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Determine which of the 3 relations between the RMS of a real signal f(x) and its discrete Fourier Transform are TRUE given the information provided.

Determine which of the 3 relations between the RMS of a real signal f(x) and its discrete Fourier Transform are TRUE given the information provided.

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For a continuous time fourier transform, Parseval's theorem is For a discrete time signal with n points, Parseval's theorem is - Elf (w ) 12 = Elf ( 2) 12. K=0 k=0 n-1 RMS(f) = Elf( w)I k=0 n-1 (RMS(f) ) 2 2 Elf ( w) 12 K=0 n-1 ( R MS ( f ) ) = = [(f ( w) ) ? k=0

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