Multipath time-delay estimation
J.-J. Fuchs
- 21 Apr 1997
- Vol. 1, pp 527-530
TL;DR: An algorithm is proposed that is easy to implement, that has a reasonable computational load and seems to be able to solve the problem under more severe conditions (lower SNR) than previous methods.
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Abstract: A transmitted and known signal is observed at the receiver through more than one path in additive noise. The problem is to estimate the number of paths and for each of them the associated attenuation and delay. It is a frequent problem in sonar, radar and geophysics. We propose an algorithm that is easy to implement, that has a reasonable computational load and seems to be able to solve the problem under more severe conditions (lower SNR) than previous methods.
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Citations
Detection and estimation of superimposed signals
Jean-Jacques Fuchs
- 12 May 1998
TL;DR: The problem of fitting a model composed of a number of superimposed signals to noisy observations is addressed and an approach allowing us to evaluate both the number of signals and their characteristics is presented.
An inverse problem approach to robust regression
Jean-Jacques Fuchs
- 15 Mar 1999
TL;DR: A new approach is proposed that allows, by introducing additional variables, to model the outliers and to detect their presence, and allows for extensions that cannot be handled by the usual robust regression methods.
Regularized estimation of mixed spectra using a circular Gibbs-Markov model
TL;DR: Spectral estimates are defined as minimizers of strictly convex criteria and adopted a graduated nondifferentiability approach to compute an estimate in the cases of smooth and mixed spectra.
Minimal L/sub 1/-norm reconstruction function for oversampled signals: applications to time-delay estimation
J.-J. Fuchs,B. Delyon +1 more
TL;DR: The problem of the reconstruction of an oversampled band-limited signal is considered and an explicit expression for the reconstruction function with minimal L/sub 1/-norm is obtained that recommends its use in time-delay estimation but the result may be of interest in other domains.
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References
Array signal processing
D. E. Davies,K. G. Corless,D. S. Hicks,K. Milne +3 more
- 01 Jan 1983
TL;DR: In this paper, the authors proposed the sidelobe canceller, which can steer a single directional null within a sidelobe region of a normal directional pattern and then introduce one or more feedback controls to minimise the signals from all other directions.
211
A parameter estimation approach to time-delay estimation and signal detection
Yiu-Tong Chan,J. Riley,J. Plant +2 more
TL;DR: In this paper, it was shown that the least square estimation of the filter coefficients is equivalent to estimating the Roth processor, and that the parameter estimation approach is expected to have a smaller variance since it avoids the need for spectra estimation.
147
A least-squares algorithm for multipath time-delay estimation
TL;DR: An algorithm is developed that gives least-squares (LS) estimates of the amplitude and time delay of each path in the multipath environment and is shown to achieve the Cramer-Rao lower bound over a wide range of SNR's.
119
Extension of the Pisarenko method to sparse linear arrays
J.-J. Fuchs
- 09 May 1995
TL;DR: The author actually shows that the Pisarenko approach can be seen as a deconvolution or model-fitting approach that minimizes an l/sub 1/ norm and can be implemented as a standard linear program.