Cramer-Rao bounds for antenna array design

Gazzah, Houcem; Marcos, Sylvie

doi:10.1109/tsp.2005.861091

Cited by 78 publications

(80 citation statements)

References 20 publications

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“…The above lemma follows from well-known Cramer-Rao bounds [25,11,10] shown previously for linear antenna movements in SAR [34] but readily extensible to circular rotations (proof in supplementary text [1]). Using this lemma, we can define the honesty metric β i as the likelihood that the client is at its reported location, subject to this Gaussian error and additional measurement error in reported locations.…”

Section: Fingerprints To Detect Malicious Clientsmentioning

confidence: 71%

Guaranteeing Spoof-Resilient Multi-Robot Networks

Gil

Kumar

Mazumder

et al. 2015

Robotics: Science and Systems XI

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Abstract-Multi-robot networks use wireless communication to provide wide-ranging services such as aerial surveillance and unmanned delivery. However, effective coordination between multiple robots requires trust, making them particularly vulnerable to cyber-attacks. Specifically, such networks can be gravely disrupted by the Sybil attack, where even a single malicious robot can spoof a large number of fake clients. This paper proposes a new solution to defend against the Sybil attack, without requiring expensive cryptographic key-distribution. Our core contribution is a novel algorithm implemented on commercial Wi-Fi radios that can "sense" spoofers using the physics of wireless signals. We derive theoretical guarantees on how this algorithm bounds the impact of the Sybil Attack on a broad class of robotic coverage problems. We experimentally validate our claims using a team of AscTec quadrotor servers and iRobot Create ground clients, and demonstrate spoofer detection rates over 96%.

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Section: Fingerprints To Detect Malicious Clientsmentioning

confidence: 71%

Guaranteeing Spoof-Resilient Multi-Robot Networks

Gil

Kumar

Mazumder

et al. 2015

Robotics: Science and Systems XI

View full text Add to dashboard Cite

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“…Fig. 3 also shows that ∆ = 90 • is the optimal value, which is different with the optimal value ∆ = 53.13 • in [47] since the assumptions concerning the source signal are not the same.…”

Section: Simulation Results and Analysismentioning

confidence: 82%

“…The Weiss-Weinstein bound is computed using Eqn. (45), (46) and (47). The Ziv-Zakai bound is computed using Eqn.…”

Section: Simulation Results and Analysismentioning

confidence: 99%

“…In this case, we consider 3D source localization using a V-shaped array. Indeed, it has been shown that this kind of array is able to outperform other classical planar arrays, more particularly the uniform circular array [47]. This array is made from two branches of uniform linear arrays with 6 sensors located on each branches and one sensor located at the origin.…”

Section: Simulation Results and Analysismentioning

confidence: 99%

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Some results on the Weiss–Weinstein bound for conditional and unconditional signal models in array processing

Renaux

Boyer

et al. 2014

Signal Processing

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In this paper, the Weiss-Weinstein bound is analyzed in the context of sources localization with a planar array of sensors. Both conditional and unconditional source signal models are studied. First, some results are given in the multiple sources context without specifying the structure of the steering matrix and of the noise covariance matrix.Moreover, the case of an uniform or Gaussian prior are analyzed. Second, these results are applied to the particular case of a single source for two kinds of array geometries: a non-uniform linear array (elevation only) and an arbitrary planar (azimuth and elevation) array.

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“…Here, the CRLB is adopted to characterize the localization accuracy of the antenna array [15][16][17][18]. Two objective functions are proposed from the CRLB of the coordinate and DOA estimations.…”

Section: Objective Functions For Array Deployment Optimizationmentioning

confidence: 99%

Optimization of Antenna Array Deployment for Partial Discharge Localization in Substations by Hybrid Particle Swarm Optimization and Genetic Algorithm Method

Zhu

Chang

et al. 2018

Energies

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A radio frequency antenna array was adopted to localize partial discharge (PD) sources in an entire substation. The deployment of an antenna array is a significant factor affecting the localization accuracy, and the array needs to be carefully selected. In this work, a hybrid method of particle swarm optimization (PSO) and a genetic algorithm (GA) is proposed to optimize the array deployment. A direction-of-arrival (DOA) estimation algorithm applicable to arbitrary array configurations is firstly presented. The Cramér-Rao lower bound (CRLB) was employed to evaluate the localization accuracy of different arrays, and two objective functions characterizing the estimation errors of coordinates and the DOA are proposed. With the goal of minimizing the objective functions, the array deployments for the coordinate and DOA localizations were optimized by using the hybrid PSO/GA algorithm. Using the developed method, optimal antenna configurations for different constraint areas, aspect ratios, and numbers of sensors were investigated. The results indicate that the optimal deployments for coordinate and DOA estimations are different; specifically speaking, superior DOA performance is achieved when all antennas are placed on the outer boundary of the constraint area while part of the antennas in the optimal coordinate array are placed in the middle position.

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Cramer-Rao bounds for antenna array design

Cited by 78 publications

References 20 publications

Guaranteeing Spoof-Resilient Multi-Robot Networks

Guaranteeing Spoof-Resilient Multi-Robot Networks

Some results on the Weiss–Weinstein bound for conditional and unconditional signal models in array processing

Optimization of Antenna Array Deployment for Partial Discharge Localization in Substations by Hybrid Particle Swarm Optimization and Genetic Algorithm Method

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