Bearing estimation without calibration for randomly perturbed arrays

Chen, Y.-M.; Lee, J.-H.; Yeh, Chi‐Chuan; Mar, Jeich

doi:10.1109/78.80780

Cited by 39 publications

(35 citation statements)

References 4 publications

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“…The Toeplitz approximation method can be used to decrease the estimation error of the general correlation matrix [12] : However, if the linear array is non-uniform, the correlation matrices ( ) p f R of different frequency bins may not satisfy the Toeplitz condition, so the Toeplitz approximation method cannot be applied directly. In this situation, a special focusing matrix should be designed to transform the non-uniform array steering vector into a uniform array model approximately.…”

Section: Direction-free Rss Methodsmentioning

confidence: 99%

A novel wideband DOA estimation method using direction-free focusing matrix

Bo¹,

Xiong²,

Luo³

2013

Proceedings of 2013 3rd International Conference on Computer Science and Network Technology

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In this paper, a novel DOA estimation method without angles pre-estimating for Wideband Signals is proposed. The main idea is to design a novel Direction-Free focusing matrix using the decomposed representation of the array manifold matrix, where the angle parameter is separated from the array geometry and the frequency parameter. The focusing matrix is derived using a method similar to RSS. The novel method also uses the Toeplitz approximation algorithm to improve the estimation performance. The proposed method combines the RSS method and Toeplitz approximation algorithm, and does not require initial angles, so it can be called Toep-DFRSS method. The performance of Toep-DFRSS and other major methods is compared through computer simulations. The simulations show that Toep-DFRSS method has a better resolution performance and estimation accuracy than conventional RSS method, especially in the case of low SNR.

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Section: Direction-free Rss Methodsmentioning

confidence: 99%

A novel wideband DOA estimation method using direction-free focusing matrix

Bo¹,

Xiong²,

Luo³

2013

Proceedings of 2013 3rd International Conference on Computer Science and Network Technology

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“…In order to obtain satisfactory results, a large number of sampling snapshots are required for cumulants domain processing. As is well known that the signal covariance matrix R 2 of an ideal ULA is Toeplitz [13], so do R 4 . However, in the case of finite snapshots, the above desired properties cannot be preserved.…”

Section: The Proposed Algorithmmentioning

confidence: 99%

“…Since the similar expression between R 2 and R 4 , we reconstruct a Toeplitz matrix R̂ 4 T from R 4 in the minimum metric distance sense by solving the following optimization problem [13]:

min_{R_{4 T} \in S_{normalT}} ‖ {bold-italicR}_{4 T} - {bold-italicR}_{4} ‖

where S T is the set of Toeplitz matrices. The TAM of [14] demonstrates that the optimal approximating Toeplitz matrix R̂ 4 T has the basic entries given below

{\overset{z}{true}}_{h} = {(2 N - 1 - h + 1)}^{- 1} \sum_{p = 1}^{2 N - 1 - h + 1} {\hat{r}}_{p false(p + h - 1 false)}

where the element r̂ p ( p + h −1) is the p th row and ( p + h − 1)th column of R̂ 4 , h ∈ [1, 2 N − 1].…”

Section: The Proposed Algorithmmentioning

confidence: 99%

An Improved Direction Finding Algorithm Based on Toeplitz Approximation

Wang

Chen

Zhao

et al. 2013

Sensors

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In this paper, a novel direction of arrival (DOA) estimation algorithm called the Toeplitz fourth order cumulants multiple signal classification method (TFOC-MUSIC) algorithm is proposed through combining a fast MUSIC-like algorithm termed the modified fourth order cumulants MUSIC (MFOC-MUSIC) algorithm and Toeplitz approximation. In the proposed algorithm, the redundant information in the cumulants is removed. Besides, the computational complexity is reduced due to the decreased dimension of the fourth-order cumulants matrix, which is equal to the number of the virtual array elements. That is, the effective array aperture of a physical array remains unchanged. However, due to finite sampling snapshots, there exists an estimation error of the reduced-rank FOC matrix and thus the capacity of DOA estimation degrades. In order to improve the estimation performance, Toeplitz approximation is introduced to recover the Toeplitz structure of the reduced-dimension FOC matrix just like the ideal one which has the Toeplitz structure possessing optimal estimated results. The theoretical formulas of the proposed algorithm are derived, and the simulations results are presented. From the simulations, in comparison with the MFOC-MUSIC algorithm, it is concluded that the TFOC-MUSIC algorithm yields an excellent performance in both spatially-white noise and in spatially-color noise environments.

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“…The performance of the DOA estimation methods may deteriorate significantly without array manifold calibration. [1][2][3][4][5][6] In this paper, we focus on the mutual coupling calibration and DOA estimation problem for deterministic signals. Various array calibration methods have been proposed with respect to the mutual coupling effect.…”

Section: Introductionmentioning

confidence: 99%

DOA estimation and mutual coupling calibration with the SAGE algorithm

Xiong¹,

Liu²,

Liu³

et al. 2014

Chinese Journal of Aeronautics

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In this paper, a novel algorithm is presented for direction of arrival (DOA) estimation and array self-calibration in the presence of unknown mutual coupling. In order to highlight the relationship between the array output and mutual coupling coefficients, we present a novel model of the array output with the unknown mutual coupling coefficients. Based on this model, we use the space alternating generalized expectation-maximization (SAGE) algorithm to jointly estimate the DOA parameters and the mutual coupling coefficients. Unlike many existing counterparts, our method requires neither calibration sources nor initial calibration information. At the same time, our proposed method inherits the characteristics of good convergence and high estimation precision of the SAGE algorithm. By numerical experiments we demonstrate that our proposed method outperforms the existing method for DOA estimation and mutual coupling calibration.

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Bearing estimation without calibration for randomly perturbed arrays

Cited by 39 publications

References 4 publications

A novel wideband DOA estimation method using direction-free focusing matrix

A novel wideband DOA estimation method using direction-free focusing matrix

An Improved Direction Finding Algorithm Based on Toeplitz Approximation

DOA estimation and mutual coupling calibration with the SAGE algorithm

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