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== A Periodic DT Signal == | == A Periodic DT Signal == | ||
| + | <br> | ||
| − | <math> | + | <math> x[n] = 1 + sin({2\pi \over N})n + 5cos({2\pi \over N})n + 7sin({4\pi \over N}n - {\pi \over 2})</math><br><br> |
| − | + | The signal above x[n] is periodic with period N. | |
<br><br> | <br><br> | ||
| − | <math> x[n] = 1 + | + | |
| + | <math> x[n] = 1 + {1 \over 2j}[e^{j({2\pi \over N})n}-e^{-j({2\pi \over N})n}] | ||
Revision as of 14:50, 26 September 2008
A Periodic DT Signal
$ x[n] = 1 + sin({2\pi \over N})n + 5cos({2\pi \over N})n + 7sin({4\pi \over N}n - {\pi \over 2}) $
The signal above x[n] is periodic with period N.
$ x[n] = 1 + {1 \over 2j}[e^{j({2\pi \over N})n}-e^{-j({2\pi \over N})n}] $
