On the Contraction Mapping Method for Frequency Detection

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dc.contributor.authorKedem, Benjaminen_US
dc.contributor.authorYakowitz, S.en_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:50:37Z
dc.date.available2007-05-23T09:50:37Z
dc.date.issued1992en_US
dc.description.abstractThe contraction mapping method for frequency estimation in the presence of noise, identifies the cosine of the frequency to be detected as a fixed point of a certain correlation mapping. At its hear, the method provides a plan for automatic self tuning of parametric filters. A variant of the method, called the HK algorithm, produces recursive zero-crossing rates (normalized HOC sequences) that converge to the frequency of interest. A statistical explanation for the contraction mapping method as epitomized by the HK algorithm is provided when the HOC sequences are produced by bandpass filters. The outright consistency of the zero-crossing rate is not required. Examples show that the method performs quite remarkably.en_US
dc.format.extent898061 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/5227
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1992-45en_US
dc.subjectdetectionen_US
dc.subjectestimationen_US
dc.subjectfilteringen_US
dc.subjectsignal processingen_US
dc.subjectspectral analysisen_US
dc.subjectCommunication en_US
dc.subjectSignal Processing Systemsen_US
dc.titleOn the Contraction Mapping Method for Frequency Detectionen_US
dc.typeTechnical Reporten_US

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