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Journal ArticleDOI

Time delay estimation by generalized cross correlation methods

TLDR
The problem of estimating time delay by cross correlation methods is reexamined for the whole class of stationary signals and expressions are derived for the estimation mean square error by the cross correlation method, and are shown to be identical to previously published results for Gaussian signals.
Abstract
The problem of estimating time delay by cross correlation methods is reexamined for the whole class of stationary signals. Expressions are derived for the estimation mean square error (MSE) by the cross correlation method, and are shown to be identical to previously published results for Gaussian signals. The generalized cross correlation method is also analyzed, and the optimal weight function for this method is derived. It is shown to be identical to that derived for Gaussian signals by the maximum likelihood method. For the cross correlation method a simplified MSE expression is derived, which is to be used instead of a previously published result.

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Citations
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Journal ArticleDOI

Time delay estimation in room acoustic environments: an overview

TL;DR: A systematic overview of the state-of-the-art of time-delay-estimation algorithms ranging from the simple cross-correlation method to the advanced blind channel identification based techniques is presented.
Journal ArticleDOI

Differential delay/Doppler ML estimation with unknown signals

TL;DR: The analysis shows that the complex ambiguity function (CAF) still represents the ML approach when the noise is Gaussian and spectrally flat and shows that use of interference-rejection filtering followed by a CAF is an attractive suboptimum approach in an environment of narrowband interferers.
Journal ArticleDOI

Continuous broadband digital interferometry of lightning using a generalized cross-correlation algorithm

TL;DR: In this study, two-dimensional interferometer observations of a classic bilevel intracloud flash are presented and combined with three-dimensional Lightning Mapping Array observations to produce a quasi 3-D map of lightning activity with the time resolution of the interferometers.
Journal ArticleDOI

Comparison of the performance of the RF cross correlation and Doppler autocorrelation technique to estimate the mean velocity of simulated ultrasound signals

TL;DR: It can be concluded that the cross correlation technique behaves superiorly especially for a low velocity dispersion, and the standard deviation of the velocity estimate decreases for an increasing sample volume length and package length, while the performance of the conventional Doppler technique is rather independent of the length of the sample volume.
Journal ArticleDOI

Echo state networks with filter neurons and a delay&sum readout.

TL;DR: A delay&sum readout is introduced, which adds trainable delays in the synaptic connections of output neurons and therefore vastly improves the memory capacity of echo state networks.
References
More filters
Book

Random variables and stochastic processes

TL;DR: An electromagnetic pulse counter having successively operable, contact-operating armatures that are movable to a rest position, an intermediate position and an active position between the main pole and the secondary pole of a magnetic circuit.
Journal ArticleDOI

The generalized correlation method for estimation of time delay

TL;DR: In this paper, a maximum likelihood estimator is developed for determining time delay between signals received at two spatially separated sensors in the presence of uncorrelated noise, where the role of the prefilters is to accentuate the signal passed to the correlator at frequencies for which the signal-to-noise (S/N) ratio is highest and suppress the noise power.
Journal ArticleDOI

Algorithms for ambiguity function processing

TL;DR: The nature of the ambiguity processing is interpreted, and an algorithm approach is shown that minimizes the processing burden over a broad category of applications without affecting performance.
Journal ArticleDOI

Optimum Passive Bearing Estimation in a Spatially Incoherent Noise Environment

TL;DR: In this article, the Cramer-Rao technique is used to set a lower bound on the rms bearing error and the results are compared with the bearing error of a slightly modified split-beam tracker.
Journal ArticleDOI

Optimum estimation of time delay by a generalized correlator

TL;DR: Optimum filters as discussed by the authors are designed to enhance the estimation of time delay between signals received at two spatially separate sensors, and the resulting filters are placed in the predetection stage of a basic cross correlator.