Maximum likelihood detection of PPM signals governed by arbitrary point-process plus additive Gaussian noise

Author

Vilnrotter, V. ; Simon, M. ; Srinivasan, M.

Author_Institution

Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA

Volume

35

Issue

14

fYear

1999

fDate

7/8/1999 12:00:00 AM

Firstpage

1132

Lastpage

1133

Abstract

The maximum likelihood decision statistic for pulse-position modulated (PPM) signals governed by an arbitrary discrete point process in the presence of additive Gaussian noise is derived. Sufficient conditions are given for determining when the optimum PPM symbol detection strategy is to choose the PPM symbol corresponding to the maximum slot statistic. In particular, it is shown that for the important case of Webb distributed avalanche photodiode output electrons in the presence of Gaussian noise, the optimum decision rule is to choose the largest slot observable

Keywords

Gaussian noise; avalanche photodiodes; decision theory; maximum likelihood detection; optical modulation; optical receivers; pulse position modulation; PPM signals; Webb distributed avalanche photodiode output electrons; additive Gaussian noise; arbitrary discrete point process; decision statistic; maximum likelihood detection; maximum slot statistic; optimum decision rule; pulse-position modulated signals; symbol detection;

fLanguage

English

Journal_Title

Electronics Letters

Publisher

iet

ISSN

0013-5194

Type

jour

DOI

10.1049/el:19990772

Filename

788922