The Relationship Between the Representation of a IIR Digital Filter in the State Space and the Description by the Topological Matrix

Vladislav A. Lesnikov, Tatiana V. Naumovich, Alexander V. Chastikov · 2019

When analyzing and synthesizing digital filters with different structures, their representation in the state space is most often used. But this is not the only way to describe the filter. A digital filter with an arbitrary structure is most adequately described by a topological matrix, the elements of which are transfer coefficients between nodes of a block diagram. This paper allows us to expand the capabilities of the mathematical model of a digital filter in the form of a topological matrix.

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