In this paper, we develop a scheme to partition a one- or multi-dimensional consecutive integer number set into multiple identical, possibly rotated, subsets. The proposed technique first exploits one-dimensional nest...
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ISBN:
(纸本)9798350344820;9798350344813
In this paper, we develop a scheme to partition a one- or multi-dimensional consecutive integer number set into multiple identical, possibly rotated, subsets. The proposed technique first exploits one-dimensional nested subsets, and the results are extended to achieve two- and multi-subset partitioning as well as in two- and multi-dimensional spaces. The number of consecutive lags in each case is examined. The results are useful to various sensing and communication applications, and sparse step-frequency waveform design for range estimation in automotive radar is demonstrated as an example.
Sparse Bayesian learning (SBL) has been used to obtain source direction-of-arrivals (DoAs) from uniform linear array (ULA) data. The maximum number of sources that can be resolved using a ULA is limited by the number ...
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ISBN:
(纸本)9781538647523
Sparse Bayesian learning (SBL) has been used to obtain source direction-of-arrivals (DoAs) from uniform linear array (ULA) data. The maximum number of sources that can be resolved using a ULA is limited by the number of sensors in the array. It is known that sparse linear arrays such as co-prime and nested arrays can resolve more sources than the number of sensors. In this paper we demonstrate this using SBL. We compute the mean squared error in source power estimation as various parameters are varied.
In this paper we study the R-way Parallel Factor Analysis (also referred to as R-way PARAFAC) problem. This branch of multi-way signalprocessing has received increased attention recently which is due to the versatili...
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ISBN:
(纸本)9781424422401
In this paper we study the R-way Parallel Factor Analysis (also referred to as R-way PARAFAC) problem. This branch of multi-way signalprocessing has received increased attention recently which is due to the versatility of the model as well as the identifiability results demonstrating its superiority to matrix-only (2-way) approaches. In R-way PARAFAC analysis, the goal is to decompose an R-dimensional tensor into a minimal sum of rank-1 terms. So far, there exist sub-optimal closed-form solutions as well as iterative techniques for finding these decompositions. However, the latter often require many iterations to converge. In this contribution we demonstrate that the R-way PARAFAC decomposition can be reduced to a set of simultaneous matrix diagonalization problems. Exploiting the structure of the R-dimensional problem, we obtain several estimates for each of the factors and present a "best matching" scheme to select the best estimate for each factor. By means of computer simulations we compare our closed-form solution to an iterative technique and demonstrate the enhanced robustness in critical scenarios.
The non-coherent source localization problem based on distributed sensorarrays can be formulated into a group sparsity based phase retrieval problem where only the magnitude (absolute value) of the received signals i...
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ISBN:
(纸本)9781665406338
The non-coherent source localization problem based on distributed sensorarrays can be formulated into a group sparsity based phase retrieval problem where only the magnitude (absolute value) of the received signals is available. Under such a framework, a two-dimensional localization method is proposed. Unlike traditional source localization methods, random phase errors at sensors of the distributed array will not affect estimation results by the proposed method. Simulation results indicate that the proposed non-coherent source localization method outperforms the traditional one in the presence of large phase errors, while still maintains an acceptable accuracy in the absence of phase errors.
The wide-sense stationary assumption has been frequently employed in arrayprocessing, since it results in uncorrelated frequency bins and consequently major simplifications arise. However, unlike stationary signals, ...
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ISBN:
(纸本)9781467310710
The wide-sense stationary assumption has been frequently employed in arrayprocessing, since it results in uncorrelated frequency bins and consequently major simplifications arise. However, unlike stationary signals, significant interfrequency correlations are observable in nonstationary signals like speech. Here, we drop the stationarity assumption and will show that taking interfrequency correlations into account leads to higher noise reduction. We develop a framework to design nonstationary beamformers similar to the stationary Frost beamformers. Based on the noise model, it can be used to design both fixed and adaptive beamformers. The nonstationary beamformer derived here is a set of time-varying filters and hence can be seen as a set of time-frequency or wavelet transform filters.
The resolving ambiguity of phase interferometer is necessary when the baseline separation between elements exceeds half wavelength since the phase difference between elements can only be measured modulo 2 pi. It is di...
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ISBN:
(纸本)1424403081
The resolving ambiguity of phase interferometer is necessary when the baseline separation between elements exceeds half wavelength since the phase difference between elements can only be measured modulo 2 pi. It is difficult to meet the condition the minimum distance between two antennas is less than half wavelength for avoiding ambiguity in wideband operation. In this paper, we propose a simple and efficient array design method which minimizes the probability of ambiguity. This method adapts NLA (nonuniform linear array) geometry. And there is no need to maintain the distance between antennas less than half wavelength. We also show some numerical examples and experimental results of the 2-D array prototype for airborne application.
The Steered Response Power with phase transform (SRP-PHAT) is one of the most employed techniques for Direction of Arrival (DOA) estimation with microphone arrays due its robustness against acoustical conditions as re...
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ISBN:
(纸本)9781538647523
The Steered Response Power with phase transform (SRP-PHAT) is one of the most employed techniques for Direction of Arrival (DOA) estimation with microphone arrays due its robustness against acoustical conditions as reverberation or noise. Among its main drawbacks is the growth of its computational complexity when the search space increases. To solve this issue, we propose the use of Neural Networks (NN) to obtain the DOA as a regression problem from a low resolution SRP-PHAT power map. The NNs can learn and exploit the information of the acoustic reflections of the room where the array is located with a training method that can be easily performed by an end user without technical knowledge.
Computed Spectroscopy (TM) (CS) is a new approach to hyperspectral imaging recently introduced by the authors [1]*. The CS technique uses an adjustable optical array, which can be considered to be a form of delay-and-...
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ISBN:
(纸本)1424403081
Computed Spectroscopy (TM) (CS) is a new approach to hyperspectral imaging recently introduced by the authors [1]*. The CS technique uses an adjustable optical array, which can be considered to be a form of delay-and-sum passive beamformer. Adopting this point of view, such an array can be analyzed using the (difference) coarray [2], and a previous publication by the present authors [1] features a brief coarTay-based analysis. In the present paper we review the Computed Spectroscopy method, give a coarray-based analysis of the approach, show how numerical problems arise in the reconstruction of wavenumber spectra at low spatial frequencies and give a method for addressing these problems in the computation. Additionally, we discuss an improved approach to discretization of the image formation model.
In mobile sensor network localization problems we seek to estimate the position of the mobile sensor nodes by using a subset of pair-wise range measurements (among the nodes and with mobile anchors). When the sensor n...
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ISBN:
(纸本)9781479914814
In mobile sensor network localization problems we seek to estimate the position of the mobile sensor nodes by using a subset of pair-wise range measurements (among the nodes and with mobile anchors). When the sensor nodes are static, convex relaxations have been shown to provide a remarkably accurate approximate solution to this NP-hard estimation problem. In this paper, we propose a novel convex relaxation to tackle the more challenging dynamic case and we develop a moving horizon convex estimator based on a maximum a posteriori (MAP) formulation. The resulting estimator is then compared to standard extended and unscented Kalman filters both with respect to computational complexity and performance with simulated data. The results are promising, yet a more detailed analysis is needed.
Frequency diverse array (FDA) radar for joint range and angle estimation has drawn much attention, but Doppler estimation is often ignored in the literature. In this paper, we propose joint range, angle and Doppler es...
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ISBN:
(纸本)9781538647523
Frequency diverse array (FDA) radar for joint range and angle estimation has drawn much attention, but Doppler estimation is often ignored in the literature. In this paper, we propose joint range, angle and Doppler estimation for FDA-multiple-input multiple-output (FDA-MIMO) radar. In order to reduce the computation complexity, the Doppler is independently estimated firstly by the extended invariance principle instead of maximum likelihood (ML) estimator. Next, the range and angle are estimated separately with the unstructured model. That is, the three-dimensional search problem of joint range, angle and Doppler estimation is simplified into three one-dimensional search problems. The superiorities of the proposed method over conventional ML algorithms are verified by numerical results.
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