DocumentCode :
1171133
Title :
Digital filtering and prolate functions
Author :
Papoulis, Athanasios ; Bertran, Miguel S.
Volume :
19
Issue :
6
fYear :
1972
fDate :
11/1/1972 12:00:00 AM
Firstpage :
674
Lastpage :
681
Abstract :
A class of trigonometric polynomials 
of unit energy is introduced such that their energy concentration 
in a specified interval 
is maximum. It is shown that the coefficients 
must be the eigenvectors of the system 
. corresponding to the maximum eigenvalue X. These polynomials are determined for 
and 
. The resulting family of periodic functions forms the discrete version of the familiar prolate spheroidal wave functions.
of unit energy is introduced such that their energy concentration in a specified interval is maximum. It is shown that the coefficients must be the eigenvectors of the system . corresponding to the maximum eigenvalue X. These polynomials are determined for and . The resulting family of periodic functions forms the discrete version of the familiar prolate spheroidal wave functions.Keywords :
Digital networks; Nonrecursive digital filters; Optimization techniques; Polynomials; Prolate functions; Trigonometric polynomials; Continuous time systems; Delay; Difference equations; Digital filters; Eigenvalues and eigenfunctions; Feedback; Filtering; Polynomials; Transfer functions; Wave functions;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1972.1083556
Filename :
1083556
Link To Document :
