Title

Successive Frequency Domain Minimization For Time Delay Estimation

Keywords

Delay systems; Discrete Fourier Transform; Frequency domain methods; Successive minimization; Time delays

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). © 2013 Elsevier B.V. All rights reserved.

Publication Date

5-1-2014

Publication Title

Signal Processing

Volume

98

Number of Pages

96-101

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.sigpro.2013.10.025

Socpus ID

84890016846 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84890016846

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