Realisation of a 2-dimensional f.i.r. digital filter using separable filters

Realisation of a 2-dimensional f.i.r. digital filter using separable filters

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The scheme for the expansion of a 2-dimensional f.i.r. digital filter function into a sum of separable functions is generalised. Using the generalised procedure a m × m order filter function can be expressed in as many as m!n!/(|mn| + 1)! ways. Further it is also proved that the number of terms in the expansion will be equal to the rank of the matrix.


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      • S. Treital , J.L. Shanks . The design of multistage separable planer filters. IEEE Trans. , 10 - 27

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