Revision as of 10:17, 23 October 2008 by Zcurosh (Talk)

Difference Equations

DT systems described by linear constant-coefficient difference equations are very important to the practice of signals and systems. They are of special importance when implementing filters. These equations are of the form:

$ y[n] + a_{0}y[n-n_{0}] + a_{1}y[n-n_{1}] + ... + a_{n-1}y[n-n_{n-1}] = x[n]\! $

Finding the Frequency Response from a Difference Equation

If we are given a system defined by a difference equation, it is possible to find the frequency response (actually it is quite simple to find the frequency response).

Example

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