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Synthesis of basic elements of multidimensional multirate systems Part. 1. Nonseparable decimation matrices
Authors:M. K. Tchobanou
Affiliation:1. Moscow Power Engineering Institute (Technical University), ul. Krasnokazarmennaya 14, Moscow, 111250, Russia
Abstract:A synthesis method is developed for multidimensional decimation matrices of given dimension for a specified number of channels which are used in multidimensional multirate systems. The method is based on application of eigenvalues and Gröbner bases techniques. A full parametrization of decimation matrices is effected for two-and three-dimensional cases. Peculiarities of a four-dimensional case are considered.
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