Characterization of threshold for single tone maximum likelihood frequency estimation

Author

James, Ben ; Anderson, Brian D O ; Williamson, Robert C.

Author_Institution

Dept. of Electr. & Electron. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK

Volume

43

Issue

4

fYear

1995

fDate

4/1/1995 12:00:00 AM

Firstpage

817

Lastpage

821

Abstract

This paper presents a simple and direct approach to understanding the threshold effect associated with maximum likelihood estimation of the frequency of a single complex tone. Motivation for the approach, stemming from known results in the field of phase locked loops, is given. It is shown both theoretically and experimentally that the onset of threshold can be directly characterized by a single, easily computed parameter, namely the Cramer-Rao bound on the phase estimation error variance

Keywords

error analysis; frequency estimation; maximum likelihood estimation; phase estimation; phase locked loops; signal processing; Cramer-Rao bound; complex tone; phase estimation error variance; phase locked loops; single tone maximum likelihood frequency estimation; threshold effect; Amplitude estimation; Australia; Frequency estimation; Frequency measurement; Helium; Maximum likelihood estimation; Noise measurement; Phase estimation; Phase locked loops; Phase noise;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.376834

Filename

376834