Spectral analysis from multi-rate observations: Itakura-saito based approximation of power spectra and capon-like spectral envelopes

Ali Nasiri Amini, Mir Shahrouz Takyar, Tryphon T. Georgiou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We develop a framework for spectral analysis in the context of multi-rate sampling by a collection of sensors. Correlation of the time-domain samples gives rise to moment constraints for the power spectrum. We use a homotopy based technique to identify a power spectrum which is closest to a given "prior" in the Itakura-Saito distortion sense and is also consistent with the given moment statistics. It turns out that this power spectrum is the harmonic mean of the prior and a suitable "all-pole" spectral density. We then proceed to adapt the framework so as to obtain Capon-like spectral envelopes based on the same autocorrelation data.

Original languageEnglish (US)
Title of host publication2006 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings, SAM 2006
Pages521-525
Number of pages5
StatePublished - Dec 1 2006
Event4th IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings, SAM 2006 - Waltham, MA, United States
Duration: Jul 12 2006Jul 14 2006

Publication series

Name2006 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings, SAM 2006

Other

Other4th IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings, SAM 2006
CountryUnited States
CityWaltham, MA
Period7/12/067/14/06

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