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Convolution Theorems

The convolution theorem states that convolution in time domain corresponds to multiplication in frequency domain and vice versa:




Proof of (a):



Proof of (b):




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Convolution Theorems

The convolution theorem states that convolution in time domain corresponds to multiplication in frequency domain and vice versa:




Proof of (a):



Proof of (b):




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pls tel me in details with example

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The circular convolution of two aperiodic functions occurs when one of them is convolved in the normal way with a periodic summation of the other function. That situation arises in the context of the Circular convolution theorem. The identical operation can also be expressed in terms of the periodic summations of both functions, if the infinite integration interval is reduced to just one period. That situation arises in the context of the Discrete-time Fourier transform (DTFT) and is also called periodic convolution. In particular, the transform (DTFT) of the product of two discrete sequences is the periodic convolution of the transforms of the individual sequences.

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for finding convolution of periodic signals we use circular convolution

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yes we can perform linear convolution from circular convolution, but the thing is zero pading must be done upto N1+N2-1 inputs.

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