### 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 language | English (US) |
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Pages (from-to) | 811-814 |

Number of pages | 4 |

Journal | IEEE Transactions on Communication Technology |

Volume | 18 |

Issue number | 6 |

DOIs | |

State | Published - 1970 |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

**Concise Papers Estimation of Bit Probability of Error Using Sync Word Error Rate Data.** / Rohde, Charles A.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Concise Papers Estimation of Bit Probability of Error Using Sync Word Error Rate Data

AU - Rohde, Charles A

PY - 1970

Y1 - 1970

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84937349009&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84937349009&partnerID=8YFLogxK

U2 - 10.1109/TCOM.1970.1090432

DO - 10.1109/TCOM.1970.1090432

M3 - Article

AN - SCOPUS:84937349009

VL - 18

SP - 811

EP - 814

JO - IEEE Transactions on Communication Technology

JF - IEEE Transactions on Communication Technology

SN - 0018-9332

IS - 6

ER -