| Line 9: | Line 9: | ||
From the plot above, N = 4: | From the plot above, N = 4: | ||
| − | <math>a_{k} = \frac{1}{4} \sum_{n=0}^{3} x[n] e^{-jk \frac{ | + | <math>a_{k} = \frac{1}{4} \sum_{n=0}^{3} x[n] e^{-jk \frac{\pi}{2} n}</math> |
Revision as of 16:30, 23 September 2008
Periodic DT Signal
The following plot shows two periods of the periodic DT signal $ x[n] $, a sawtooth:
Fourier Series Coefficients
$ a_{k} = \frac{1}{N} \sum_{n=0}^{N-1} x[n] e^{-jk \frac{2 \pi}{N} n} $
From the plot above, N = 4:
$ a_{k} = \frac{1}{4} \sum_{n=0}^{3} x[n] e^{-jk \frac{\pi}{2} n} $
