Asymptotic Error Probability of Binary Hypothesis Testing for Poisson Point-Process Observations

Sergio Verdú

doi:10.1109/TIT.1986.1057126

Asymptotic Error Probability of Binary Hypothesis Testing for Poisson Point-Process Observations

Sergio Verdú

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

It is shown that the asymptotic probability of error of a binary equiprobable hypothesis test for observed Poisson point processes with rates [formula omited] is equal to the error probability of optimum deterministic-signal detection in additive white Gaussian noise when the signals coincide with the square roots of the point-process rates. The implication of this result in the error rate analysis of optical digital communication systems is discussed.

Original language	English (US)
Pages (from-to)	113-115
Number of pages	3
Journal	IEEE Transactions on Information Theory
Volume	32
Issue number	1
DOIs	https://doi.org/10.1109/TIT.1986.1057126
State	Published - Jan 1986

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/TIT.1986.1057126

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abstract = "It is shown that the asymptotic probability of error of a binary equiprobable hypothesis test for observed Poisson point processes with rates [formula omited] is equal to the error probability of optimum deterministic-signal detection in additive white Gaussian noise when the signals coincide with the square roots of the point-process rates. The implication of this result in the error rate analysis of optical digital communication systems is discussed.",

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AB - It is shown that the asymptotic probability of error of a binary equiprobable hypothesis test for observed Poisson point processes with rates [formula omited] is equal to the error probability of optimum deterministic-signal detection in additive white Gaussian noise when the signals coincide with the square roots of the point-process rates. The implication of this result in the error rate analysis of optical digital communication systems is discussed.

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Asymptotic Error Probability of Binary Hypothesis Testing for Poisson Point-Process Observations

Abstract

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