On the WMC density as an inverse Gaussian probability density

Author

Baker, Kennet R.

Author_Institution

Qualcomm Inc., Boulder, CO, USA

Volume

44

Issue

1

fYear

1996

fDate

1/1/1996 12:00:00 AM

Firstpage

15

Lastpage

17

Abstract

The probability density function (PDF) used to model the statistical behavior of avalanche photodiodes (APD), known as the Webb, McIntyre and Conradi (1974) WMC density, is shown to be an inverse Gaussian density. As a consequence, a closed-form solution for the cumulative distribution function exists. A closed-form for the cumulative distribution of the WMC PDF has not been presented in the literature before. With this result, alternate methods for the generation of WMC PDF distributed random variates are now available. These methods are reviewed and discussed

Keywords

Gaussian distribution; Gaussian processes; avalanche photodiodes; inverse problems; APD; WMC density; avalanche photodiodes; closed-form solution; cumulative distribution function; inverse Gaussian probability density; probability density function; random variates; statistical behavior; Closed-form solution; Detectors; Diodes; Distribution functions; Electrons; Error analysis; Gaussian processes; Optical receivers; Probability density function; Statistics;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.476089

Filename

476089