Module 3 : Sampling and Reconstruction
Lecture 28 : Discrete time Fourier transform and its Properties
 

Convolution Property :

Let h[n] be the impulse response of a discrete time LSI system. Then the frequency response of the LSI system is

Now

and

If

then


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Proof

now put n-k =m, for fixed k,


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This is a very useful result.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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