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Closed-Form Blind 2D-DOD and 2D-DOA Estimation for MIMO Radar with arbitrary arrays

WIRELESS PERSONAL COMMUNICATIONS 2013年第1期69卷 175-186页

作者： Li, Jianfeng Zhang, Xiaofei Nanjing Univ Aeronaut & Astronaut Coll Elect & Informat Engn Nanjing 210016 Jiangsu Peoples R China

In this paper, we study the problem of four-dimensional angle estimation for bistatic multiple-input multiple-output (MIMO) radar with arbitrary arrays, and propose a close-form joint two-dimensional direction of departure and two-dimensional direction of arrival estimation algorithm. Our work is to extend the estimation of signal parameters via rotational invariance techniques (ESPRIT) algorithm to angle estimation in MIMO-radar with arbitrary arrays. The algorithm can achieve automatically paired four-dimensional angles, requires no peak searching, has low complexity, and does not need to compensate for the phase. Furthermore, the proposed algorithm has much better angle estimation performance than the interpolated ESPRIT algorithm and propagator method. We also analyze and derive the complexity of the algorithm and the Cramer-Rao bound. The simulation results verify the effectiveness of the algorithm.

关键词： MIMO radar arbitrary array Four-dimensional angle estimation Estimation of signal parameters via rotational invariance techniques (ESPRIT) Cramer-Rao bound (CRB)

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A low-complexity joint 2D-DOD and 2D-DOA estimation algorithm for MIMO radar with arbitrary arrays

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INTERNATIONAL JOURNAL OF ELECTRONICS 2013年第10期100卷 1455-1469页

作者： Chen, Chen Zhang, Xiaofei Nanjing Univ Aeronaut & Astronaut Coll Elect & Informat Engn Nanjing 210016 Jiangsu Peoples R China Nanjing Panda Elect Grp Nanjing 210002 Jiangsu Peoples R China Xiamen Univ Key Lab Underwater Acoust Commun & Marine Informa Xiamen 361005 Peoples R China

In this article, we study the problem of four-dimensional angles estimation for bistatic multiple-input multiple-output (MIMO) radar with arbitrary arrays, and propose a joint two-dimensional direction of departure (2D-DOD) and two-dimensional direction of arrival (2D-DOA) estimation algorithm. Our algorithm is to extend the propagator method (PM) for angle estimation in MIMO radar. The proposed algorithm does not require peak searching and eigenvalue decomposition of received signal covariance matrix, because of this, it has low computational complexity. And it can achieve automatic pairing of four-dimensional angles. Furthermore, the proposed algorithm has much better angle estimation performance than interpolated estimation method of signal parameters via rotational invariance techniques (ESPRIT), and has very close angle estimation performance to ESPRIT-like algorithm which has higher computational cost than the proposed algorithm. We also analyze the complexity and angle estimation error of the algorithm, and derive the Cramer-Rao bound (CRB). The simulation results verify the effectiveness and improvement of the proposed algorithm.

关键词： MIMO radar arbitrary array four-dimensional angle estimation low-complexity error analysis

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Super-Resolution Channel Estimation for arbitrary arrays in Hybrid Millimeter-Wave Massive MIMO Systems

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IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING 2019年第5期13卷 947-960页

作者： Wang, Yue Zhang, Yu Tian, Zhi Leus, Geert Zhang, Gong George Mason Univ Dept Elect & Comp Engn Fairfax VA 22030 USA Nanjing Univ Aeronaut & Astronaut Key Lab Radar Imaging & Microwave Photon Minist Educ Nanjing 211100 Jiangsu Peoples R China Delft Univ Technol Fac Elect Engn Math & Comp Sci NL-2826 CD Delft Netherlands

This paper develops efficient channel estimation techniques for millimeter-wave (mmWave) massive multiple-input multiple-output (MIMO) systems under practical hardware limitations, including an arbitrary array geometry and a hybrid hardware structure. Taking on an angle-based approach, this work adopts a generalized array manifold separation approach via Jacobi-Anger approximation, which transforms a non-ideal, non-uniform array manifold into a virtual array domain with a desired uniform geometric structure to facilitate super-resolution angle estimation and channel acquisition. Accordingly, structure-based optimization techniques are developed to effectively estimate both the channel covariance and the instantaneous channel state information (CSI) within a short sensing time. The different time-varying scales of channel path angles versus path gains are capitalized to design a two-step CSI estimation scheme that can quickly sense fading channels. Theoretical results are provided on the fundamental limits of the proposed technique in terms of sample efficiency. For computational efficiency, a fast iterative algorithm is developed via the alternating direction method of multipliers. Other related issues such as spurious-peak cancellation in non-uniform linear arrays and extensions to higher-dimensional cases are also discussed. Simulations testify the effectiveness of the proposed approaches in hybrid mmWave massive MIMO systems with arbitrary arrays.

关键词： arbitrary array gridless compressive sensing hybrid structure Jacobi-Anger approximation mmWave massive MIMO super-resolution channel estimation Vandermonde structure

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Fast root-MUSIC for arbitrary arrays

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ELECTRONICS LETTERS 2010年第2期46卷 174-175页

作者： Zhuang, J. Li, W. Manikas, A. Univ London Imperial Coll Sci Technol & Med Dept Elect & Elect Engn London SW7 2AZ England Univ Elect Sci & Technol China Sch Commun & Informat Engn Chengdu 610054 Peoples R China

By using the manifold separation techniques, root-MUSIC designed for uniform linear arrays has been extended to arbitrary geometries at the cost of increased computational complexity. A fast algorithm is proposed that exploits the Laurent structure of the polynomial to conduct fast spectral factorisation via the Schur algorithm. Then Arnoldi iteration is employed to compute only a few of the largest eigenvalues. This implies that a large number of the unwanted eigenvalues (or roots) are exempt from the calculation and therefore the computational complexity is reduced significantly.

关键词： Arnoldi iteration Schur algorithm arbitrary array arbitrary geometry array signal processing computational complexity computational complexity eigenvalues eigenvalues and eigenfunctions fast root-MUSIC iterative methods manifold separation technique polynomial Laurent structure polynomials spectral factorisation uniform linear array

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Angle-Based Channel Estimation with arbitrary arrays

Angle-Based Channel Estimation with Arbitrary Arrays

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IEEE Global Communications Conference (IEEE GLOBECOM)

作者： Wang, Yue Zhang, Yu Tian, Zhi Leus, Geert Zhang, Gong George Mason Univ Dept ECE Fairfax VA 22030 USA Nanjing Univ Aeronaut & Astronaut Coll EIE Nanjing Peoples R China Delft Univ Technol Fac EEMCS Delft Netherlands

ISBN: (纸本)9781728109626

This paper aims at accurate channel estimation for millimeter-wave (mmWave) massive multiple-input multiple-output (MIMO) systems under practical limitations, including an arbitrary array geometry and a hybrid hardware structure. Taking on an angle-based approach, this work adopts a generalized array manifold separation approach via the Jacobi-Anger approximation, which transforms a non-ideal, non-uniform array manifold into a virtual array domain with a desired uniform geometric structure to facilitate super-resolution angle estimation and channel acquisition. Accordingly, structure-based optimization techniques are developed to estimate the channel parameters within a short sensing time. In particular, the difference in time-variation of path angles and path gains is capitalized to design a two-step scheme that can quickly sense fading channels. Theoretical results are provided on the fundamental limits of the proposed technique in terms of sample efficiency. Simulations testify the effectiveness of the proposed approaches.

关键词： arbitrary array channel estimation gridless compressive sensing hybrid mmWave massive MIMO Jacobi-Anger approximation

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A Novel Calibration Algorithm with Auxiliary Signal Source for Sensor array Errors 7

A Novel Calibration Algorithm with Auxiliary Signal Source f...

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7th International Congress on Image and Signal Processing (CISP)

作者： Ren, Kaiqiang Deng, Bing Southwest Inst Elect & Telecommun Natl Key Lab Blind Signal Proc Chengdu 610041 Peoples R China

ISBN: (纸本)9781479958351

The presence of sensor array errors due to mutual coupling and channel mismatch among array sensors severely degrades the performance of direction-of-arrival (DOA) estimation algorithms. This paper proposes a novel sensor array errors calibration algorithm based on iterative least squares with projection (ILSP) algorithm, which suits for arbitrary array and only needs one auxiliary signal source. This algorithm firstly estimates the true steering vector by using ILSP, then estimates the sensor array errors by solving the equation between the nominal steering vector and the true steering vector. Comparative computer simulation results are presented to illustrate that the proposed algorithm still has lower computational complexity and higher calibration accuracy on the condition of less snapshots and minor DOA intervals of different sampling time.

关键词： arbitrary array array errors calibration ILSP

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Fast multi-parameter estimation and localization for MIMO radar

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Journal of Systems Engineering and Electronics 2015年第3期26卷 486-492页

作者： Lingyun Xu Xiaofei Zhang Miao Yu College of Science Nanjing University of Aeronautics and Astronautics Nanjing Telecommunication Technology Institute

This paper addresses the problem of four-dimensional angle and Doppler frequency estimation for bistatic multiple-input multiple-output （MIMO） radar with arbitrary arrays in spatial co- lored noise. A novel method for joint estimation of Doppler fre- quency, two-dimensional （2D） direction of departure and 2D direc- tion of arrival based on the propagator method （PM） for arbitrary arrays is discussed. A special matrix is constructed to eliminate the influence of spatial colored noise. The four-dimensional （4D） angle and Doppler frequency are extracted from the matrix and the three- dimensional （3D） coordinates of the targets are then calculated on the basis of these angles. The proposed algorithm provides a lower computational complexity and has a parameter estimation very close to that of the ESPRIT algorithm and the DOA-matrix al- gorithm in the high signal to noise ratio and the Cramer-Rao bound （CRB） is given. Furthermore, multi-dimensional parameters can be automatically paired by this algorithm to avoid performance degra- dation resulting from wrong pairing. Simulation results demonstrate the effectiveness of the proposed method.

关键词： four-dimensional (4D) angle estimation Doppler frequency estimation propagator method (PM) multiple-input multiple-output (MIMO) radar arbitrary array spatial colored noise.

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Broadband DOA Estimation Using Sensor arrays on Complex-Shaped Rigid Bodies

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IEEE TRANSACTIONS ON AUDIO SPEECH AND LANGUAGE PROCESSING 2013年第8期21卷 1573-1585页

作者： Talagala, Dumidu S. Zhang, Wen Abhayapala, Thushara D. Australian Natl Univ Appl Signal Proc Grp Res Sch Engn Coll Engn & Comp Sci Canberra ACT 0200 Australia

Sensor arrays mounted on complex-shaped rigid bodies are a common feature in many practical broadband direction of arrival (DOA) estimation applications. The scattering and reflections caused by these rigid bodies introduce complexity and diversity in the frequency domain of the channel transfer function, which presents several challenges to existing broadband DOA estimators. This paper presents a novel high resolution broadband DOA estimation technique based on signal subspace decomposition. We describe how broadband signals can be decomposed into narrow subband components, and combined such that the frequency domain diversity is retained. The DOA estimation performance is compared with existing techniques using a uniform circular array and a sensor array on a hypothetical rigid body. An improvement in closely spaced source resolution of up to 6 dB is observed for the sensor array on the hypothetical rigid body, in comparison to the uniform circular array. The results suggest that frequency domain diversity, introduced by complex-shaped rigid bodies, can provide higher resolution and clearer separation of closely spaced broadband sound sources.

关键词： arbitrary array array signal processing direction of arrival (DOA) head related transfer function (HRTF) MUSIC source localization

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Visibility Domain Direction-of-Arrival Optimization for arbitrary 2-D arrays

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IEEE ACCESS 2022年 10卷 21646-21654页

作者： Bruce, Nicholas Stacey, Jeff Driessen, Peter F. Univ Victoria Dept Elect & Comp Engn Victoria BC V8W 2Y2 Canada

A visibility-modelling based method is introduced to determine the elevation and azimuth angles for a signal received at a quasi-randomly arranged (2-D) array. The method is optimal for the number of antennas when the array is configured such that no antenna baselines are repeated. Simulation shows that our method has comparable accuracy to subspace-based acrlong doa algorithms like acrfull music and measured data shows that it is both more accurate and faster than visibility based methods like acrlong ra all-sky imaging.

关键词： Antenna arrays Imaging Direction-of-arrival estimation Geometry Radio astronomy Multiple signal classification array signal processing arbitrary array direction of arrival model fitting music spatial frequency visibility

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A PARALIND Decomposition-Based Coherent Two-Dimensional Direction of Arrival Estimation Algorithm for Acoustic Vector-Sensor arrays

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SENSORS 2013年第4期13卷 5302-5316页

作者： Zhang, Xiaofei Zhou, Min Li, Jianfeng Nanjing Univ Aeronaut & Astronaut Coll Elect & Informat Engn Nanjing 210016 Peoples R China Nanjing Panda Elect Grp Nanjing 210008 Peoples R China Nanjing Univ Lab Modern Acoust Minist Educ Nanjing 210093 Jiangsu Peoples R China

In this paper, we combine the acoustic vector-sensor array parameter estimation problem with the parallel profiles with linear dependencies (PARALIND) model, which was originally applied to biology and chemistry. Exploiting the PARALIND decomposition approach, we propose a blind coherent two-dimensional direction of arrival (2D-DOA) estimation algorithm for arbitrarily spaced acoustic vector-sensor arrays subject to unknown locations. The proposed algorithm works well to achieve automatically paired azimuth and elevation angles for coherent and incoherent angle estimation of acoustic vector-sensor arrays, as well as the paired correlated matrix of the sources. Our algorithm, in contrast with conventional coherent angle estimation algorithms such as the forward backward spatial smoothing (FBSS) estimation of signal parameters via rotational invariance technique (ESPRIT) algorithm, not only has much better angle estimation performance, even for closely-spaced sources, but is also available for arbitrary arrays. Simulation results verify the effectiveness of our algorithm.

关键词： arbitrary array acoustic vector-sensor coherent angle estimation PARALIND decomposition

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