Multidimensional discrete convolution: Difference between revisions

Revision as of 10:56, 1 September 2022

Revision as of 12:17, 1 September 2022

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===Problem statement and basics===

Similar to the one-dimensional case, an asterikasterisk is used to represent the convolution operation. The number of dimensions in the given operation is reflected in the number of asterisks. For example, an ''M''-dimensional convolution would be written with ''M'' asterisks. The following represents a ''M''-dimensional convolution of discrete signals:

<math>y(n_1,n_2,...,n_M)=x(n_1,n_2,...,n_M)* \overset{M}{\cdots} *h(n_1,n_2,...,n_M)</math>