Some Properties of the Log-Likelihood Ratio

Chung chieh Lee*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The detection of a deterministic signal in additive noise is considered. The log-likelihood ratio is studied for three cases: stationary white noise process, stationary Markov noise process, and noise process with independent increments. Procedures leading to realizable optimum detection schemes and related examples are given. An approximation to the log-likelihood ratio, which leads to the locally optimum detector, is also presented for the white noise case.

Original languageEnglish (US)
Pages (from-to)273-285
Number of pages13
JournalJournal of the Franklin Institute
Issue number5
StatePublished - May 1982

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics


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