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Proceedings ArticleDOI

Measurement of the relative delay between signals propagating in a multipath environment

A. Lindgren, +1 more
- pp 293-298
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TLDR
The performance of standard autocovariance, nonlinear spectral analysis (cepstrum), and the delay-locked loop is analyzed and compared to the results of maximum a posteriori estimation and cepstrum is shown to provide near optimum estimates.
Abstract
The problem of measuring the relative delay from a composite signal in additive noise is considered. The performance of standard autocovariance, nonlinear spectral analysis (cepstrum), and the delay-locked loop is analyzed and compared to the results of maximum a posteriori estimation. Comparison is based on: ability to detect a multipath situation, accuracy of the delay measurement, and resolution. Under conditions typically encountered in practice, cepstrum is shown to provide near optimum estimates. The relative ability of cepstrum and standard autocovariance to extract delay measurements is demonstrated by the results of an underwater experiment performed under conditions where the acoustic signal propagates along a direct and reflected path.

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TL;DR: In this article, a generalized notion of superposition has been proposed for nonlinear filtering of signals which can be expressed as products or as convolutions of components, and applications of this approach in audio dynamic range compression and expansion, image enhancement with applications to bandwidth reduction, echo removal, and speech waveform processing are presented.

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TL;DR: It is shown that homomorphic deconvolution is a useful approach to either removal or detection of echoes in signal-analysis and signal-processing problems such as speech analysis and echo removal and detection.
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The heuristics of cepstrum analysis of a stationary complex echoed Gaussian signal in stationary Gaussian noise

TL;DR: Results of computer experiments using irregular spectra are presented which indicate the superiority of the cepstrum over autocovariance.
Journal ArticleDOI

Theory and Noise Dynamics of the Delay-Locked Loop

TL;DR: The theory and performance of the delay-locked loop with and without clipping in a noisy (Gaussian) environment is presented and a delay tracking system is shown to result that is self-adjusting and capable of providing near optimum performance in varying signal/ noise environments.
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