GATE EE 2014 Set 3 — Question 15
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Signals & Systems → Fourier Analysis & Sampling → Fourier Transform Properties
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Question
A function is shown in the figure.
The Fourier transform of is
Correct answer
(C) imaginary and odd function of ω.
Solution
From the given figure, the function is real and odd ().
According to the properties of the Fourier Transform:
According to the properties of the Fourier Transform:
1.If is real and even, is real and even.
2.If is real and odd, is purely imaginary and odd.
3.If is imaginary and even, is imaginary and even.
4.If is imaginary and odd, is real and odd.
Since is real and odd, its Fourier transform is imaginary and odd.Continue learning with Success Tracker
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