Graph learning has been widely used in many fields to study the relationships between different entities in a dataset. We present an optimization framework based on the proximal alternating direction method of multipl...
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ISBN:
(纸本)9798350344820;9798350344813
Graph learning has been widely used in many fields to study the relationships between different entities in a dataset. We present an optimization framework based on the proximal alternating direction method of multipliers (pADMM) for learning general signed graphs from smooth signals. We show that our proposed pADMM enjoys global convergence and a local linear convergence rate. Then, we demonstrate the effectiveness of the proposed framework through numerical experiments on signed graphs. Our proposed framework provides a promising approach for learning general signed graphs from smooth signals and can be a valuable tool for data analysis and decision-making in various fields.
In this paper we introduce a new algorithm for the estimation of source location parameters from array data given prior distributions on unknown nuisance source signal parameters. The conditional maximum-likelihood (C...
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ISBN:
(纸本)0780363396
In this paper we introduce a new algorithm for the estimation of source location parameters from array data given prior distributions on unknown nuisance source signal parameters. The conditional maximum-likelihood (CML) formulation is employed, and ML estimation is obtained by marginalizing over the nuisance parameters. In general, direct solution of this marginalization ML problem is intractable. We introduce an expectation-maximization. (EM) algorithm solution, which is applicable to any prior distribution.
Interferometry has been used for decades to image distant electromagnetic sources at long wavelengths. However, the long data collection intervals have prevented imaging rotating objects such as planets. We will show ...
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ISBN:
(纸本)0780363396
Interferometry has been used for decades to image distant electromagnetic sources at long wavelengths. However, the long data collection intervals have prevented imaging rotating objects such as planets. We will show that one can craft an interferometric imaging algorithm using synthetic aperture beamforming techniques by doing linear beamforming on the correlation domain data rather than the signal-domain data. We will then use this analogy to show how it is possible to create previously unrealized interferometric images of a rotating spherical blackbody.
Algorithms for acoustic source localization and tracking are essential for a wide range of applications such as personal assistants, smart homes, tele-conferencing systems, hearing aids, or autonomous systems. Numerou...
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ISBN:
(纸本)9781538647523
Algorithms for acoustic source localization and tracking are essential for a wide range of applications such as personal assistants, smart homes, tele-conferencing systems, hearing aids, or autonomous systems. Numerous algorithms have been proposed for this purpose which, however, are not evaluated and compared against each other by using a common database so far. The IEEE-AASP Challenge on sound source localization and tracking (LOCATA) provides a novel, comprehensive data corpus for the objective benchmarking of state-of-the-art algorithms on sound source localization and tracking. The data corpus comprises six tasks ranging from the localization of a single static sound source with a static microphone array to the tracking of multiple moving speakers with a moving microphone array. It contains real-world multichannel audio recordings, obtained by hearing aids, microphones integrated in a robot head, a planar and a spherical microphone array in an enclosed acoustic environment, as well as positional information about the involved arrays and sound sources represented by moving human talkers or static loudspeakers.
In this paper, we perform joint antenna selection and transmit pre-coder design for integrated sensing and communication (ISAC) systems to meet signal-to-interference-plus-noise-ratio (SINR) requirements at the users ...
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ISBN:
(纸本)9798350344820;9798350344813
In this paper, we perform joint antenna selection and transmit pre-coder design for integrated sensing and communication (ISAC) systems to meet signal-to-interference-plus-noise-ratio (SINR) requirements at the users while being capable of identifying, i.e., estimating the direction of arrivals (DoAs), of certain number of sources. We first present a sufficient condition to ensure certain identifiability. Next, through a series of relaxations, we obtain a convex approximation to the combinatorial antenna selection and precoding problem, which we solve using off-the-shelf solvers. The proposed method offers comparable performance to ISAC systems with optimal antenna selection obtained through exhaustive search while significantly out-performing ISAC systems with arbitrarily selected active antennas.
The application of graph signalprocessing (GSP) on partially observed graph signals with missing nodes has gained attention recently. This is because processing data from large graphs are difficult, if not impossible...
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ISBN:
(纸本)9798350344820;9798350344813
The application of graph signalprocessing (GSP) on partially observed graph signals with missing nodes has gained attention recently. This is because processing data from large graphs are difficult, if not impossible due to the lack of availability of full observations. Many prior works have been developed using the assumption that the generated graph signals are smooth or low pass filtered. This paper treats a blind graph filter detection problem under this context. We propose a detector that certifies whether the partially observed graph signals are low pass filtered, without requiring the graph topology knowledge. As an example application, our detector leads to a pre-screening method to filter out non low pass signals and thus robustify the prior GSP algorithms. We also bound the sample complexity of our detector in terms of the class of filters, number of observed nodes, etc. Numerical experiments verify the efficacy of our method.
Frequency-diverse array (FDA) can provide a range-angle-time dependent beamforming capability that could make a difference in some radar applications. However, the joint range-angle estimation of FDA will inevitably i...
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ISBN:
(纸本)9781728119465
Frequency-diverse array (FDA) can provide a range-angle-time dependent beamforming capability that could make a difference in some radar applications. However, the joint range-angle estimation of FDA will inevitably increase the complexity due to the coupling range and angle response. Estimation of signal parameters via rotational invariance techniques (ESPRIT) algorithm cannot be used directly to estimate the angle and range because it does not meet the rotation invariance criterion. In this paper, an ambiguity function (AF)-based method is proposed to avoid the coupling range and angle problem for the FDA and multiple-input multiple-output (MIMO) combined radar to realize high-resolution range and angle estimation. Numerical results show its advantages over conventional method.
A method is presented of performing geolocation of fixed emitters from a single, airborne platform using a two-element, very long baseline interferometer (VLBI) from 10 to 100 feet in length. The interferometer baseli...
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ISBN:
(纸本)1424403081
A method is presented of performing geolocation of fixed emitters from a single, airborne platform using a two-element, very long baseline interferometer (VLBI) from 10 to 100 feet in length. The interferometer baseline is precisely tracked through a differential GPS system using auxiliary antennas placed in close proximity to the VLBI pair. A lever arm correction is applied to arrive at the VLBI baseline from the GPS measurements. A batch least squares processing algorithm is presented that operates on the interferometric phase measurements directly and resolves the associated ambiguities through global search strategies. A method of eliminating receiver phase bias by performing a difference operation is shown. Simulation results and Cramer-Rao lower bounds are also presented.
This paper is concerned with the construction of an adaptive beamformer, which uses the dominant subspace information of a sample covariance matrix. We assume that the sample covariance matrix and its eigenvalue decom...
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ISBN:
(纸本)0780363396
This paper is concerned with the construction of an adaptive beamformer, which uses the dominant subspace information of a sample covariance matrix. We assume that the sample covariance matrix and its eigenvalue decomposition (EVD) are to be updated as data arrive. We present a unified structure for updating the EVD and introduce a robust method for adapting the rank of the dominant subspace. We use the EVD of the sample covariance matrix to build a fast rank- and weight-adaptive beamformer. A useful component of the beamforming routine is a fast algorithm for updating the estimates of the direction of arrival of the dominant sources.
The optimal array for detecting the signal from a desired direction but contaminated by receiver noise and strong interference from different sources with unknown arriving-angles is re-examined. The well-known optimal...
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ISBN:
(纸本)1424403081
The optimal array for detecting the signal from a desired direction but contaminated by receiver noise and strong interference from different sources with unknown arriving-angles is re-examined. The well-known optimal array is obtained by inverting the covariance matrix of interference and noise to maximize the signal to interference and noise ratio (SINR). In practice, the covariance matrix is unknown and has to be estimated by a sample covariance matrix. The optimal array is thus estimated by inverting the sample covariance matrix. This procedure has been employed in optimal array research without challenge. However, it is shown in this paper that the estimated optimal array fails to yield the highest SINR in the case of unknown arriving-angles. Instead the highest SINR can be achieved by optimally estimating the arriving-angles of interference followed by a constrained matched filter, which maximizes the signal to noise ratio subject to canceling the interference from the estimated arriving-angles. In order to reduce the computational burden, an angle-tracking system for multiple targets is adopted to achieve the optimal estimation of arriving-angles. The resulting system of angle-tracking adaptive array offers the highest SINR at a computational burden only on the order of N . M-2 multiplications within a radar range-cell Delta tau, rather than N-3 multiplications in the well-known but questionable estimated optimal array. Here N is the number of sensors in the array and M the number of interference sources. Typically, N = 1,000 in a planar radar array, M = 2 similar to 10 and Delta tau = 1 mu S. Numerical simulations confirm the theoretical results.
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