作者:
Remy BoyerL2S
CNRS Université Paris-Sud XI France
Introducing prior-knowledge of some damped/undamped poles in the estimation of the parameters of a mutli-poles sinusoidal model is an important problem as for instance in bearing estimation or in biomedical signal ana...
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Introducing prior-knowledge of some damped/undamped poles in the estimation of the parameters of a mutli-poles sinusoidal model is an important problem as for instance in bearing estimation or in biomedical signal analysis. The principle is to orthogonally project the data onto the noise space associated with the known poles. As the Cramer-Rao Lower Bound (CRB) gives a benchmark against which algorithms performance can be compared, it is useful to derive the CRB associated with this model, named Prior-CRB (P-CRB). In particular, we analyze this bound in the context of close subspaces context, ie., when the known poles are close to the unknown ones.
We propose a new resampling scheme that takes literally the concept of the non-parametric bootstrap in which new samples are generated from the empirical distribution function. The introduced resampling concept is tot...
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We propose a new resampling scheme that takes literally the concept of the non-parametric bootstrap in which new samples are generated from the empirical distribution function. The introduced resampling concept is totally heuristic, but already shows promising results when applied to model selection. We show that for a range of linear models, the proposed resampling scheme outperforms the classical model selection techniques as well as its predecessor, the non-parametric bootstrap. It also simplifies the practical problem of choosing residual scaling or the length of the subsample that exists in the traditional bootstrap based model selection approach.
Computing an efficient low-rank approximation of a given positive definite matrix is a ubiquitous task in statistical signalprocessing and numerical linear algebra. The optimal solution is well known and is given by ...
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Computing an efficient low-rank approximation of a given positive definite matrix is a ubiquitous task in statistical signalprocessing and numerical linear algebra. The optimal solution is well known and is given by the singular value decomposition;however, its complexity scales as the cube of the matrix dimension. Here we introduce a low-complexity alternative which approximates this optimal low-rank solution, together with a bound on its worst-case error. Our methodology also reveals a connection between the approximation of matrix products and Schur complements. We present simulation results that verify performance improvements relative to contemporary randomized algorithms for low-rank approximation.
In this paper, we propose a relaying scheme that uses a fixed multiple-input-multiple-output (MIMO) relay to improve the performance of the multi-point to multi-point communication in wireless networks. Under the assu...
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In this paper, we propose a relaying scheme that uses a fixed multiple-input-multiple-output (MIMO) relay to improve the performance of the multi-point to multi-point communication in wireless networks. Under the assumption that the perfect channel state information (CSI) is known, we propose the MIMO relay which minimizes its total transmit power by satisfying the signal-to-interference-and-noise-ratio (SINR) requirement for all destinations. This paper shows that the aforementioned problem is non-convex but it can be relaxed to a convex problem using the semidefinite relaxation technique. Computer simulations show that the proposed MIMO relay outperforms the conventional all-pass MIMO relay.
A popular class of parameter estimation method is based on a sequential/iterative scheme. In this framework, each component is estimated one by one and at each iteration the underlying model is based on the estimation...
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A popular class of parameter estimation method is based on a sequential/iterative scheme. In this framework, each component is estimated one by one and at each iteration the underlying model is based on the estimation of a single component corrupted by a structured interference (the other components) and by an unstructured Gaussian noise. So, in the context of the bearing estimation problem, we derive the deterministic Cramer-Rao Bound, called Interfering CRB (I-CRB), associated with this model. In particular, we show that for low Interference to Noise Ratio (INR), the I-CRB reaches the CRB for a single component (without structured interference). Inversely, for high INR, the I-CRB is equal to the Prior-CRB where we assume the exact knowledge of the structured interference. In addition, we show that in the closely-spaced bearings, the I-CRB has two typical regimes depending of the INR.
Target tracking in wireless sensor networks with constrained resources is a challenging problem. In this paper we consider scenarios where sensors sense an object of interest and process the received measurements usin...
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Target tracking in wireless sensor networks with constrained resources is a challenging problem. In this paper we consider scenarios where sensors sense an object of interest and process the received measurements using adaptive thresholds to obtain quantized data in the form of two levels. The data are quantized to address resource constraints in sensor networks. The processed data are then sent to a fusion center which resolves the tracking problem by means of a particle filter which can handle non-linearities in the state model. The performance of various strategies for threshold adaptation is studied by computer simulations and the results reveal that improvement is obtained over scenarios with fixed thresholds.
We propose a matched-field processing framework for tracking problems in shallow water environments where the conventional plane-wave assumptions do not hold. Multiple passive acoustic sensors are employed to collect ...
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We propose a matched-field processing framework for tracking problems in shallow water environments where the conventional plane-wave assumptions do not hold. Multiple passive acoustic sensors are employed to collect observation data, and sequential Monte Carlo techniques are used for tracking due to the high nonlinearity in the dynamic state formulation. In order to enhance the tracking performance, we design a frequency selection algorithm which adaptively chooses the optimal observation frequency for the sensors at each time instant. The improved tracking performance is demonstrated using simulations.
This paper presents a novel synthetic aperture method, which can be used to reduce the average sidelobe level of a random spherical volumetric array. The technique exploits a general property of random arrays in which...
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ISBN:
(纸本)1424403081
This paper presents a novel synthetic aperture method, which can be used to reduce the average sidelobe level of a random spherical volumetric array. The technique exploits a general property of random arrays in which the average sidelobe level is inversely proportional to the number of elements present.
For a set of T independent N-variate Gaussian training samples (T < N), we derive a test for discriminating between stationary autoregressive models of order m, AR(m), and time-varying autoregressive models of orde...
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ISBN:
(纸本)1424403081
For a set of T independent N-variate Gaussian training samples (T < N), we derive a test for discriminating between stationary autoregressive models of order m, AR(m), and time-varying autoregressive models of order m, TVAR(m).
Multifunction phased array systems with radar, telecom, and imaging applications have already been established for flat plate phased arrays of dipoles, or waveguides. In this paper the design trades and candidate opti...
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ISBN:
(纸本)1424403081
Multifunction phased array systems with radar, telecom, and imaging applications have already been established for flat plate phased arrays of dipoles, or waveguides. In this paper the design trades and candidate options for combining the radar and telecom functions of the deep space network (DSN) into a single large transmit array of small parabolic reflectors will be discussed. In particular the effect of combing the radar and telecom functions on the sizes of individual antenna apertures and the corresponding spacing between the antenna elements of the array will be analyzed. A heterogeneous architecture for the DSN large transmit array is proposed to meet the radar and telecom requirements while considering the budget, scheduling, and strategic planning constrains.
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