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Signals and Systems by Smarajit Ghosh

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SHORT QUESTIONS AND ANSWERS

 

Q1. What do you mean by Fourier transform?

Ans.: The Fourier transform of the function f(t) represented by the equation

 

image

 

Q2. State the condition for existence of Fourier integral.

Ans.: The sufficient condition for the existence of Fourier transform of a function f(t) is that the area under the function f(t) be finite. Hence, for the existence of Fourier transform is

 

image

 

The above absolute integrability criteria must be satisfied to give the guarantee for the existence of Fourier transforms.

Q3. Give the inverse ...

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