Two-Dimensional Sub-Sample Shift Estimation Using Plane Phase Fitting

Author

Basarab, Adrian ; Liebgott, Hervé ; Grava, Cristian ; Delachartre, Philippe

Author_Institution

CNRS UMR, Lyon

Volume

2

fYear

2006

fDate

14-19 May 2006

Abstract

This paper investigates the problem of two-dimensional shift estimation between two sinusoids, proposing a method based on a least square plane fitting of the phases of two complex functions. The complex functions are defined using the cross-correlation and its Hubert transforms. This estimation method is shown to be unbiased for long signals and high signal-to-noise ratios. The case of truncated signals is considered and an iterative version of the estimator, giving more accurate results in these situations, is proposed

Keywords

correlation methods; iterative methods; least squares approximations; multidimensional signal processing; transforms; Hubert transforms; cross-correlation; iterative version; least square plane fitting; plane phase fitting; signal-to-noise ratios; two-dimensional sub-sample shift estimation; Biomedical imaging; Fitting; Frequency estimation; Information technology; Laboratories; Least squares approximation; Phase estimation; Phase measurement; Signal to noise ratio; Ultrasonic imaging;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on

Conference_Location

Toulouse

ISSN

1520-6149

Print_ISBN

1-4244-0469-X

Type

conf

DOI

10.1109/ICASSP.2006.1660552

Filename

1660552