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

Sithamparanathan Kandeepan; Sam Reisenfeld

doi:10.1109/ISIT.2005.1523583

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 proceeding › Conference proceeding contribution › peer-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 language	English
Title of host publication	Proceedings of the 2005 IEEE international symposium on information theory, ISIT 05
Editors	Thushara Abhayapala, Leif Hanlen
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1451-1454
Number of pages	4
ISBN (Print)	0780391519, 9780780391512
DOIs	https://doi.org/10.1109/ISIT.2005.1523583
Publication status	Published - Sept 2005
Externally published	Yes
Event	2005 IEEE International Symposium on Information Theory, ISIT 05 - Adelaide, Australia Duration: 4 Sept 2005 → 9 Sept 2005

Other

Other	2005 IEEE International Symposium on Information Theory, ISIT 05
Country/Territory	Australia
City	Adelaide
Period	4/09/05 → 9/09/05

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10.1109/ISIT.2005.1523583

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Kandeepan, S., & Reisenfeld, S. (2005). Analysis of a discrete complex sinusoid frequency estimator based on single-delay multiplication method. In T. Abhayapala, & L. Hanlen (Eds.), Proceedings of the 2005 IEEE international symposium on information theory, ISIT 05 (pp. 1451-1454). Article 1523583 Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ISIT.2005.1523583

Kandeepan, Sithamparanathan ; Reisenfeld, Sam. / Analysis of a discrete complex sinusoid frequency estimator based on single-delay multiplication method. Proceedings of the 2005 IEEE international symposium on information theory, ISIT 05. editor / Thushara Abhayapala ; Leif Hanlen. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2005. pp. 1451-1454

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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.",

author = "Sithamparanathan Kandeepan and Sam Reisenfeld",

year = "2005",

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doi = "10.1109/ISIT.2005.1523583",

language = "English",

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booktitle = "Proceedings of the 2005 IEEE international symposium on information theory, ISIT 05",

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Kandeepan, S & Reisenfeld, S 2005, Analysis of a discrete complex sinusoid frequency estimator based on single-delay multiplication method. in T Abhayapala & L Hanlen (eds), Proceedings of the 2005 IEEE international symposium on information theory, ISIT 05., 1523583, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 1451-1454, 2005 IEEE International Symposium on Information Theory, ISIT 05, Adelaide, Australia, 4/09/05. https://doi.org/10.1109/ISIT.2005.1523583

Analysis of a discrete complex sinusoid frequency estimator based on single-delay multiplication method. / Kandeepan, Sithamparanathan; Reisenfeld, Sam.
Proceedings of the 2005 IEEE international symposium on information theory, ISIT 05. ed. / Thushara Abhayapala; Leif Hanlen. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2005. p. 1451-1454 1523583.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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AB - 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.

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Kandeepan S, Reisenfeld S. Analysis of a discrete complex sinusoid frequency estimator based on single-delay multiplication method. In Abhayapala T, Hanlen L, editors, Proceedings of the 2005 IEEE international symposium on information theory, ISIT 05. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2005. p. 1451-1454. 1523583 doi: 10.1109/ISIT.2005.1523583

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

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