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
Copyright Status
Unknown
Socpus ID
84890016846 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84890016846
STARS Citation
Şahin, Ismet; Simaan, Marwan A.; and Kearsley, Anthony J., "Successive Frequency Domain Minimization For Time Delay Estimation" (2014). Scopus Export 2010-2014. 8535.
https://stars.library.ucf.edu/scopus2010/8535