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An approximate representation of heavy-tailed noise: Bi-parameter Cauchy-Gaussian mixture model

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3 Author(s)
Li, Xutao ; Sch. of Electron. & Inf. Eng., South China Univ. of Technol. ; Zetao Chen ; Shouyong Wang

As a non-Gaussian statistic model, alpha stable distribution has gained much attention due to its generality to represent heavy-tailed and impulsive interference. Unfortunately, there is no closed form expression for the probability density function of alpha-stable distributions. Hereby, finding the approximate expressions is of importance for signal detection and denoising. In this paper, we present a novel approximate expression, which is a simplified version of Cauchy-Gaussian mixture (CGM) for symmetric alpha-stable (SalphaS) distribution, called Bi-parameter CGM (BCGM). Such a model has a complete closed-form expression, and hence is more tractable than classical GMM and CGM.

Published in:

Signal Processing, 2008. ICSP 2008. 9th International Conference on

Date of Conference:

26-29 Oct. 2008