NDLI: Time delay estimation by combining efficient algorithms and generalized cross-correlation methods

Content Provider	IEEE Xplore Digital Library
Author	Hertz, D.
Copyright Year	1974
Abstract	This paper analyzes the performance of the two efficient algorithms (presented by Stein and Cabot) for time delay of arrival estimation (TDE) between two signals. It is shown that these estimators are unbiased, and explicit expressions for the TDE mean-square error (MSE) are presented. It is also shown how to improve the performance of these algorithms by combining them with generalized cross-correlation (GCC) methods. In the analysis, we only assume stationary signals which are not necessarily Gaussian. The first algorithm (Stein) is indirect and uses the symmetry of the cross-correlation function between the two signals. It is shown here that the TDE-MSE depends on the unknown delay. The performance of this algorithm can be improved by combining it with the GCC method, and the pertinent TDE-MSE expressions are presented. The second algorithm (Cabot) is based on finding the zero of the cross-correlation function between one signal and the Hilbert transform of the other signal. Here, too, the pertinent TDE-MSE expressions are presented. This algorithm is also combined with the GCC method, and the optimal weight function for which the TDE-MSE expression coincides with the Cramer-Rao lower bound is found.
Starting Page	1
Ending Page	7
Page Count	7
File Size	585937
File Format	PDF
ISSN	00963518
Volume Number	34
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1986-02-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Delay effects Delay estimation Signal processing algorithms Signal analysis Sampling methods Bandwidth Performance analysis Algorithm design and analysis Approximation algorithms Signal processing
Content Type	Text
Resource Type	Article
Subject	Signal Processing

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