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Frequency Response of Discrete Dual-Rate Systems

Antonio Sala, Julian J. Salt, Jesús Sandoval

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Abstract

This paper addresses the computation of the response to a sinusoidal input of a dual-rate linear time-invariant discrete system from a lifted transfer function model. Such response will consist on a fundamental component with the same frequency as the input signal, plus another components at different frequencies induced by the lifting and inverse-lifting operations. Based on those results, a generalized Bode diagram is suggested.

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What this paper is about

This paper addresses the computation of the response to a sinusoidal input of a dual-rate linear time-invariant discrete system from a lifted transfer function model. Such response will consist on a fundamental component with the same frequency as the input signal, plus another components at different frequencies induced by the lifting and inverse-lifting operations. Based on those results, a generalized Bode diagram is suggested.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper addresses the computation of the response to a sinusoidal input of a dual-rate linear time-invariant discrete system from a lifted transfer function model. Such response will consist on a fundamental component with the same frequency as the input signal, plus another components at different frequencies induced by the lifting and inverse-lifting operations. Based on those results, a generalized Bode diagram is suggested.

Key concepts: Transfer function, Bode plot, Frequency response, Control theory (sociology), Computation, LTI system theory, Dual (grammatical number), Inverse

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