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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).
 
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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=== Example ===

Revision as of 10:17, 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:

$ 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

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett