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3. for the given value of k, <math>e^{jk2\pi} = 1\,</math>, then that <math>a_{k} = \frac{1}{2}\,</math> | 3. for the given value of k, <math>e^{jk2\pi} = 1\,</math>, then that <math>a_{k} = \frac{1}{2}\,</math> | ||
+ | |||
+ | 4. All other <math>a_{k} = 0\,</math> | ||
Revision as of 15:18, 26 September 2008
DT Signal:
1. Signal is periodic with N = 4
2. $ \sum_{k = 0}^{3}x[n] = (2 + j) $
3. for the given value of k, $ e^{jk2\pi} = 1\, $, then that $ a_{k} = \frac{1}{2}\, $
4. All other $ a_{k} = 0\, $
Solution
$ a_{0} = \frac{2 + j}{4} $