An Asymptotic Relative Performance Measure for Signal Detectors Based on the Correlation Information of Statistics

Jinsoo BAE
Iickho SONG
Hyun JOO

Publication
IEICE TRANSACTIONS on Communications   Vol.E88-B    No.12    pp.4643-4646
Publication Date: 2005/12/01
Online ISSN: 
DOI: 10.1093/ietcom/e88-b.12.4643
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Fundamental Theories for Communications
Keyword: 
asymptotic performance,  signal detector,  correlation coefficient,  sign statistic,  

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Summary: 
Signal detectors generally utilize nonlinear statistics of an original observation rather than the original observation as it is. The sign statistic, a typical example of the nonlinear statistics, is the sign information of an observation and the sign detector relies only on the sign statistic. Since either detector might be of a better performance depending on the situation, it is quite important to determine which is the best performer among the detectors, based on the given situational information about noise and signal strength. In this letter, a qualitative analysis is presented that the correlation coefficients between the statistics and original observation can be used to predict the asymptotic performance of a detector utilizing one of the statistics, relative to the other detectors.