Concise Papers Estimation of Bit Probability of Error Using Sync Word Error Rate Data

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Abstract

Assuming bit errors are independently distributed with a constant probability of error pe, it is shown that a simple estimator is highly efficient for estimation of pe- The estimator is based on a simple function of the number of sync words containing no bit errors. The estimator is shown to be maximum likelihood, minimum chi-square, and modified minimum chi-square when the quality index reported is simply the percent of frames containing zero errors. An approximate confidence interval for p] is obtained, and a determination of the number of sync words to observe in order to obtain an approximate confidence interval of fixed length is indicated. The method of scoring which can be used to obtain a more efficient estimator of pe is described.

Original languageEnglish (US)
Pages (from-to)811-814
Number of pages4
JournalIEEE Transactions on Communication Technology
Volume18
Issue number6
DOIs
StatePublished - 1970

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Maximum likelihood

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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title = "Concise Papers Estimation of Bit Probability of Error Using Sync Word Error Rate Data",
abstract = "Assuming bit errors are independently distributed with a constant probability of error pe, it is shown that a simple estimator is highly efficient for estimation of pe- The estimator is based on a simple function of the number of sync words containing no bit errors. The estimator is shown to be maximum likelihood, minimum chi-square, and modified minimum chi-square when the quality index reported is simply the percent of frames containing zero errors. An approximate confidence interval for p] is obtained, and a determination of the number of sync words to observe in order to obtain an approximate confidence interval of fixed length is indicated. The method of scoring which can be used to obtain a more efficient estimator of pe is described.",
author = "Rohde, {Charles A}",
year = "1970",
doi = "10.1109/TCOM.1970.1090432",
language = "English (US)",
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pages = "811--814",
journal = "IEEE Transactions on Communication Technology",
issn = "0018-9332",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
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AB - Assuming bit errors are independently distributed with a constant probability of error pe, it is shown that a simple estimator is highly efficient for estimation of pe- The estimator is based on a simple function of the number of sync words containing no bit errors. The estimator is shown to be maximum likelihood, minimum chi-square, and modified minimum chi-square when the quality index reported is simply the percent of frames containing zero errors. An approximate confidence interval for p] is obtained, and a determination of the number of sync words to observe in order to obtain an approximate confidence interval of fixed length is indicated. The method of scoring which can be used to obtain a more efficient estimator of pe is described.

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