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Exponential F series?
express periodic impulse delta T = sigma of (delta (t-nT) for n from - to + infinity in terms of exponential Fourier series Cn using exponential Fourier series.
1 Answer
- shimrodLv 41 decade agoFavorite Answer
Straightforward. Set:
Sum_n delta(t - nT) = Sum_k=-oo^+oo C_k exp(i 2 pi k t/T)
Multiply both sides by exp(-i 2 pi m t/T) and integrate from -T/2 to T/2 to get the coefficients C_k = 1/T -->
Sum_n delta(t - nT) = (1/T) Sum_k=-oo^+oo exp(i 2 pi k t/T)
