I know exactly what is periodic convolution. But i don't know if circular convolution means to be the same thing!
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You did not give specific details on how you define periodic or circular. Assuming standard definitions, the answer is yes.
Standard infinite-support data is treated with standard convolution. When the support is finite, the "outer unknown samples" require assumptions.
Zero-valued outside samples is a common assertion. Another option, often used with Fourier or wavelet transforms, consists in arranging finite-support data on a ring or torus, the first sample following the last one.
It is often termed periodic, cyclic or circular, with a similar meaning.
answered Mar 18 '17 at 14:06
