Bi-parameter CGM model for approximation of a-stable PDF
نویسندگان
چکیده
Introduction: The non-Gaussian noise in the practical world can be well characterised by its impulsive nature. Typical impulsive interference may include atmospheric noise, ambient acoustic noise and lightning, switching transients, etc. Since 1993, there has been tremendous interest in the class of symmetric a-stable (SaS) distributions [1], as a generalisation of Gaussian distribution, which can model a wide range of phenomena of varying degrees of impulsivity [2]. In a detection and denoising region, optimal processing is feasible if the noise probability density function (PDF) is analytically known and tractable. Unfortunately, such an attractive model for impulsive noise has no closed forms for the probability densities except for two special cases [1]: Gaussian and Cauchy distribution. This has limited further applications of the a-stable distribution family.
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