DocumentCode :
1179406
Title :
The factorization problem for time-limited functions and trigonometric polynomials
Author :
Papoulis, Athanasios
Volume :
25
Issue :
1
fYear :
1978
fDate :
1/1/1978 12:00:00 AM
Firstpage :
41
Lastpage :
45
Abstract :
The following form of the factorization problem is considered: Given a function 
vanishing for 
, and with a nonnegative Fourier transform 
, rind a function 
with energy spectrum 
and such that 
outside the interval (0, a). A numerical method for determining is developed involving only the discrete Fourier series.
vanishing for , and with a nonnegative Fourier transform , rind a function with energy spectrum and such that outside the interval (0, a). A numerical method for determining is developed involving only the discrete Fourier series.Keywords :
Convolution; Polynomials; Signal analysis; Trigonometric functions; Circuits; Convolution; Fourier series; Fourier transforms; Image analysis; Laplace equations; Mathematics; Monitoring; Polynomials; Signal analysis;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1978.1084384
Filename :
1084384
Link To Document :
