Title :
A note on argument principle
Author :
Rusu, Corneliu ; Astola, Jaakko
Author_Institution :
Tampere Int. Center for Signal Process., Tampere Univ. of Technol., Finland
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;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2004.835459
