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)|
|Number of pages||10|
|Journal||IEEE Transactions on Aerospace and Electronic Systems|
|State||Published - Mar 1983|
ASJC Scopus subject areas
- Aerospace Engineering
- Electrical and Electronic Engineering