9 research outputs found
Estimation of the Number of Sources in Unbalanced Arrays via Information Theoretic Criteria
Estimating the number of sources impinging on an array of sensors is a well
known and well investigated problem. A common approach for solving this problem
is to use an information theoretic criterion, such as Minimum Description
Length (MDL) or the Akaike Information Criterion (AIC). The MDL estimator is
known to be a consistent estimator, robust against deviations from the Gaussian
assumption, and non-robust against deviations from the point source and/or
temporally or spatially white additive noise assumptions. Over the years
several alternative estimation algorithms have been proposed and tested.
Usually, these algorithms are shown, using computer simulations, to have
improved performance over the MDL estimator, and to be robust against
deviations from the assumed spatial model. Nevertheless, these robust
algorithms have high computational complexity, requiring several
multi-dimensional searches.
In this paper, motivated by real life problems, a systematic approach toward
the problem of robust estimation of the number of sources using information
theoretic criteria is taken. An MDL type estimator that is robust against
deviation from assumption of equal noise level across the array is studied. The
consistency of this estimator, even when deviations from the equal noise level
assumption occur, is proven. A novel low-complexity implementation method
avoiding the need for multi-dimensional searches is presented as well, making
this estimator a favorable choice for practical applications.Comment: To appear in the IEEE Transactions on Signal Processin
Statistical Performance Analysis of MDL Source Enumeration in Array Processing
In this correspondence, we focus on the performance analysis of the
widely-used minimum description length (MDL) source enumeration technique in
array processing. Unfortunately, available theoretical analysis exhibit
deviation from the simulation results. We present an accurate and insightful
performance analysis for the probability of missed detection. We also show that
the statistical performance of the MDL is approximately the same under both
deterministic and stochastic signal models. Simulation results show the
superiority of the proposed analysis over available results.Comment: Accepted for publication in IEEE Transactions on Signal Processing,
April 200
Fast and Robust Parametric Estimation of Jointly Sparse Channels
We consider the joint estimation of multipath channels obtained with a set of
receiving antennas and uniformly probed in the frequency domain. This scenario
fits most of the modern outdoor communication protocols for mobile access or
digital broadcasting among others.
Such channels verify a Sparse Common Support property (SCS) which was used in
a previous paper to propose a Finite Rate of Innovation (FRI) based sampling
and estimation algorithm. In this contribution we improve the robustness and
computational complexity aspects of this algorithm. The method is based on
projection in Krylov subspaces to improve complexity and a new criterion called
the Partial Effective Rank (PER) to estimate the level of sparsity to gain
robustness.
If P antennas measure a K-multipath channel with N uniformly sampled
measurements per channel, the algorithm possesses an O(KPNlogN) complexity and
an O(KPN) memory footprint instead of O(PN^3) and O(PN^2) for the direct
implementation, making it suitable for K << N. The sparsity is estimated online
based on the PER, and the algorithm therefore has a sense of introspection
being able to relinquish sparsity if it is lacking. The estimation performances
are tested on field measurements with synthetic AWGN, and the proposed
algorithm outperforms non-sparse reconstruction in the medium to low SNR range
(< 0dB), increasing the rate of successful symbol decodings by 1/10th in
average, and 1/3rd in the best case. The experiments also show that the
algorithm does not perform worse than a non-sparse estimation algorithm in
non-sparse operating conditions, since it may fall-back to it if the PER
criterion does not detect a sufficient level of sparsity.
The algorithm is also tested against a method assuming a "discrete" sparsity
model as in Compressed Sensing (CS). The conducted test indicates a trade-off
between speed and accuracy.Comment: 11 pages, 9 figures, submitted to IEEE JETCAS special issue on
Compressed Sensing, Sep. 201
A unified approach to sparse signal processing
A unified view of the area of sparse signal processing is presented in tutorial form by bringing together various fields in which the property of sparsity has been successfully exploited. For each of these fields, various algorithms and techniques, which have been developed to leverage sparsity, are described succinctly. The common potential benefits of significant reduction in sampling rate and processing manipulations through sparse signal processing are revealed. The key application domains of sparse signal processing are sampling, coding, spectral estimation, array processing, compo-nent analysis, and multipath channel estimation. In terms of the sampling process and reconstruction algorithms, linkages are made with random sampling, compressed sensing and rate of innovation. The redundancy introduced by channel coding i
Filtering on DOA estimation using array of sensors
Orientador: Amauri LopesDissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Eletrica e de ComputaçãoResumo: Este trabalho aborda o problema de estimação da direção de chegada (DOA) de ondas planas usando arranjo de sensores. Existem diversos estimadores para DOA relatados na literatura. Dentre os estimadores de alta resolução, se destacam os métodos MODE e MODEX, que possuem como base o estimador de máxima verossimilhança (MLE). Este trabalho apresenta o desenvolvimento dos métodos MODE, MODEX e de uma versão melhorada do MODEX, o método MODEX Modi?ed. Estes dois últimos estimadores produzem várias estimativas candidatas e usam o critério de máxima verossimilhança para selecionar aquelas que representam as melhores estimativas para os ângulos de chegada. Entretanto, para uma relação sinalruído baixa, estes métodos sofrem uma forte degradação na escolha das candidatas. Na busca de reduzir esta degradação, é apresentada uma proposta de ?ltragem nos sinais captados pelos sensores, com o objetivo de melhorar a relação sinalruído. São propostos dois projetos de ?ltro FIR: um por alocação de pólos e zeros, e outro por amostragem em freqüência. Os resultados obtidos mostram que esta proposta de ?ltragem é válida e que se consegue reduzir signi?cativamente a SNR do limiar de desempenho apresentado pelos métodos MODEX e MODEX Modi?ed.Abstract: This work deals with the estimation of the direction of arrival (DOA) of plane waves using array of sensors. There are various estimators for DOA reported in literature. The MODE and MODEX methods, based on the maximum likelihood criterion, are the best high resolution DOA estimators. This work presents the development of these methods as well as of an improved version of the MODEX, named MODEX Modi?ed. MODEX and MODEX Modi?ed produce some estimates that are candidates for the DOA estimation and use the maximum likelihood criterion to select the best ones. However, for low signaltonoise ratio, the selection process suffers a strong performance degradation. In order to reduce this degradation, this work proposes to ?lter the received signals aiming to improve the signaltonoise ratio. Two FIR ?lters are considered: one composed by poles and zeros and another obtained by sampling in the frequency domain. Simulation results show that this proposal improves signi?cantly the performance of both MODEX and MODEX Modi?ed.MestradoTelecomunicações e TelemáticaMestre em Engenharia Elétric