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Line 104: By applying the properties of separability, this can then be rewritten as the following: <math>x(n_1,n_2)**h(n_1,n_2)=\bigg(\sum_{k_1=-\infty}^{\infty} h(k_1)x(n_1-k_1)\bigg)\bigg(\sum_{k_2=-\infty}^{\infty}h(~~k_1~~k_2)x(~~n_1~~n_2-~~k_1~~k_2)\bigg)</math> It is readily seen then that this reduces to the product of one-dimensional convolutions:

Multidimensional discrete convolution: Difference between revisions