Analysis of a discrete complex sinusoid frequency estimator based on single-delay multiplication method

Sithamparanathan Kandeepan*, Sam Reisenfeld

*Corresponding author for this work

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

Abstract

A statistical analysis of the single-delay multiplication based frequency estimator is treated here. The single-delay multiplication frequency estimator for complex single sinusoid signals is a phase averaged estimator, which is similar to the Kay's estimator. Here we provide a study on the statistical distribution of the frequency estimates made by the estimator, and verify the analytical results using simulations. It is shown that the analytical results hold true even at very low signal to noise ratio levels. In deriving the probability density function of the frequency estimates, we explore the cross product noise terms resulting due to the multiplication operation of the estimator by making valid assumptions.

Original languageEnglish
Title of host publicationProceedings of the 2005 IEEE international symposium on information theory, ISIT 05
EditorsThushara Abhayapala, Leif Hanlen
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages1451-1454
Number of pages4
ISBN (Print)0780391519, 9780780391512
DOIs
Publication statusPublished - Sep 2005
Externally publishedYes
Event2005 IEEE International Symposium on Information Theory, ISIT 05 - Adelaide, Australia
Duration: 4 Sep 20059 Sep 2005

Other

Other2005 IEEE International Symposium on Information Theory, ISIT 05
CountryAustralia
CityAdelaide
Period4/09/059/09/05

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