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<center><math>y[n] + a_{0}y[n-n_{0}] + a_{1}y[n-n_{1}] + ... + a_{n-1}y[n-n_{n-1}] = x[n]\!</math></center> | <center><math>y[n] + a_{0}y[n-n_{0}] + a_{1}y[n-n_{1}] + ... + a_{n-1}y[n-n_{n-1}] = x[n]\!</math></center> | ||
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| + | == 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 = | ||
Revision as of 10:16, 23 October 2008
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:
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).
