DocumentCode
1083082
Title
Eigenvalue and eigenvector decomposition of the discrete Fourier transform
Author
McClellan, James H. ; Parks, Thomas W.
Author_Institution
Rice University, Houston, TX
Volume
20
Issue
1
fYear
1972
fDate
3/1/1972 12:00:00 AM
Firstpage
66
Lastpage
74
Abstract
The principal results of this paper are listed as follows. 1) The eigenvalues of a suitably normalized version of the discrete Fourier transform (DFT) are 
. 2) An eigenvector basis is constructed for the DFT. 3) The multiplicities of the eigenvalues are summarized for an N×N transform as follows.
. 2) An eigenvector basis is constructed for the DFT. 3) The multiplicities of the eigenvalues are summarized for an N×N transform as follows.Keywords
Ambient intelligence; Discrete Fourier transforms; Eigenvalues and eigenfunctions; Equations; Fourier transforms; Karhunen-Loeve transforms; Magnetic flux leakage; Matrix decomposition; Symmetric matrices;
fLanguage
English
Journal_Title
Audio and Electroacoustics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9278
Type
jour
DOI
10.1109/TAU.1972.1162342
Filename
1162342
Link To Document