUESTION: 3

A periodic triangular wave is shown in figure its fourier components will consists only of

Solution:

QUESTION: 4

Determine the Fourier series coefficient for given periodic signal x(t) is

Solution:

QUESTION: 5

Consider the three continuous time signals with fundamental period of T = 1/2

x(t) = cos4πt

y(t) = sin 4πt

z(t) = x(t)·y(t)

The Fourier co-efficient of z(t) are given by

Solution:

QUESTION: 6

Consider a continuous time periodic signal x(t) given by

Solution:

QUESTION: 7

The Fourier series coefficient of time domain signal have been given. Determine the corresponding time domain signal and choose correct option.

Solution:

QUESTION: 8

If f(x) = | cosx | ; (-π < x < π), then the fourier series coefficient a_{0} and b_{2} is

Solution:

∴

Here

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