Detectors for Multinomial Input

C. C. Lee; J. B. Thomas

doi:10.1109/TAES.1983.309448

Detectors for Multinomial Input

C. C. Lee, J. B. Thomas

Electrical and Computer Engineering

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

8 Scopus citations

Abstract

The binary detection problem is considered. Under an arbitrary noise environment, the input sample space can be transformed into a multinomial vector. Based on observations of this vector, the Ney-man-Pearson optimal detector is developed for a known signal. When the signal strength is unknown, the likelihood ratio principle is followed to obtain consistent tests which use the Pearson's chi-square statistic. The resulting detectors are compared to others in terms of asymptotic relative efficiency under some actual noise distributions.

Original language	English (US)
Pages (from-to)	288-297
Number of pages	10
Journal	IEEE Transactions on Aerospace and Electronic Systems
Volume	AES-19
Issue number	2
DOIs	https://doi.org/10.1109/TAES.1983.309448
State	Published - Mar 1983

ASJC Scopus subject areas

Aerospace Engineering
Electrical and Electronic Engineering

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10.1109/TAES.1983.309448

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abstract = "The binary detection problem is considered. Under an arbitrary noise environment, the input sample space can be transformed into a multinomial vector. Based on observations of this vector, the Ney-man-Pearson optimal detector is developed for a known signal. When the signal strength is unknown, the likelihood ratio principle is followed to obtain consistent tests which use the Pearson's chi-square statistic. The resulting detectors are compared to others in terms of asymptotic relative efficiency under some actual noise distributions.",

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year = "1983",

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AB - The binary detection problem is considered. Under an arbitrary noise environment, the input sample space can be transformed into a multinomial vector. Based on observations of this vector, the Ney-man-Pearson optimal detector is developed for a known signal. When the signal strength is unknown, the likelihood ratio principle is followed to obtain consistent tests which use the Pearson's chi-square statistic. The resulting detectors are compared to others in terms of asymptotic relative efficiency under some actual noise distributions.

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Detectors for Multinomial Input

Abstract

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