Closed-form automatically paired 2-D direction-of-arrival estimation with arbitrary arrays (original) (raw)

Uniform and nonuniform V-shaped planar arrays for 2-D direction-of-arrival estimation

In this paper, isotropic and directional uniform and nonuniform V-shaped arrays are considered for azimuth and elevation direction-of-arrival (DOA) angle estimation simultaneously. It is shown that the uniform isotropic V-shaped arrays (UI V arrays) have no angle coupling between the azimuth and elevation DOA. The design of the UI V arrays is investigated, and closed form expressions are presented for the parameters of the UI V arrays and nonuniform V arrays. These expressions allow one to find the isotropic V angle for different array types. The DOA performance of the UI V array is compared with the uniform circular array (UCA) for correlated signals and in case of mutual coupling between array elements. The modeling error for the sensor positions is also investigated. It is shown that V array and circular array have similar robustness for the position errors while the performance of UI V array is better than the UCA for correlated source signals and when there is mutual coupling. ...

Two-dimensional angle-of-arrival estimation for uniform planar arrays with sensor position errors

IEE Proceedings F Radar and Signal Processing, 1993

The one-dimensional bearing estimation problem of linearly periodic arrays with sensor position errors has been tackled by the Toeplitz approximation method (TAM), iterative TAM, modified TAM, and iterative MTAM without calibrating the sensor positions. This paper extends these methods to the twodimensional situation using a uniform planar array with sensor position errors to estimate the 2-D angle-of-arrivals (AOAs), azimuth and elevation angles of the emitting sources. Based on the block Toeplitz property and eigenstructure of the ideal covariance matrix observed by the unperturbed array, we extend the methods to alleviate the effect caused by the random perturbations in sensor position. The Music algorithm incorporating a 2-D AOA searching is applied for bearing estimation. Further, the 1-D processing approach presented earlier for solving the 2-D AOA estimation problem can also be applied to reduce the computational burden of 2-D AOA searching. Paper 9088F (El I, E15), firs1 received 4th July 1990 and in revised form 25th June 1992 Yih-Min Chen was with, and Ju-Hong Lee and Chien-Chung Yeh are with the

One-and two-dimensional direction-of-arrival estimation: An overview of search-free techniques

2010

One of major challenges in applying traditional subspace-based direction finding techniques to real-time practical problems is in that they normally require an exhaustive spectral search over the angular parameter(s). Therefore, methods avoiding such a computationally demanding spectral search step are of great interest. In this paper, an overview of one-and two-dimensional search-free direction-of-arrival (DOA) estimation methods is presented. Both cases of uniform and non-uniform sensor arrays are addressed.

Two-Dimensional Direction-of-Arrival Estimation for More Sources Than Sensors

2022

In this paper, we investigate the issue of twodimensional (2-D) direction-of-arrival (DOA) estimation of multiple signals in co-prime planar arrays, where phase ambiguity problem arises due to the large distance between adjacent elements for each subarray. According to the co-prime characteristic, the ambiguity problem can be eliminated by searching for the common peaks of the spatial spectrum of each subarray, where the spectrum search involves a tremendous computation burden. In this paper, we exploit the property that all the ambiguous peaks for each DOA are uniformly distributed in a new transformed domain. Relying on the linear relations, we propose a partial spectral search (PSS) based estimation method, where it involves a limited search over only a small sector. Therefore, the proposed PSS method is very computationally efficient. Numerical results are provided to verify the effectiveness of the proposed method over the state-of-the-art methods, in terms of both computational complexity and estimation accuracy.

Two-Dimensional DOA Estimation Using Cross-Correlation Matrix With L-Shaped Array

IEEE Antennas and Wireless Propagation Letters, 2016

Two dimensional (2D) direction-of-arrival (DOA) elevation and azimuth angles estimation for uncorrelated sources using L-shaped array is presented in this letter. The key points of the proposed method are: 1) The proposed scheme obtains the cross-correlation matrix between the sub-arrays data to construct a data matrix with free noise; 2) employ only linear operations on the data matrix hence low computational complexity; 3) it has better angle estimation with no failure in practical mobile elevation angle range (70 to 90 degrees). Simulation results demonstrate that the proposed method has better performance and lower computational complexity compared to the existing schemes.

Direction of arrival estimation with sensor arrays

2009

With recent increase of hardware capabilities, the application of sensor arrays in the Direction-Of-Arrival estimation is gaining more and more popularity. The behaviour of the array is the complex function of the geometry, sensor characteristic, signal and noise properties and other different factors. Before building the array it is essential to simulate its performance in different conditions with different algorithms. Most of the time the simulations are performed using custom ad-hoc created code. This code is error prone and difficult to maintain. Our goal was to create a reusable and extensible library that would provide the components used in the simulation process. In this paper we present the initial version of the library along with several illustrative examples.

2-D angle of arrival estimation using a one-dimensional antenna array

Abstract—In this paper, a two-dimensional (2-D) angle of arrival (AOA) estimator is presented for vertically polarised waves in which a one-dimensional (1-D) antenna array is used. Many 2-D AOA estimators were previously developed to estimate elevation and azimuth angles. These estimators require a 2-D antenna array setup such as the L-shaped or parallel antenna 1-D arrays. In this paper a 2-D AOA estimator is presented which requires only a 1-D antenna array. This presented method is named Estimation of 2-D Angle of arrival using Reduced antenna array dimension (EAR). The EAR estimator utilises the antenna radiation pattern factor to reduce the required antenna array dimensionality. Thus, 2-D AOA estimation is possible using antenna arrays of reduced size and with a minimum of two elements only, which is very beneficial in applications with size and space limitations. Simulation results are presented to show the performance of the presented method.

Perfomance Study of Direction of Arrival (DOA) Estimation Algorithms for Linear Array Antenna

2009 International Conference on Signal Processing Systems, 2009

This paper presents the performance analysis of five direction of arrival estimation algorithms namely Bartlett, Minimum Variance Distortionless Response (MVDR), Linear Prediction and MUSIC DOA Estimates. We present the description, comparison and the performance and resolution analyses of these algorithms. Sensitivity to various perturbations and the effect of parameters related to the design of the sensor array itself such as the number of array elements and their spacing are also investigated. The analysis is based on linear array antenna and the calculation of the pseudospectra function of the estimation algorithms. Matlab is used for simulating the algorithms.

Precision of direction of arrival (DOA) estimation using novel three dimensional array geometries

AEU - International Journal of Electronics and Communications, 2017

Numerous methods for Direction of Arrival (DOA) estimation, used in smart antennas have been already reported in previous studies. The precision of DOA estimation depends on the choice of the algorithm and the geometrical configuration of the antenna array. In this work, the performance of new geometrical configurations, i.e 2D with equal area and 3D with equal volume including circular, square, triangular, hexagonal and star geometries, with equal number of antenna elements, are examined and compared to each other to find the most proper geometry. Monte-Carlo simulations are performed to evaluate the DOA precision of the proposed arrays using the MUSIC algorithm. It is shown that in three cases of comparison including 2D geometries, 3D geometries and 3D rotated geometries, with the star and triangular configurations one achieves better resolution in DOA estimation. It is also revealed that the rotated configurations show lower estimation error compared to normal configurations.