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

Antreich, Felix and Nossek, Josef A. and Seco-Granados, Gonzalo and Swindlehurst, A. Lee (2011) The Extended Invariance Principle for Signal Parameter Estimation in an Unknown Spatial Field. IEEE Transactions on Signal Processing, 59 (7). IEEE - Institute of Electrical and Electronics Engineers. doi: 10.1109/TSP.2011.2140107.

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This work 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 work 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 GPS (Global Positioning System) signals are presented and confirm that the proposed twostep approach attains the Cramer-Rao lower bound (CRLB) of the spatially structured model.

Item URL in elib:https://elib.dlr.de/69501/
Document Type:Article
Title:The Extended Invariance Principle for Signal Parameter Estimation in an Unknown Spatial Field
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Antreich, FelixGerman Aerospace Center (DLR)UNSPECIFIEDUNSPECIFIED
Nossek, Josef A.Munich University of Technology (TUM)UNSPECIFIEDUNSPECIFIED
Seco-Granados, GonzaloUniversitat Autonoma de Barcelona (UAB) UNSPECIFIEDUNSPECIFIED
Swindlehurst, A. LeeUniversity of California Irvine (UCI)UNSPECIFIEDUNSPECIFIED
Date:July 2011
Journal or Publication Title:IEEE Transactions on Signal Processing
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Publisher:IEEE - Institute of Electrical and Electronics Engineers
Keywords:Antenna arrays, Cramer-Rao lower bound, direction of arrival, Doppler frequency, propagation time-delay, high-resolution array signal processing, maximum likelihood estimation, multipath channel, extended invariance principle
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W KN - Kommunikation/Navigation
DLR - Research area:Space
DLR - Program:W KN - Kommunikation/Navigation
DLR - Research theme (Project):W - Projekt Galileo Advanced Applications (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Navigation
Deposited By: Antreich, Felix
Deposited On:12 Apr 2011 09:55
Last Modified:06 Sep 2019 15:17

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