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== Obtain the System Function <math>F(z)\,</math> of the System == | == Obtain the System Function <math>F(z)\,</math> of the System == | ||
| − | <math>F(z) = \sum^{\infty}_{m=-\infty} h[m]e^{ | + | <math>F(z) = \sum^{\infty}_{m=-\infty} h[m]e^{jm\omega} \,</math> |
Revision as of 11:23, 25 September 2008
Define a DT LTI system
$ y[n] = x[n+1] + x[n]\, $
Obtain the Unit Impulse Response h[n]
By definition, to obtain the unit impulse response from a system defined by $ y[n] = x[n]\, $, simply replace the $ x[n]\, $ by $ \delta[n]\, $.
$ h[n] = \delta[n+1] + \delta[n]\, $
Obtain the System Function $ F(z)\, $ of the System
$ F(z) = \sum^{\infty}_{m=-\infty} h[m]e^{jm\omega} \, $
