Strong consistency of a family of model order selection rules for estimating the parameters of 2-D sinusoids in white noise

Mark Kliger; Joseph M. Francos

doi:10.1109/ICASSP.2005.1416106

Strong consistency of a family of model order selection rules for estimating the parameters of 2-D sinusoids in white noise

Mark Kliger, Joseph M. Francos

Department of Electrical & Computer Engineering

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

1 Scopus citations

Abstract

We consider the problem of jointly estimating the number as well as the parameters of two-dimensional sinusoidal signals, observed in the presence of an additive white Gaussian noise field. In this paper we prove the strong consistency of a large family of model order selection rules, which includes the MAP based rule as a special case.

Original language	English
Title of host publication	2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions
Publisher	Institute of Electrical and Electronics Engineers
Pages	705-708
Number of pages	4
ISBN (Print)	0780388747, 9780780388741
DOIs	https://doi.org/10.1109/ICASSP.2005.1416106
State	Published - 1 Jan 2005
Event	2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05 - Philadelphia, PA, United States Duration: 18 Mar 2005 → 23 Mar 2005

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	IV
ISSN (Print)	1520-6149

Conference

Conference	2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05
Country/Territory	United States
City	Philadelphia, PA
Period	18/03/05 → 23/03/05

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1109/ICASSP.2005.1416106

Cite this

Kliger, M., & Francos, J. M. (2005). Strong consistency of a family of model order selection rules for estimating the parameters of 2-D sinusoids in white noise. In 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions (pp. 705-708). Article 1416106 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. IV). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICASSP.2005.1416106

Kliger, Mark ; Francos, Joseph M. / Strong consistency of a family of model order selection rules for estimating the parameters of 2-D sinusoids in white noise. 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions. Institute of Electrical and Electronics Engineers, 2005. pp. 705-708 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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Kliger, M & Francos, JM 2005, Strong consistency of a family of model order selection rules for estimating the parameters of 2-D sinusoids in white noise. in 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions., 1416106, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. IV, Institute of Electrical and Electronics Engineers, pp. 705-708, 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05, Philadelphia, PA, United States, 18/03/05. https://doi.org/10.1109/ICASSP.2005.1416106

Strong consistency of a family of model order selection rules for estimating the parameters of 2-D sinusoids in white noise. / Kliger, Mark; Francos, Joseph M.
2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions. Institute of Electrical and Electronics Engineers, 2005. p. 705-708 1416106 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. IV).

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

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Kliger M, Francos JM. Strong consistency of a family of model order selection rules for estimating the parameters of 2-D sinusoids in white noise. In 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions. Institute of Electrical and Electronics Engineers. 2005. p. 705-708. 1416106. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2005.1416106

Strong consistency of a family of model order selection rules for estimating the parameters of 2-D sinusoids in white noise

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