Fundamental Frequency Estimation using the Shift-Invariance Property

Author

Christensen, Mads Grcsboll ; Jakobsson, Andreas ; Jensen, Soren Holdt

Author_Institution

Aalborg Univ., Aalborg

fYear

2007

fDate

4-7 Nov. 2007

Firstpage

631

Lastpage

635

Abstract

In this paper, we propose a method for the estimation of the fundamental frequency of a periodic waveform based on the shift-invariance property of the sinusoidal signal model known from ESPRIT. An advantage of the proposed method is that the model order and the fundamental frequency can be found jointly and that the method does not depend on the density of the observation noise but rather on it being approximately white. Also, the cost function is observed to very smooth as compared to that of MUSIC. The method is shown in simulations to have good performance with the root mean square estimation error approaching the Cramer-Rao lower bound.

Keywords

frequency estimation; least mean squares methods; signal classification; Cramer-Rao lower bound; frequency estimation; root mean square estimation error; shift-invariance property; sinusoidal signal model; Additive noise; Additive white noise; Cost function; Estimation error; Frequency estimation; Multiple signal classification; Parameter estimation; Root mean square; Signal analysis; Speech analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 2007. ACSSC 2007. Conference Record of the Forty-First Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

978-1-4244-2109-1

Electronic_ISBN

1058-6393

Type

conf

DOI

10.1109/ACSSC.2007.4487290

Filename

4487290