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dc.contributor.authorDulek, B.en_US
dc.date.accessioned2016-02-08T10:58:20Z
dc.date.available2016-02-08T10:58:20Z
dc.date.issued2014en_US
dc.identifier.issn1053587X
dc.identifier.urihttp://hdl.handle.net/11693/26325
dc.description.abstractThe symbol error rate (SER) of the minimum distance detector under additive white Gaussian noise is studied in terms of generic bounds and higher order derivatives for arbitrary constellations. A general approach is adopted so that the recent results on the convexity/concavity and complete monotonicity properties of the SER can be obtained as special cases. Novel universal bounds on the SER, which depend only on the constellation dimensionality, minimum and maximum constellation distances are obtained. It is shown that the sphere hardening argument in the channel coding theorem can be derived using the proposed bounds. Sufficient conditions based on the positive real roots (with odd multiplicity) of an explicitly-specified polynomial are presented to determine the signs of the SER derivatives of all orders in signal-to-noise ratio. Furthermore, universal bounds are given for the SER derivatives of all orders. As an example, it is shown that the proposed bounds yield a better characterization of the SER for arbitrary two-dimensional constellations over the complete monotonicity property derived recently. © 2014 IEEE.en_US
dc.language.isoEnglishen_US
dc.source.titleIEEE Transactions on Signal Processingen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TSP.2013.2296273en_US
dc.subjectCompletely monotoneen_US
dc.subjectGaussian noiseen_US
dc.subjecthigher order derivativesen_US
dc.subjectmaximum likelihood detectionen_US
dc.subjectsymbol error rate (SER)en_US
dc.subjectuniversal boundsen_US
dc.titleUniversal bounds on the derivatives of the symbol error rate for arbitrary constellationsen_US
dc.typeArticleen_US
dc.departmentDepartment of Electrical and Electronics Engineering
dc.citation.spage1070en_US
dc.citation.epage1077en_US
dc.citation.volumeNumber62en_US
dc.citation.issueNumber5en_US
dc.identifier.doi10.1109/TSP.2013.2296273en_US


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