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==Fourier Series Coefficients== | ==Fourier Series Coefficients== | ||
− | <math>a_{k} = \frac{1}{N} \sum_{n=0}^{N-1} x[n] e^{- | + | <math>a_{k} = \frac{1}{N} \sum_{n=0}^{N-1} x[n] e^{-jk \frac{2 \pi}{N} n}</math> |
Revision as of 16:25, 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} $