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Publication in the conference proceedings of EUSIPCO, Bucharest, Romania, 2012 ... Note that R 0 has a Toeplitz-structure for a uniform linear array (ULA) and a Toeplitz-block Toeplitz structure for a uniform rectangular array (URA)  . ... For each of these sets of redundantly measured spatial frequencies, we can build a system of equations cf. (3) and (4) with R 0,ij = R 0,q . ...doi:10.5281/zenodo.52541 fatcat:qxtc5snw2vhunmpihne4zbvjfe
This paper describes a straightforward systolic array method for solving linear systems of equations on a network of transputers. The program is written in Occam. ... Summary: “Fast direct methods are proposed for the solution of linear systems arising when orthogonal spline collocation with piecewise Hermite bicubics is employed for the approximate so- lution of Poisson ...
Co-prime arrays can estimate the directions of arrival (DOAs) of O(MN) sources with O(M + N) sensors, and are convenient to analyze due to their closed-form expression for the locations of virtual lags ... To address this issue, techniques such as positive definite Toeplitz completion and array interpolation have been proposed in the literature. ... Conflicts of Interest: The authors declare no conflict of interest. ...doi:10.3390/s17051140 pmid:28509886 pmcid:PMC5470816 fatcat:bckpzzhpmjf37lqmmvwxwsjsyi
In this work, we develop a novel Monte Carlo method for solving the electromagnetic scattering problem. ... The method is based on a formal solution of the scattering problem as a modified Born series whose coefficients are found by a conformal transformation. ... The main advantages of this method are its ease of formulation and its potential parallelism. The Monte Carlo samples can be independently computed without the need of inter-processor communications. ...arXiv:2105.06949v1 fatcat:2bvjqhyvhnesveitgyd2pkrcma
Due to the rapid development and wide application of compressed sensing and sparse reconstruction theory, there exists a series of sparsity-based methods for the antenna sensor array direction of arrival ... To overcome this shortcoming, a gridless DOA estimation algorithm with finite rate of innovation (FRI) based on a symmetric Toeplitz covariance matrix is proposed for uniform linear array (ULA) in this ... Authors' contributions The idea of this work was proposed by Tao Chen. Lin Shi performed the experiments and analyzed the simulation results. Yongzhi Yu wrote the paper. ...doi:10.1186/s13634-020-00701-7 fatcat:lpe74ltwpvhljggtommlgualwe
A configuration with two uniform linear antenna arrays (ULAs) is employed for the joint estimation of elevation (θ) and azimuth (φ) angles. ... The proposed method utilizes only a single snapshot of the received data and constructs a Toeplitz data matrix. ... comparison for 100 Monte Carlo iterations. ...doi:10.2528/pierl14051903 fatcat:5dpmf3tponhkvl3fqkvlv4osve
Megson, Solving system of linear algebraic equations by Monte Carlo method on regular arrays (137-146); Octav Brudaru and Radu Silion, Systolic architectures for fuzzy arithmetic and polynomials (147-156 ... Wyrzykowski, Algorithm-based fault tolerant solution of linear systems on processor arrays (165-173); W. Koch, Efficient reduce and scan functions for mesh-connected SIMD computers (174-183); A. S. ...
equation system, so we transform it to real linear equation system. ... The number of Monte-Carlo trials is set to be I = 500 for each experiment. ...doi:10.1109/access.2021.3077080 fatcat:wt3djqtzmbgednyhi7gifkprsq
The DOA's are estimated by the standard MUSIC algorithm, and the number of Monte Carlo runs is 500. ... The channel responses are then estimated by solving a set of linear prediction equations. The proposed algorithm decouples the estimation of each channel impulse responses. ...doi:10.1109/78.863076 fatcat:ycyd32q3ivd5fogrmc44ge7zze
Toeplitz matrix when using the uniform linear array (ULA). ... In this paper, an off-grid direction-of-arrival (DoA) estimation algorithm which can work on a non-uniform linear array (NULA) is proposed. ... Acknowledgments: This work was supported by the Agency for Defense Development. Conflicts of Interest: The authors declare no conflict of interest. ...doi:10.3390/en13215775 fatcat:6k2mjxlzlzbojgumfobzsnmcjy
A precise model of the array response is required to maintain the performance of direction-of-arrival (DOA) estimation. ... In this paper, the problem of phase autocalibration for uniform rectangular array (URA) geometries is considered. ... the phase error estimates in run , and is the number of Monte Carlo runs. ...doi:10.1109/tsp.2012.2203125 fatcat:wwvuzhylknbnpdwveuwzfpieci
In this paper, a novel sparse system model for direction of arrival (DOA) estimation in the scenario with gain-phase errors is proposed by exploiting the signal sparsity in the spatial domain. ... In practical array systems, the gain-phase errors among antennas degrade the performance of direction finding significantly. ... Conflicts of Interest: The authors declare no conflict of interest. ...doi:10.3390/electronics8050557 fatcat:odibgkclxrgcxbokx6krkz7ixi
At the core of this work is to address the aforementioned issues by devising innovative solutions using convex optimization and machine learning tools, structured sparsity concepts, low rank matrix completion ... Environment-dependent objectives, on the other hand, consider the operating conditions characterized by emitters and targets in the array field of view, in addition to receiver noise. ... Monte Carlo Simulation We generate 3500 Monte Carlo simulations for comparison between the performance of the sparse arrays that are designed freely and that of sparse array design involving full aug- ...arXiv:2101.06816v1 fatcat:567n7m2wpjba7opqaj25xbopdy
The 2D-SGFRI algorithm firstly recovers the covariance data of the virtual array formed by BSLA through the matrix completion method, so as to obtain the complete covariance data vectors about two independent ... INDEX TERMS Two-dimensional DOA estimation, bi-orthogonal sparse linear array (BSLA), finite rate of innovation (FRI), matrix completion, annihilation filter. ... As a common method to recover complete covariance data, matrix completion theory is generally used to fill the discontinuous part of virtual array formed by sparse linear array represented by coprime array ...doi:10.1109/access.2021.3054660 fatcat:s5e522dehfbfdlhe2fo7l4yim4
For each SLA, we construct a corresponding virtual uniform linear array (ULA) to create the relationship of random linear map between the signals respectively observed by these two arrays. ... In the design phase of sensor arrays during array signal processing, the estimation performance and system cost are largely determined by array aperture size. ... The further data analysis was realized by Yujie Liang under the supervision of Rendong Ying and Peilin Liu. ...doi:10.3390/s141121981 pmid:25420150 pmcid:PMC4279573 fatcat:mwdyig2mmfbv5ncqalvq2q6mmy
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