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Stability of 2-D causal digital filters using the residue theorem

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1 Author(s)
Woods, J.W. ; Rensselaer Polytechnic Institute, Troy, NY

In this correspondence stability of the 2-D causal digital filter is proven directly in terms of its inverse Z-transform. As a by-product one gets exponential bounds on the rate of convergence to zero of the filters impulse response. Using known transformations, these results may be extended to general 2-D recursive digital filters.

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Acoustics, Speech and Signal Processing, IEEE Transactions on  (Volume:31 ,  Issue: 3 )