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Robust Beamforming and DOA Estimation [chapter]

Liu Congfeng
2012 Fourier Transform Applications  
Ta.S.L proposed a novel iterative implementation of beamspace root-form methods without the need for large-order polynomial rooting [52] .  ...  In the case where a uniform linear array (ULA) is employed, the null-spectrum searching can be converted into a polynomial rooting problem.  ...  Polynomial coefficient finding From (3.44) and (3.45) , we obtain the polynomial of RVED-Root-MUSIC, which is a function of z . The next thing is finding the coefficient of the polynomial [56] ..  ... 
doi:10.5772/36266 fatcat:gg5jey5fyrfbbfxei44wemgcgi

Root-MUSIC-based azimuth-elevation angle-of-arrival estimation with uniformly spaced but arbitrarily oriented velocity hydrophones

K.T. Wong, M.D. Zoltowski
1999 IEEE Transactions on Signal Processing  
Index Terms-Array signal processing, blind estimation, estimation of direction of arrival, sonar arrays, sonar tracking, underwater acoustic arrays.  ...  directions of arrival.  ...  The inherent directivity of velocity hydrophones allows simultaneous estimation of both the azimuth and the elevation arrival angles with only a one-dimensional (1-D) (linear) array of diversely oriented  ... 
doi:10.1109/78.806070 fatcat:ppjg6jf4hzfanbjbe7thvccnkq

DIRECTION OF ARRIVAL ESTIMATION FOR NONUNIFORM PLANAR ARRAY BASED ON PIECEWISE INTERPOLATION METHOD

Wael Sabry Elshennawy, Ahmed Mohamed Attiya, Essam A. Hashish, Islam A. Eshrah
2012 Progress in Electromagnetics Research B  
The problem of direction-of-arrival (DOA) estimation by using spectral search for a non-uniform planar array is addressed.  ...  This property reduces the computational complexity compared with line-search methods for DOA estimation.  ...  Unlike MUSIC method which is applicable to general array configurations, Root-MUSIC is restricted to uniform linear arrays.  ... 
doi:10.2528/pierb11121412 fatcat:kc25rsgddfef7axlhfqwbzzaiu

Single Snapshot Super-Resolution DOA Estimation for Arbitrary Array Geometries [article]

A. Govinda Raj, J.H. McClellan
2018 arXiv   pre-print
We extend a method of searchfree super-resolution beamforming, originally applicable only for uniform linear arrays, to arrays of arbitrary geometry.  ...  We address the problem of search-free direction of arrival (DOA) estimation for sensor arrays of arbitrary geometry under the challenging conditions of a single snapshot and coherent sources.  ...  1 We prefer to study a m (θ) as a function of θ. On the other hand, at a specific angle θ 1 , [a m (θ 1 )] ∈ C M is the steering vector for direction θ 1 .  ... 
arXiv:1810.00017v1 fatcat:3d3kyx4hkzdwplhxju6zae5c6q

Super-Resolution DOA Estimation for Arbitrary Array Geometries Using a Single Noisy Snapshot [article]

A. Govinda Raj, J.H. McClellan
2019 arXiv   pre-print
We address the problem of search-free DOA estimation from a single noisy snapshot for sensor arrays of arbitrary geometry, by extending a method of gridless super-resolution beamforming to arbitrary arrays  ...  DOA estimates are obtained via polynomial rooting followed by a LASSO based approach to remove extraneous roots arising in root finding from noisy data, and then source amplitudes are recovered by least  ...  INTRODUCTION Direction-of-arrival (DOA) estimation can be very challenging when snapshots are limited and sources are coherent as in the case of fast moving sources and multipath arrivals.  ... 
arXiv:1903.10876v1 fatcat:7egfeip6uvcepihreclfhu2wse

A Computationally Efficient Estimation Algorithm for Direction of Arrival in Double Parallel Linear Array

Guicai Yu
2020 Traitement du signal  
To simplify subspace algorithms, this paper proposes a fast one-dimensional (1D) DOA estimation algorithm for double parallel linear array (DPLA).  ...  Keywords : direction of arrival (DOA), double parallel linear array (DPLA), joint cross-covariance matrix (JCCM), root-multiple signal classification (MUSIC) algorithm 1 ( ), 2 ( ), . . . , ( ) are incident  ...  [15] created the single snapshot algorithm for large arrays, which divides a large array into multiple subarrays for DOA estimation.  ... 
doi:10.18280/ts.370311 fatcat:rmdbowdlbngmdoidween73argy

Fast sequential source localization using the Projected Companion Matrix approach

Mohammed Nabil El Korso, Remy Boyer, Sylvie Marcos
2009 2009 3rd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)  
On the other hand, for linear equispaced sensor array, the root-MUSIC algorithm is a fast and accurate high-resolution scheme which also avoids the delicate search of multiple maxima but a sequential scheme  ...  Thus, we present a new sequential high-resolution estimation method, called the Projected Companion Matrix MUSIC (PCM-MUSIC) method, in the context of source localisation in the case of linear equispaced  ...  On the other hand, for linear equispaced sensor array, the root-MUSIC algorithm [9] is based on the diagonalization of the companion matrix associated with a polynomial derived from the noise projector  ... 
doi:10.1109/camsap.2009.5413288 fatcat:vpaxvtdj3jgijlk53mrl7nv2im

Grid-free compressive beamforming

Angeliki Xenaki, Peter Gerstoft
2015 Journal of the Acoustical Society of America  
The direction-of-arrival (DOA) estimation problem involves the localization of a few sources from a limited number of observations on an array of sensors, thus it can be formulated as a sparse signal reconstruction  ...  The grid-free CS reconstruction provides high-resolution imaging even with non-uniform arrays, single-snapshot data and under noisy conditions as demonstrated on experimental towed array data.  ...  INTRODUCTION Sound source localization with sensor arrays involves the estimation of the direction-of-arrival (DOA) of (usually a few) sources from a limited number of observations.  ... 
doi:10.1121/1.4916269 pmid:25920844 fatcat:244xdnlqbfholnltqonkswxdsi

Direction Finding for Bistatic MIMO Radar with Uniform Circular Array

Cao Yunhe, Zhang Zijing, Wang Shenghua, Dai Fengzhou
2013 International Journal of Antennas and Propagation  
A method of direction of arrival (DOA) and direction of departure (DOD) angle estimation based on polynomial rooting for bistatic multiple-input multiple-output (MIMO) radar with uniform circular array  ...  Finally, a two-step polynomial rooting is used to estimate DOA and DOD of targets instead of two-dimensional multiple signal classification (MUSIC) search method for bistatic UCA MIMO radar.  ...  Acknowledgments This work was supported in part by the National Natural Science Foundation of China (61372136, 61172137, and 61271290) and in part by the Fundamental Research Funds for the Central Universities  ... 
doi:10.1155/2013/674878 fatcat:lqtslvmo5jcj7jh44kgxn4r3x4

FAST ROOT-MUSIC ALGORITHM BASED ON NYSTROM METHOD AND SPECTRAL FACTORIZATION

Xiaoyu Liu, Junli Chen, Lveqiu Xu
2018 Progress In Electromagnetics Research Letters  
A fast Root-MUSIC algorithm based on Nyström method and spectral factorization is proposed.  ...  At the same time, the polynomial coefficients of the Root-MUSIC based on the Nyström method are conjugated, and the order of the polynomial is reduced by half when using iterative operations.  ...  Due to the demand for real-time processing of signals, fast DOA estimation has been a hot topic for DOA estimation.  ... 
doi:10.2528/pierl18060301 fatcat:onckj33otvatrah4rzke7b57vu

Utilizing Principal Singular Vectors for 2D DOA Estimation in Single Snapshot Case with Uniform Rectangular Array

Yuntao Wu, Xiaobing Pei, Hing Cheung So
2015 International Journal of Antennas and Propagation  
The problem of azimuth and elevation directions of arrival (DOAs) estimation using a uniform rectangular array (URA) in single snapshot case is addressed in this paper.  ...  Using the principal singular vectors of the observed data matrix, an iterative procedure based on the linear prediction property, and weighted least squares is proposed for finding the DOAs with lower  ...  Acknowledgments The work described in this paper was jointly supported by a grant from the National Natural Science Foundation of China (Project no. 61172156), the Program for New Century Excellent Talents  ... 
doi:10.1155/2015/681251 fatcat:7tef4csp3vg2xfbfczmfwcl7wu

Low-degree root-MUSIC algorithm for fast DOA estimation based on variable substitution technique

Fenggang Yan, Ming Jin, Hongjuan Zhou, Jun Wang, Shuai Liu
2019 Science China Information Sciences  
Low-degree root-MUSIC algorithm for fast DOA estimation based on variable substitution technique. Sci China Inf Sci, 2020, 63(5): 159206, https://doi.  ...  Acknowledgements This work was supported by National Natural Science Foundation of China (Grant No. 61871149).  ...  Dear editor, U-root-MUSIC [1] is one of the most popular unitary direction of arrival (DOA) estimation methods [2] , and its eigenvalue decomposition (EVD) stage involves only real-valued (RV) arithmetic  ... 
doi:10.1007/s11432-018-9635-0 fatcat:2xmsqby4ovagbcwulewz2p3zli

Performance evaluation of direction-finding techniques of an acoustic source with uniform linear array

Syed Farid Uddin, Ayan Alam Khan, Mohd Wajid, Mahima Singh, Faisal Alam
2021 Frontiers in Engineering and Built Environment  
PurposeThe purpose of this paper is to show a comparative study of different direction-of-arrival (DOA) estimation techniques, namely, multiple signal classification (MUSIC) algorithm, delay-and-sum (DAS  ...  in root mean square angular error (RMSAE) values are plotted using different DOA estimation techniques at different signal-to-noise-ratio (SNR) values as 10, 14, 18, 22 and 26dB.  ...  FEBE Signal model for uniform linear array A uniform linear array (ULA) of M number of microphones is used as a receiver, where two adjacent array microphones are separated by a distance, d.  ... 
doi:10.1108/febe-09-2021-0045 fatcat:tmospngik5fmnlomkrymxylfwq

Direction-of-Arrival Estimation Methods: A Performance-Complexity Tradeoff Perspective

Edno Gentilho, Paulo Rogerio Scalassara, Taufik Abrão
2019 Journal of Signal Processing Systems  
This work analyses the performance-complexity tradeoff for different direction of arrival (DoA) estimation techniques.  ...  Such tradeoff is investigated taking into account uniform linear array structures.  ...  With linear arrays it is possible to detect or estimate the direction (angle) of arrival of the signal in one dimension (1D), while with planar arrays it is possible to detect / estimate two dimensions  ... 
doi:10.1007/s11265-019-01467-4 fatcat:mnrr2pd7ivbihnuh7lbprk6c5a

Direction-of-Arrival Estimation for Arbitrary Array: Combining Spatial Annihilating and Manifold Separation

Y. Pan, J. Zhang, Z. Qi
2019 Radioengineering  
In this paper, we address the problem of directionof-arrival (DOA) estimation with the arbitrary array.  ...  The manifold separation technique (MST) is employed to transform the arbitrary array into a virtual array with Vandermonde manifold on which the spatial annihilating filter reconstruction method can be  ...  Acknowledgments This work was supported in part by the National Natural Science Foundation of China under contract of 61701145 and the project fund of CEMEE under Contract of CEMEE2018K0301A.  ... 
doi:10.13164/re.2019.0283 fatcat:o6dpqo6izjdztpzarikihsi2hq
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