Paper Info
Title
Robust detection of a known signal in nearly Gaussian noise
Abstract
A detector that is not nonparametric, but that nevertheless performs well over a broad class of noise distributions is termed a robust detector. One possible way to obtain a certain degree of robustness or stability is to look for a min-max solution. For the problem of detecting a signal of known form in additive, nearly Gaussian noise, the solution to the min-max problem is obtained when the signal amplitude is known and the nearly Gaussian noise is specified by a mixture model. The solution takes the form of a correlator-limiter detector. For a constant signal, the correlator-limiter detector reduces to a limiter detector, which is shown to be robust in terms of power and false alarm. By adding a symmetry constraint to the nearly normal noise and formulating the problem as one of local detection, the limiter-correlator is obtained as the local min-max solution. The limiter-correlator is shown to be robust in terms of asymptotic relative efficiency (ARE). For a pulse train of unknown phase, a limiter-envelope sum detector is also shown to be robust in terms of ARE.
Year
DOI
Venue
1971
10.1109/TIT.1971.1054590
Information Theory, IEEE Transactions  
Keywords
Field
DocType
known signal,constant signal,robust detector,local min-max solution,min-max solution,limiter-envelope sum detector,correlator-limiter detector,noise distribution,gaussian noise,robust detection,normal noise,limiter detector,testing,correlators,detectors,limiting,signal detection,mixture model,distribution functions,phase detection
Correlation function (quantum field theory),Discrete mathematics,Mathematical optimization,False alarm,Noise floor,Algorithm,Pulse wave,Robustness (computer science),Gaussian noise,Detector,Mixture model,Mathematics
Journal
Volume
Issue
ISSN
17
1
0018-9448
Citations 
PageRank 
References 
61
42.40
0
Authors
2
Name
Order
Citations
PageRank
Martin, R.16343.99
Schwartz, S.C.27044.43