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Unformatted text preview: , where ( 29 ( 29 T f E f P T 1 1 Lim ∞ → = can be regarded as the power spectral density or power spectrum. Again, this is in the sense that ( 29 ∫ 2 1 1 f f df f P = Power of ( 29 t x 1 from 1 f to 2 f Hz, and integrating the power spectrum over all frequencies gives the total power. Obviously, the power spectrum ( 29 ( 29 T f E f P T 1 1 Lim ∞ → = is proportional to the energy spectrum ( 29 f E 1 and both are proportional to the square of the magnitude spectrum ( 29 2 1 f X . In most applications, it is the shape of the spectrum that is important, and from this point of view, there is really very little difference between the energy and power spectra. Both will have the same shape except for a scaling factor....
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This note was uploaded on 08/02/2009 for the course ECE EE2009 taught by Professor Prof.c.c.ko during the Fall '07 term at National University of Singapore.
- Fall '07