2011
DOI: 10.1109/tsp.2011.2140107
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The Extended Invariance Principle for Signal Parameter Estimation in an Unknown Spatial Field

Abstract: 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, whil… Show more

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Cited by 31 publications
(10 citation statements)
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“…Thus, multi-antenna GNSS receivers became the focus of research on resilient positioning withstanding not only multipath but also interference and spoofing. In addition to beamforming approaches [4], [5], multi-dimensional parameter estimation approaches [6], [7], and other approaches as those proposed in [8] and [9], tensor-based decomposition methods showed significant improvements over matrix-based decomposition methods. A tensor-based decomposition features uniqueness, improves the identifiability of the parameters, and the tensor structure permits efficient denoising of the received signal.…”
Section: Introductionmentioning
confidence: 99%
“…Thus, multi-antenna GNSS receivers became the focus of research on resilient positioning withstanding not only multipath but also interference and spoofing. In addition to beamforming approaches [4], [5], multi-dimensional parameter estimation approaches [6], [7], and other approaches as those proposed in [8] and [9], tensor-based decomposition methods showed significant improvements over matrix-based decomposition methods. A tensor-based decomposition features uniqueness, improves the identifiability of the parameters, and the tensor structure permits efficient denoising of the received signal.…”
Section: Introductionmentioning
confidence: 99%
“…By combining the spatial and time (space-time) domain, the suppression capabilities can be further increased, especially for wide-band and high dynamic interferences [17]. Furthermore, high-resolution parameter estimation algorithms can jointly mitigate multipath and RFI, and provide highly accurate results [20,21]. This is achieved by separating the LOS component from reflections [20].…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, high-resolution parameter estimation algorithms can jointly mitigate multipath and RFI, and provide highly accurate results [20,21]. This is achieved by separating the LOS component from reflections [20]. However, these methods entail rather high complexity in the parameter estimation as multi-dimensional nonlinear problems have to be solved.…”
Section: Introductionmentioning
confidence: 99%
“…Knowledge of the DOA offers outstanding benefits, such as spatial filtering. We refer here to many important DOA estimation methods, such as Iterative Quadratic Maximum Likelihood (IQML) [2], Root-WSF [3] and Root-MUSIC [4], Expectation Maximization (EM) [5], [6], [7], [8], the space Alternating Generalized Expectation Maximization (SAGE) [9], [10], [11] and Estimation of Signal Parameters via Rotational Invariance (ESPRIT) [12], which can be applied.…”
Section: Introductionmentioning
confidence: 99%