A computationally efficient implementation of 2-D IQML

Author

Clark, Michael ; Eldén, Lars ; Stoica, Petre

Author_Institution

Mission Res. Corp., Monterey, CA, USA

Volume

2

fYear

1997

fDate

2-5 Nov. 1997

Firstpage

1730

Abstract

The 2-D IQML is a method for estimating the frequencies of 2-D sinusoids in noise. It is unique in the sense that it is the only 2-D method which exploits a linear representation of the orthogonal subspace. While this representation is structured and sparse, we have previously been unable to exploit this structure to devise a computationally efficient algorithm. This paper presents a remedy to this problem, yielding an efficient method for computing the 2-D likelihood function as expressed in terms of the orthogonal subspace. As such, the results impact not only the 2-D IQML but other estimators based on maximum likelihood as well.

Keywords

computational complexity; frequency estimation; matrix algebra; maximum likelihood estimation; noise; signal representation; 2D IQML; 2D likelihood function; 2D sinusoids; complexity; computationally efficient algorithm; computationally efficient implementation; frequency estimation; linear representation; matrix; maximum likelihood estimation; noise; orthogonal subspace; signal processing; sparse representation; structured representation; Additive noise; Control systems; Ear; Frequency estimation; Mathematics; Maximum likelihood estimation; Polynomials; Signal processing; Signal processing algorithms; Stacking;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems & Computers, 1997. Conference Record of the Thirty-First Asilomar Conference on

Conference_Location

Pacific Grove, CA, USA

ISSN

1058-6393

Print_ISBN

0-8186-8316-3

Type

conf

DOI

10.1109/ACSSC.1997.679198

Filename

679198