Charrelation-based estimation of the parameters of non-Gaussian autoregressive processes

Alon Slapak, Arie Yeredor

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Charrelation matrices are similar in structure (and in additional properties) to correlation matrices, and are closely related to Hessians of the log-characteristic function at selected processing-points away from the origin. Charrelation-based estimation methods were shown to offer significant improvement over second-order (correlation-based) methods when the latter are suboptimal. However, judicious selection of the processing-points is required in order to achieve such improvement. In the context of estimating the parameters of an autoregressive process, we present here a method for proper data-driven selection of the processing-points, finding the one which minimizes the predicted mean square estimation error. The resulting performance improvement over classical competing methods is demonstrated in simulation.

Original languageEnglish
Title of host publication2012 IEEE Statistical Signal Processing Workshop, SSP 2012
Pages448-451
Number of pages4
DOIs
StatePublished - 2012
Event2012 IEEE Statistical Signal Processing Workshop, SSP 2012 - Ann Arbor, MI, United States
Duration: 5 Aug 20128 Aug 2012

Publication series

Name2012 IEEE Statistical Signal Processing Workshop, SSP 2012

Conference

Conference2012 IEEE Statistical Signal Processing Workshop, SSP 2012
Country/TerritoryUnited States
CityAnn Arbor, MI
Period5/08/128/08/12

All Science Journal Classification (ASJC) codes

  • Signal Processing

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