NDLI: The Extended Invariance Principle for Signal Parameter Estimation in an Unknown Spatial Field

Content Provider	IEEE Xplore Digital Library
Author	Antreich, F. Nossek, J.A. Seco-Granados, G. Swindlehurst, A.L.
Copyright Year	1991
Abstract	This paper treats the problem of joint estimation of time-delay, Doppler frequency, and spatial (direction-of-arrival or DOA) parameters of several replicas of a known signal in an unknown spatially correlated noise field. Both spatially unstructured and structured data models have been proposed for this problem and corresponding maximum likelihood (ML) estimators have been derived. However, structured models require a high computational complexity and are sensitive to the antenna array response, while unstructured models are unable to achieve good performance in some scenarios. In this paper, it is shown how the extended invariance principle (EXIP) can be applied to obtain estimates with the quality of a spatially structured model, but with much lower complexity than directly utilizing a structured model and with greater robustness to errors in the model of the array response. EXIP improves the quality of the time-delay and Doppler frequency estimates obtained with a spatially unstructured model by introducing DOA estimates which are obtained in a second step through an innovative reparametrization. Simulation results for time-delay and Doppler frequency estimation for Global Positioning System (GPS) signals are presented and confirm that the proposed two-step approach attains the Cramer-Rao lower bound (CRLB) of the spatially structured model.
Sponsorship	IEEE Signal Processing Society
Starting Page	3213
Ending Page	3225
Page Count	13
File Size	622841
File Format	PDF
ISSN	1053587X
Volume Number	59
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Arrays Data models Maximum likelihood estimation Antenna arrays Direction of arrival estimation Doppler effect propagation time-delay Cramer-Rao lower bound (CRLB) direction of arrival (DOA) Doppler frequency extended invariance principle high-resolution array signal processing maximum likelihood estimation multipath channel
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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