Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-22T07:19:29.322Z Has data issue: false hasContentIssue false

Subspace-based estimation of time of arrival and Doppler shift for a signal of known waveform

Published online by Cambridge University Press:  15 May 2009

V.V. Latyshev*
Affiliation:
Moscow Aviation Institute (State Technical University), Moscow, Russia
*
Corresponding author: V.V. Latyshev Email: [email protected]

Abstract

The subspace-based technique is used for the estimation of the time of arrival and Doppler shift of a signal of known waveform. The tool to find required subspaces is a special orthogonal decomposition of received data. It allows one to concentrate Fisher information on the desired parameter in just a few of the first terms of the decomposition. This approach offers a low-dimensional vector of sufficient statistics. It leads to computationally efficient Bayesian estimation. Besides, it results in expansion of the signal-to-noise ratio (SNR) range for effective maximum likelihood (ML) estimation. Finally, we can obtain independent time arrival and Doppler shift estimations based on generalized eigenvectors.

Type
Original Article
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Jolliffe, I.T.: Principal Component Analysis, Springer-Verlag, 1986.CrossRefGoogle Scholar
[2]Van Trees, H.L.: Detection, Estimation, and Modulation Theory, Part 1, Wiley, New York, 2001, ch. 2.CrossRefGoogle Scholar
[3]Latyshev, V.: The optimum decrease of the dimensionality of data for estimating signal parameters. Sov. J. Commun. Technol. Electron., 33 (1988), 172175.Google Scholar
[4]Fukunaga, K.: Introduction to Statistical Pattern Recognition, San Diego, Academic Press, 1990, ch. 2.Google Scholar
[5]Latyshev, V.: Informational analysis of statistics in time delay estimation problem, in Proc. IRS2007, Cologne, Germany, pp. 169173.Google Scholar
[6]Latyshev, V.: Subspace-based estimation of time of arrival and Doppler shift for a signal of known waveform, in Proc.ESAV'08, Capri, Italy, pp. 9499.Google Scholar