Fault Tolerant Matrix Pencil Method for Direction of Arrival Estimation

Abstract

Continuing to estimate the Direction-of-arrival (DOA) of the signals impinging on the antenna array, even when a few elements of the underlying Uniform Linear Antenna Array (ULA) fail to work will be of practical interest in RADAR, SONAR and Wireless Radio Communication Systems. This paper proposes a new technique to estimate the DOAs when a few elements are malfunctioning. The technique combines Singular Value Thresholding (SVT) based Matrix Completion (MC) procedure with the Direct Data Domain (D^3) based Matrix Pencil (MP) Method. When the element failure is observed, first, the MC is performed to recover the missing data from failed elements, and then the MP method is used to estimate the DOAs. We also, propose a very simple technique to detect the location of elements failed, which is required to perform MC procedure. We provide simulation studies to demonstrate the performance and usefulness of the proposed technique. The results indicate a better performance, of the proposed DOA estimation scheme under different antenna failure scenarios.Comment: 13 pages, 3 figures, Signal and image processing:An international Journal 201

Matrix Pencil for Direction Of Arrival Using Smart Antenna

“…[19]. The comparison show that the authors in [19] indicate that the Matrix Pencil can accuracy estimate the direction of arrival of signal on smart antenna only with one snapshot but the pencil method studied in this work gives more precision than [20] because we have chose a better value of parameter of pencil 'L' to increases the precision and the uniform circular arrays have better performance than the other geometry. In Table II, the MP given in this work gives a good precision compared to the proposed one indicate at [20].…”

“…In Table II, the MP given in this work gives a good precision compared to the proposed one indicate at [20]. The authors in [20] didn't give the number of snapshots using in this case contrary to the second case when they use 100 element with 5 faulty elements they used one snapshots to demonstrate the efficiency of their proposed method, but inour case we have chosen the same number of snapshots in order to improve the robustness of our method with only one snapshots even if the number of elements changed or one of them stops working.…”

“…The comparison show that the authors in [19] indicate that the Matrix Pencil can accuracy estimate the direction of arrival of signal on smart antenna only with one snapshot but the pencil method studied in this work gives more precision than [20] because we have chose a better value of parameter of pencil 'L' to increases the precision and the uniform circular arrays have better performance than the other geometry. In Table II, the MP given in this work gives a good precision compared to the proposed one indicate at [20]. The authors in [20] didn't give the number of snapshots using in this case contrary to the second case when they use 100 element with 5 faulty elements they used one snapshots to demonstrate the efficiency of their proposed method, but inour case we have chosen the same number of snapshots in order to improve the robustness of our method with only one snapshots even if the number of elements changed or one of them stops working.…”

“…n(k) id treated as a zero mean Gaussian whit noise with variance σ ² .the distance between any two elements of the smart antenna is half wavelength.y(k) is the voltage induced at each of the antenna elements, for k=0, 1, …,N-1. In order to demonstrate the numerical properties, a comparative study was made between the Matrix Pencil and Pencil Method indicates in [19]- [20]- [21]- [22]. [19].…”

Joint Azimuth and Elevation Angle Estimation Using Incomplete Data Generated by a Faculty Antenna Array

“…In this paper, we extended the one dimensional fault tolerant MP method for DOA estimation published by authors in [1] to 2D DOA estimation. We use Matrix Completion via Convex Optimization proposed by Candes and Recht [11], to impute the missing 2D data and apply the 2D MP method proposed by Hua [5] to estimate the azimuth and the elevation angles.…”