Title

Successive frequency domain minimization for time delay estimation

Authors

Authors

I. Sahin; M. A. Simaan;A. J. Kearsley

Comments

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Abbreviated Journal Title

Signal Process.

Keywords

Time delays; Delay systems; Discrete Fourier Transform; Frequency domain; methods; Successive minimization; SIGNALS; Engineering, Electrical & Electronic

Abstract

Estimating time delays for signal alignment is important for many applications. This paper extends a successful frequency domain cost function minimization algorithm capable of estimating time delays to within a fraction of sampling periods. Since the function has a narrow basin of attraction around the global minimum, this method often diverges when initial time delay estimates are not sufficiently close to the desired optimal time delays. We propose a second order successive minimization method with reduced sensitivity to initial guesses. Both an analytic expression for the cost function Hessian matrix and a condition guaranteeing positive-definiteness are presented. This condition facilitates the construction of sequentially modified cost functions whose nested minimization increases the basin of attraction around the global minimum. This successive minimization technique is more robust and yields higher accuracy when compared to the original method and the well-known method of Cross Correlator (CC). (C) 2013 Elsevier B.V. All rights reserved.

Journal Title

Signal Processing

Volume

98

Publication Date

1-1-2014

Document Type

Article

Language

English

First Page

96

Last Page

101

WOS Identifier

WOS:000331595000008

ISSN

0165-1684

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