Multidimensional discrete convolution: Difference between revisions

Revision as of 13:07, 28 February 2016

Revision as of 06:52, 19 June 2016

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'''''Distributive Property:'''''

<math>x**(h+g) = (x**h) =+ (x**g)</math>

These properties are seen in use in the figure below. Given some input <math>x(n_1, n_2)</math> that goes into a filter with impulse response<math>h(n_1, n_2)</math> and then another filter with impulse response <math>g(n_1, n_2)</math>, the output is given by <math>y(n_1, n_2)</math>. Assume that the output of the first filter is given by <math>w(n_1, n_2)</math>, this means that:

<math>w = x ** h</math>