Iterative frequency estimation by interpolation on Fourier coefficients

Author

Aboutanios, Elias ; Mulgrew, Bernard

Author_Institution

Sch. of Eng. & Electron., Univ. of Edinburgh, UK

Volume

53

Issue

4

fYear

2005

fDate

4/1/2005 12:00:00 AM

Firstpage

1237

Lastpage

1242

Abstract

The estimation of the frequency of a complex exponential is a problem that is relevant to a large number of fields. In this paper, we propose and analyze two new frequency estimators that interpolate on the Fourier coefficients of the received signal samples. The estimators are shown to achieve identical asymptotic performances. They are asymptotically unbiased and normally distributed with a variance that is only 1.0147 times the asymptotic Crame´r-Rao bound (ACRB) uniformly over the frequency estimation range.

Keywords

Fourier analysis; frequency estimation; interpolation; iterative methods; signal processing; Fourier coefficient; digital signal processing; interpolation; iterative frequency estimation; parameter estimation; Additive white noise; Discrete Fourier transforms; Frequency estimation; Gaussian noise; Interpolation; Iterative algorithms; Maximum likelihood estimation; Signal analysis; Signal processing algorithms; Signal to noise ratio; Digital signal processing; frequency estimation; parameter estimation;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2005.843719

Filename

1408177