(New page: == Define a DT LTI system == <math>y[n] = x[n+1] + x[n]\,</math> == Obtain the Unit Impulse Response h[n] == By definition, to obtain the unit impulse response from a system defined by <...) |
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== Obtain the Unit Impulse Response h[n] == | == Obtain the Unit Impulse Response h[n] == | ||
By definition, to obtain the unit impulse response from a system defined by <math>y[n] = x[n]\,</math>, simply replace the <math>x[n]\,</math> by <math>\delta[n]\,</math>. | By definition, to obtain the unit impulse response from a system defined by <math>y[n] = x[n]\,</math>, simply replace the <math>x[n]\,</math> by <math>\delta[n]\,</math>. | ||
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| + | <math>h[n] = \delta[n+1] + \delta[n]\,</math> | ||
Revision as of 12:19, 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]\, $
