Multidimensional discrete convolution: Difference between revisions

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<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>