Friday, February 19, 2010

Parseval’s Theorem

Parserval’s theorem states that the average power in a periodic signal is equal to the sum of the average power in its DC component and the average powers in its harmonics.

For sinusoidal (cosine or sine) signal,





For simplicity, we often assume R = 1Ω, which yields




For sinusoidal (cosine or sine) signal,

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