Detector randomization and stochastic signaling for minimum probability of error receivers
Author
Dulek, B.
Gezici, Sinan
Date
2012Source Title
IEEE Transactions on Communications
Print ISSN
0090-6778
Publisher
Institute of Electrical and Electronics Engineers
Volume
60
Issue
4
Pages
923 - 928
Language
English
Type
ArticleItem Usage Stats
143
views
views
102
downloads
downloads
Abstract
Optimal receiver design is studied for a communications system in which both detector randomization and stochastic signaling can be performed. First, it is proven that stochastic signaling without detector randomization cannot achieve a smaller average probability of error than detector randomization with deterministic signaling for the same average power constraint and noise statistics. Then, it is shown that the optimal receiver design results in a randomization between at most two maximum a-posteriori probability (MAP) detectors corresponding to two deterministic signal vectors. Numerical examples are provided to explain the results.
Keywords
Detector randomizationProbability of error
Stochastic signaling
Average power
Average probability of error
Communications systems
Deterministic signals
Maximum a posteriori probability
Minimum probability of error
Noise statistics
Numerical example
Optimal receiver
Probability of errors
Optimization
Signaling
Stochastic systems
Detectors
Permalink
http://hdl.handle.net/11693/21511Published Version (Please cite this version)
http://dx.doi.org/10.1109/TCOMM.2012.020912.110045Collections
Related items
Showing items related by title, author, creator and subject.
-
Optimal detector randomization in cognitive radio systems in the presence of imperfect sensing decisions
Sezer, A. D.; Gezici, Sinan; Gursoy, M. C. (2014)In this study, optimal detector randomization is developed for secondary users in a cognitive radio system in the presence of imperfect spectrum sensing decisions. It is shown that the minimum average probability of error ... -
Error rate analysis of cognitive radio transmissions with imperfect channel sensing
Ozcan G.; Gursoy, M. C.; Gezici, Sinan (IEEE, 2013)In this paper, error rate performance of cognitive radio transmissions is studied in the presence of imperfect channel sensing decisions. It is assumed that cognitive users first perform channel sensing, albeit with possible ... -
Stochastic signaling under second and fourth moment constraints
Göken, Çağrı; Gezici, Sinan; Arıkan, Orhan (IEEE, 2010)Stochastic signaling is investigated under second and fourth moment constraints for the detection of scalar-valued binary signals in additive noise channels. Sufficient conditions are derived to determine when the use of ...