DocumentCode :
1308180
Title :
Robust detection with the gap metric
Author :
He, Chuang ; Moura, José M F
Author_Institution :
Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA
Volume :
45
Issue :
6
fYear :
1997
fDate :
6/1/1997 12:00:00 AM
Firstpage :
1591
Lastpage :
1604
Abstract :
In a multipath communication channel, the optimal receiver is matched to the maximum likelihood (ML) estimate of the multipath signal. In general, this leads to a computationally intensive multidimensional nonlinear optimization problem that is not feasible in most applications. We develop a detection algorithm that avoids finding the ML estimates of the channel parameters while still achieving good performance. Our approach is based on a geometric interpretation of the multipath detection problem. The ML estimate of the multipath signal is the orthogonal projection of the received signal on a suitable signal subspace S. We design a second subspace G, which is the representation subspace, that is close to S but whose orthogonal projection is easily computed. The closeness is measured by the gap metric. The subspace G is designed by using wavelet analysis tools coupled with a reshaping algorithm in the Zak transform domain. We show examples where our approach significantly outperforms the conventional correlator receiver (CR) and other alternative suboptimal detectors
Keywords :
multipath channels; parameter estimation; receivers; signal representation; signal resolution; wavelet transforms; ML estimates; Zak transform domain; channel parameters; correlator receiver; detection algorithm; gap metric; geometric interpretation; maximum likelihood estimate; multidimensional nonlinear optimization problem; multipath communication channel; multipath detection problem; multipath signal; optimal receiver; orthogonal projection; performance; received signal; representation subspace; reshaping algorithm; robust detection; signal subspace; suboptimal detectors; wavelet analysis tools; Algorithm design and analysis; Communication channels; Detection algorithms; Maximum likelihood detection; Maximum likelihood estimation; Multidimensional systems; Robustness; Signal design; Wavelet analysis; Wavelet domain;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.600001
Filename :
600001
Link To Document :
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