White Alpha Stable Distribution Noise with Analysis of its Pseudo-Power Spectrum

Author

Jinlong Jiang ; Daifeng Cha ; Yuncan Xue

Author_Institution

Coll. of Electron. Eng., Jiujiang Univ. Jiujiang, Jiujiang, China

fYear

2009

fDate

19-20 Dec. 2009

Firstpage

1

Lastpage

4

Abstract

A white alpha stable distribution noise (WASDN) and its pseudo-power spectrum (PPS) is exactly proposed in this paper to analyze better frequency domain characteristic of alpha stable distribution noise. By a PPS estimate method based on fast Fourier transform (FFT), we can conclude that the method can have finite variance only there is four-order moments to transformed sequence and the estimate variance can be effectively reduced if a symmetric window function is multiplied transformed sequence. Simulators show the correctness of the arithmetic.

Keywords

Fourier transforms; frequency estimation; statistical distributions; fast Fourier transform; frequency domain characteristic; pseudo-power spectrum; symmetric window function; white alpha stable distribution noise; 1f noise; Arithmetic; Distributed computing; Educational institutions; Fast Fourier transforms; Frequency domain analysis; Gaussian distribution; Gaussian noise; Information analysis; Random variables;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-4994-1

Type

conf

DOI

10.1109/ICIECS.2009.5362761

Filename

5362761