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PARSEVAL’S THEOREM

Think of f(t) as a voltage applied to a one Ohm resistor

By definition, the left hand side is the energy of the signal

Intuitively, if the Fourier transform has a large magnitude over a frequency range

then the signal has significant energy over that range

And if the magnitude of the Fourier transform is zero (or very small) then the

signal has no significant energy in that range

Parseval’s theorem permits the determination of the energy of a signal in a

given frequency range