(New page: : <math> y[n] - y[n-1] = x[n]| </math> : <math> \Rightarrow H(\omega) = \frac {1}{1 - e^{-j \omega}} </math> From table in book: : <math> \begin{align} u[n] &\overset {\mathfrak{F}}{\lon...) |
(No difference)
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Revision as of 11:44, 12 December 2008
- $ y[n] - y[n-1] = x[n]| $
- $ \Rightarrow H(\omega) = \frac {1}{1 - e^{-j \omega}} $
From table in book:
- $ \begin{align} u[n] &\overset {\mathfrak{F}}{\longleftrightarrow} \frac {1}{1 - e^{-j \omega}} + \sum_{k=-\infty}^{\infty} \pi \delta (\omega - 2 \pi k) \\ 1 &\overset {\mathfrak{F}}{\longleftrightarrow} 2 \pi \sum_{l=-\infty}^{\infty} \delta (\omega - 2 \pi l) \end{align} $
