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Time Delay Estimation by Cross-covariance Maximization of Quadrature Sampled Narrowband Signals

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Abstract:

A numerically efficient algorithm for estimating the time delay from observations of a stationary narrowband signal and its delayed version is investigated. Quadrature sampling, a variant of bunched sampling, is applied to estimate samples of the quadrature components of the cross-covariance function of the two signals. The baseband magnitude squared of this function can be maximized for time delay estimation. Because the time delay is unknown, the baseband cross-covariance function cannot be interpolated from the estimated samples. Numerical maximization of the samples' magnitude squared and quadratic interpolation, however, results in a reasonable time delay estimate.

Document Type: Research Article

DOI: https://doi.org/10.1078/1434-8411-54100201

Affiliations: Lehrstuhl für Signaltheorie, Ruhr-Universität Bochum, 44780 Bochum, Germany. boehme@sth.ruhr-uni-bochum.de

Publication date: 2004-01-01

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