DocumentCode
1111422
Title
A note on argument principle
Author
Rusu, Corneliu ; Astola, Jaakko
Author_Institution
Tampere Int. Center for Signal Process., Tampere Univ. of Technol., Finland
Volume
11
Issue
10
fYear
2004
Firstpage
817
Lastpage
820
Abstract
The goal of this work is to show how the argument principle together with discrete Fourier transform (DFT) can be used to determine some properties of finite-length complex-valued sequences, precisely the localization of zeros with respect to unit circle of their related Z-transform. An upper bound of the DFT (in one step) length to exactly calculate the increase of the argument is also provided.
Keywords
discrete Fourier transforms; signal reconstruction; DFT; argument principle; discrete Fourier transform; finite-length complex-valued sequence; minimum-phase functions; signal reconstruction; winding number; Differential equations; Discrete Fourier transforms; Fourier transforms; Helium; Poles and zeros; Signal processing; Signal reconstruction; Stability analysis; Stability criteria; Upper bound; Argument principle; minimum-phase functions; number of zeros; signal reconstruction; winding number;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2004.835459
Filename
1336834
Link To Document