Successive frequency domain minimization for time delay estimation

    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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