Computing Bit-Error Probabilities for Avalanche Photodiode Receivers by Large Deviations Theory

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24 Citations (Scopus)

Abstract

A bit error probability analysis of direct detection optical receivers employing avalanche photodiodes is presented. An asymptotic analysis for large signal intensities is first presented. This analysis provides some useful insight into the balance between the Poisson statistics, the avalanche gain statistics, and the Gaussian thermal noise. The conjugate distribution is then developed, which is obtained by applying the large deviations exponential twisting formula. It is demonstrated that this conjugate distribution can be used to obtain numerically efficient Monte Carlo estimates of the biterror probability via the importance sampling method.

Original languageEnglish
Pages (from-to)1162-1169
Number of pages8
JournalIEEE Transactions on Information Theory
Volume38
Issue number3
DOIs
Publication statusPublished - 1992
Externally publishedYes

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Avalanche photodiodes
recipient
Statistics
Optical receivers
Importance sampling
Thermal noise
Asymptotic analysis
statistics
Error probability

ASJC Scopus subject areas

  • Computer Science Applications
  • Information Systems
  • Library and Information Sciences
  • Electrical and Electronic Engineering

Cite this

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abstract = "A bit error probability analysis of direct detection optical receivers employing avalanche photodiodes is presented. An asymptotic analysis for large signal intensities is first presented. This analysis provides some useful insight into the balance between the Poisson statistics, the avalanche gain statistics, and the Gaussian thermal noise. The conjugate distribution is then developed, which is obtained by applying the large deviations exponential twisting formula. It is demonstrated that this conjugate distribution can be used to obtain numerically efficient Monte Carlo estimates of the biterror probability via the importance sampling method.",
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AB - A bit error probability analysis of direct detection optical receivers employing avalanche photodiodes is presented. An asymptotic analysis for large signal intensities is first presented. This analysis provides some useful insight into the balance between the Poisson statistics, the avalanche gain statistics, and the Gaussian thermal noise. The conjugate distribution is then developed, which is obtained by applying the large deviations exponential twisting formula. It is demonstrated that this conjugate distribution can be used to obtain numerically efficient Monte Carlo estimates of the biterror probability via the importance sampling method.

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