Rayleigh Energy Theorem (Parseval's Theorem)
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Rayleigh Energy Theorem (Parseval's Theorem)
Theorem:
For any
,
I.e.,
Proof: This is a special case of the power theorem. It, too, is often
referred to as Parseval's theorem (being a special case).
Note that again the relationship would be cleaner (
)
if we were using the normalized DFT.
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