A simple sufficient criterion for the stability of multidimensional digital filters

H.C. Reddy, P.K. Rajan, M.N.S. Swamy · Proceedings of the IEEE · 1982

In this paper a theorem concerning the absence of zeros of a multivariable polynomial in the closed unit polydisc of a multidimensional complex plane is presented. Using this theorem the stability of a large class of multidimensional digital filters can be tested almost by inspection.

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