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A signal processing algorithm for estimating the direction of arrival of a harmonic signal using only a single sensor is proposed. The method is based on the recently invented architecture called CAROUSEL, which makes use of the Doppler effect caused by observing signals using the sensor in a circular motion. The proposed method estimates the direction of arrival from the amount of phase shift of...
This article contains a study of how spatial errors and receiver imperfections affect the angle of arrival estimation accuracy for virtual antenna arrays. A virtual antenna array consists of one receiver element whose location is tracked as the element is moved and in this work, linear arrays are studied. If the location of the receiver is tracked using an inertial measurement unit, an interesting...
The problem of Direction of Arrival (DoA) estimation using partly calibrated arrays composed of multiple identically oriented subarrays is considered. The subarrays are assumed to possess the shift invariance property which is exploited to achieve decentralized search free DoA estimation based on the ESPRIT method. In our previous work, the decentralized power method and the Averaging Consensus (AC)...
In this paper we study the performance of time-reversal multiple signal classification (TR-MUSIC) for computational TR applications. The analysis builds upon classical results on first-order perturbation of singular value decomposition. The closed form of mean-squared error (MSE) matrix of TR-MUSIC is derived for a narrowband multistatic co-located scenario and is compared with both numerical simulations...
It is well known that parameter estimation algorithms designed to exploit the prior knowledge of the strict second-order (SO) non-circularity (NC) of incident signals can estimate the parameters of twice as many sources and achieve significant gains in reducing the estimation error. So far, the magnitude of the NC gain could only be quantified through simulations and finding a generic analytical expression...
A novel convex optimization problem formulation for source localization using partly calibrated arrays composed of subarrays with unknown displacements is introduced. The proposed formulation is based on sparse reconstruction using a mixed trace- and ℓ1-norm minimization and exploits joint sparsity and special structure in the signal model. The new technique is applicable to subarrays of arbitrary...
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...
We consider the problem of selecting anchors for sensor network localization to optimize a metric of the error covariance of the position estimates. We show that an interesting metric is a modular set function, which allows a globally optimal selection to be obtained using a simple greedy algorithm. We also consider a separate but related problem of choosing a subset of distance measurements between...
Cooperative sensor self-localization (CSL) in wireless networks usually requires the nodes to be equipped with specific ranging hardware including ultra-wideband or ultrasonic distance sensors. Such designs are not suitable for application in low-cost, low-power sensor networks. Here, we demonstrate how low-cost, low-power, asynchronous sensor nodes can be used to perform CSL (and, simultaneously,...
We propose a weighted KNN Epipolar Geometry-based method for vision-based indoor localization using cellphone cameras. The proposed method is applicable for fine localization whenever a pose-tagged (position + rotation matrix) image database is available rather than just Geo-tagged one. To the best of our knowledge, this is the first that Epipolar geometry has been utilized for fine localization in...
Several methods have been developed which allow the estimation of the location of an existing source with considerable accuracy in the absence of multipaths. However, if, in addition to the Line-of-Sight (LOS) path, non-LOS (NLOS) paths are also present, then all existing localisation algorithms dramatically fail to estimate the location of the source. In this paper, a passive array processing algorithm...
This paper develops a closed-form solution that improves the projection matrix method for time of arrival (TOA) source localization in the presence of sensor position inaccuracy. The projection approach is attractive because it does not require the use of an extra variable as in the traditional closed-form solution. Compared with the previous projection method, the proposed algorithm offers a closed-form...
An implicit assumption made in studies on state estimation is that the time and frequency at which these measurements are taken is consistent across all the distributed sensing sites. For instance, in the literatures on Wide Area Measurement Systems (WAMS) deployed in the power grid, where the sensors equipped with Global Positioning Signals (GPS), the sensing sites are deemed capable to provide perfectly...
Linear transmission of state measurements is studied, where the control center (CC) sends random state measurement requests to multiple sensors. Each sensor is capable of measuring multiple system parameters, and the CC asks for a particular system parameter from each sensor at each time slot. Delay constrained linear transmission of these measurements over orthogonal fading channels is considered...
This paper explores a potential approach to fast classifying power system events using online synchrophasor measurements. The approach is based on dimensionality reduction of the emerging ambient phasor measurement unit (PMU) data. In contrast with model-based analysis, the proposed approach does not require a system model. It projects real-time PMU data onto the core subspace constructed from pre-event...
The security index problem for false data injection attacks on power systems is considered. In particular, the problem is to find the minimum cost set of bus injection meters and line flow meters that an attacker can seize so as to execute a false data injection. A polynomial-time algorithm is provided to solve this problem in certain settings, based on the principle of max-flow min-cut. The security...
The problems of state recovery and bad data detection in energy grids, while being strongly interconnected, have been treated independently. Furthermore, while state recovery has been studied intensively, it has been less well studied when the measurements are deemed to be contaminated by random bad data (due to sensor failures) or structured bad data (due cyber attacks). This paper provides a unifying...
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