Monday 3 December 2007

FFTs-part4

Parseval's Theorem
A special case of Plancherel's Theorem, when function x = function y. Then the scaling constant = 1/(2*pi) [FT] or 1/N [DFT]
http://en.wikipedia.org/wiki/Parseval%27s_theorem
"The interpretation of this form of the theorem is that the total energy contained in a waveform x(t) summed across all of time t is equal to the total energy of the waveform's Fourier Transform X(f) summed across all of its frequency components f."

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