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Continued Fraction Expansions of Stable Discrete-Time Systems of Difference Equations

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We provide a systematic procedure for generating the coefficients of the continued fraction expansion of the test function associated with the characteristic polynomial of a stable system of difference equations.… Click to show full abstract

We provide a systematic procedure for generating the coefficients of the continued fraction expansion of the test function associated with the characteristic polynomial of a stable system of difference equations. We illustrate the feasibility of the procedure, and we provide an application on the stability of two-dimensional digital filters.

Keywords: stable discrete; difference equations; fraction expansions; continued fraction; expansions stable

Journal Title: Symmetry
Year Published: 2022

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