Title :
On Symmetric Alpha-Stable Noise After Short-Time Fourier Transformation
Author :
Socheleau, Francois-Xavier ; Pastor, Dominique ; Duret, Max
Author_Institution :
Lab.-STICC, ENSTA Bretagne, Brest, France
Abstract :
Statistical properties of real-valued symmetric -stable noise after short-time Fourier transformation are derived. Circularity, stationarity and dependence between the real and imaginary components are studied as a function of the STFT parameters and the stability index .
Keywords :
Fourier transforms; acoustic signal processing; statistical analysis; STFT parameters; imaginary components; real-valued symmetric α-stable noise; short-time Fourier transformation; stability index α; statistical properties; symmetric alpha-stable noise; Fourier transforms; Indexes; Noise; Random variables; Stability criteria; Alpha-stable; heavy-tailed distributions; short- time Fourier transform;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2013.2251332
