Optimizing V antenna arrays using a Bayesian DOA estimation criterion

Gazzah, Houcem; Delmas, J.-P.

doi:10.1109/iccspa.2013.6487297

Cited by 4 publications

(6 citation statements)

References 19 publications

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“…The high error values in DOA estimation at certain source directions verify that the five elements array has ambiguity problem in its steering vector as explained in the previous section, also. However, the six elements array ambiguity function shows no high error values except at the zero elevations, which was achieved from (16), previously.…”

Section: Numerical Verificationmentioning

confidence: 46%

“…Notice that the axes are normalised with respect to λ. As it can be seen, all of the conditions expressed in (16) are satisfied properly for six elements array but poorly confirmed for the five elements array. These conditions can be proved in other results such as seven and eight elements arrays presented in Fig.…”

Section: Resultsmentioning

confidence: 94%

“…8 for the five and six elements array cases. In addition to the element numbering, the X′ and Y′ referring to the assumed axes are shown in this figures for better understanding of (16). Notice that the axes are normalised with respect to λ.…”

Section: Resultsmentioning

confidence: 99%

“…Also, these equations followed in [13] for a symmetric array structure and reached optimised array with high number of elements. The other optimised array configurations according to both of the Bayesian DOA estimation criterion and the V-shaped arrays have been performed in [14][15][16]. The properties of the V-shaped antenna array such as directionality or omni-directionality can be determined by specifying a single parameter, which is the angle between two linear arrays and can simplify the optimisation process.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Antenna array placement on limited bound for isotropic and optimal direction‐of‐arrival estimation

Ghani

Keyvani

Sedighy

2018

IET signal process.

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An optimal placement for planar antenna array elements is proposed to achieve a precise direction of arrival (DOA) estimation on a limited bound. For this purpose, the Cramer-Rao lower bound is chosen as a suitable and useful criterion. In order to have an accurate isotropic DOA estimation, the placement of the antenna elements in the array configuration is achieved by using the invasive weed optimisation algorithm. Moreover, the optimisation results show higher efficiency compared with the similar uniform circular array. It is proved that the optimised arrays are ambiguity free, also.

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Section: Numerical Verificationmentioning

confidence: 46%

Section: Resultsmentioning

confidence: 94%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Antenna array placement on limited bound for isotropic and optimal direction‐of‐arrival estimation

Ghani

Keyvani

Sedighy

2018

IET signal process.

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“…Another planar arrays known as V-shape arrays have a large aperture that lead to wide angle estimation [21,22]. The uniqueness of their structure is that none of their element is positioned along the x-y axes.…”

Section: Introductionmentioning

confidence: 99%

Azimuth DOA Estimation in Y-bend Antenna Array

Sanudin

2016

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. In smart antenna system, it is extremely crucial to estimate the direction of incoming signals in order to achieve better reception. Reliability of DOA estimation depends on several factors such as the choice of DOA algorithm, size of antenna array as well as array geometry. Therefore, it is particularly desirable to have a configuration of antenna array that could produce an accurate azimuth estimation. In this work, a new planar array is proposed to address the problem of azimuth estimation. This is achieved by having a flexible element position on the xy plane that improves the steering vector, hence significantly enhances the accuracy of DOA estimation. Besides, a fair distribution of the antenna elements on the x-y plane also helps to eliminates estimation failure in the azimuth range between 240° and 360°. A comparison study between the proposed array and V-shape array is performed in order to gauge the performance of the proposed array in DOA estimation. Simulation results show that the proposed array has acquired better estimation resolution than V-shape array. On top of that, the proposed array has reduced estimation error in V-shape array. It is concluded that the proposed array has shown potential as an excellent choice of antenna array geometry for smart antenna system. IntroductionDirection of arrival (DOA) estimation for smart antenna system has been investigated extensively in the last six decades and has been applied in various fields including wireless communication, radar, sonar and audio processing [1][2][3][4]. The role of DOA estimation in smart antenna system is essential since it helps to estimate the direction of the incoming signal. The estimated signal direction will be used to point the array beam towards the estimated direction. There are several factors that contribute to the performance of DOA estimation such as the number of element in the array, spacing between elements, size of the array and shape of array [5]. Linear array provides a simple form of antenna array, and it also straightforward to be analysed. However, its capability is limited to one-dimensional DOA estimation, which is only for elevation angle estimation. In order to have both azimuth and elevation angles estimation, a two-dimensional array is needed. Thus, there are several initial configuration of planar arrays have been proposed in the literature such rectangular, triangular and circular arrays [6][7][8][9][10]. Among these initial proposals, circular array provides a unique property of ability to cover azimuth angle in a uniform manner. In general, the computational complexity of DOA estimation is significantly affected by the array geometry due to the increase in the dimensionality of two-dimensional DOA estimation problem [11]. Therefore, vast efforts have been emerged to reduce the computational complexity as well as to simplify the estimation algorithm.

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Geometry Design for DOA Estimation in Seismic 2D-Arrays: Simulation Study

Katz,

Khatib,

Ben-Horin

et al. 2024

IEEE Access

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Sensor array geometry has a direct impact on the direction-of-arrival (DOA) estimation of a seismic signal. In this paper, we design a planar array that aims to optimize the DOA estimation of a narrowband signal in the sense of the minimum mean-squared-periodic-error (MSPE) obtained by the maximum a-posteriori (MAP) estimator of the DOA. We investigate the MSPE of the MAP estimator as a main design criterion and compare it with the criteria: 1) the cyclic Bayesian Cramér-Rao bound (CBCRB); and 2) the expected log-likelihood (ELL). The theoretical properties of these criteria are discussed. We show that minimizing the CBCRB is equivalent to maximizing the expected Fisher information matrix. Additionally, maximizing the ELL under a uniform prior is equivalent to minimizing the Kullback-Leibler divergence between the posterior PDF and its estimation. The criteria are compared across three different array geometries, specifically: small arrays, uniform circular arrays (UCAs), and concentric circular arrays (CCAs). Simulation results show that 1) direct MAP-MSPE optimization notably exceeds CBCRB-and ELL-based designs, especially in small arrays; 2) UCAs have suboptimal performance compared to noncircular arrays in many scenarios; 3) under the MAP-MSPE criterion, CCAs match unconstrained design performance with lower computational complexity, making them preferable for smaller arrays; 4) for CCAs and larger UCAs, CBCRB and MAP-MSPE designs yield similar results, while the ELL design excels in the case of small UCAs. Our results highlight the need for selecting suitable array geometries and design criteria in accordance with the scenario and array size in order to achieve the best DOA estimation results.INDEX TERMS array design, cyclic Bayesian Cramér-Rao bound (CBCRB), direction-of-arrival (DOA), expected log-likelihood (ELL), minimum mean-squared-periodic-error (MSPE), seismology, seismic array This article has been accepted for publication in IEEE Access.

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Optimizing V antenna arrays using a Bayesian DOA estimation criterion

Cited by 4 publications

References 19 publications

Antenna array placement on limited bound for isotropic and optimal direction‐of‐arrival estimation

Antenna array placement on limited bound for isotropic and optimal direction‐of‐arrival estimation

Azimuth DOA Estimation in Y-bend Antenna Array

Geometry Design for DOA Estimation in Seismic 2D-Arrays: Simulation Study

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