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Lecture 1: Natural & Forced Response

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Schedule :: Intro :: Signal Models for Discrete-Time :: Signal Operations :: Difference Equations :: Zero-Input :: Zero-State :: Natural & Forced :: System Stability

The total solution may be divided into a natural and forced response, just like we did before. The natural response is those components of the total response which have the natural modes of the system. The forced response is everything else (which must necessarily come from the forcing function).

For the last example,

\begin{displaymath}y[k] = .644(-.2)^k + 6.61(.8)^k -1.26(.25)^k \end{displaymath}
Copyright 2008, by the Contributing Authors. Cite/attribute Resource . admin. (2006, May 16). Lecture 1: Natural & Forced Response. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Electrical_and_Computer_Engineering/Signals_and_Systems/1_6node6.html. This work is licensed under a Creative Commons License Creative Commons License