Next  |  Prev  |  Up  |  Top  |  Index  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search


Power Spectral Density

The Fourier transform of the autocorrelation function $ r_x(l)$ is called the power spectral density (PSD), or power spectrum, and may be denoted

$\displaystyle S_x(\omega) \isdef \hbox{\sc DTFT}_\omega(r_x).
$

When the signal $ x$ is real, its PSD is real and even, like its autocorrelation function.


Next  |  Prev  |  Up  |  Top  |  Index  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

[How to cite this work]  [Order a printed hardcopy]  [Comment on this page via email]
[Watch the Video]  [Work some Exercises]  [Examination]  
``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
Copyright © 2015-02-01 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA