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Single-Snapshot Nested Virtual array Completion: Necessary and Sufficient Conditions

IEEE SIGNAL PROCESSING LETTERS 2022年 29卷 2113-2117页

作者： Sarangi, Pulak Hucumenoglu, Mehmet Can Pal, Piya Univ Calif San Diego Elect & Comp Engn La Jolla CA 92092 USA

We study the problem of completing the virtual array of a nested array with a single snapshot. This involves synthesizing a virtual uniform linear array (ULA) with the same aperture as the nested array by estimating (or interpolating) the missing measurements. A popular approach for virtual array synthesis involves completing a certain Hankel/Toeplitz matrix from partial observations, by seeking low-rank solutions. However, existing theoretical guarantees for such structured rank minimization (which mostly provide sufficient conditions) do not readily extend to nested arrays. We provide the first necessary and sufficient conditions under which it is possible to exactly complete the virtual array of a nested array by minimizing the rank of a certain Toeplitz matrix constructed using a single temporal snapshot. Our results exploit the geometry of nested arrays and do not depend on the source configuration or on the separation between sources.

关键词： Sensor arrays Sparse matrices Sensors Sufficient conditions Minimization interpolation Correlation Sparse arrays Nested Sampling array interpolation Matrix Completion Direction-of-arrival estimation

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Direction finding using beamspace root estimator banks

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 1998年第11期46卷 3131-3135页

作者： Gershman, AB Ruhr Univ Bochum Dept Elect Engn Signal Theory Grp D-4630 Bochum Germany

Motivated by the superior performance and reduced computational complexity of beamspace and root implementations of eigenstructure techniques, a beamspace root modification of pseudorandom joint estimation strategy (PR-JES) is developed. The essence of PR-JES is to generate the eigenstructure-based estimator bank for a given sample covariance or data matrix. Appropriately combining the results of "parallel" underlying estimators, PR-JES removes outliers and improves the threshold performance. In the case of nonuniform array, the interpolated array approach is exploited to enable the application of root underlying techniques. Simulations show that the proposed beamspace root implementation outperforms spectral elementspace PR-JES significantly and achieves the performance similar or better than that of the stochastic maximum likelihood (ML) method.

关键词： array interpolation beamspace preprocessing direction finding estimator banks

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Enhanced DOA Estimation for Moving Platform Based Distributed Phased array

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IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY 2024年第10期73卷 14763-14777页

作者： Wang, Yuanhao Wang, Hongqiang Yang, Qi Fan, Lei Zeng, Yang Natl Univ Def Technol Changsha 410073 Peoples R China

Moving platform based distributed phased array (MDPA) promises a power, resolution and flexibility enhanced radar or communication system while direction of arrival (DOA) estimation is one of the most fundamental applications. However, the ultra-long spacing among each node will generate severe grating lobes. And the isolated nodes will introduce synchronization errors including gain error, phase error and position error. Such problems will impede DOA estimation performance for most existing methods. Here, we find the platform motion itself can be utilized to construct a virtual array to reduce the impact of grating lobes. Hence, a virtual array construction approach with specific platform motion design is proposed. Then, to conquer the gain-phase errors, a modified atomic norm is jointly considered to reconstruct the sample matrix. And a non-integer array interpolation algorithm is proposed to solve the non-integer node position problem caused by the limited platform control accuracy. Simulation based on several typical examples are given to illustrate the efficiency of the proposed method.

关键词： array interpolation array synchronization errors direction of arrival estimation distributed phased array platform motion array interpolation array synchronization errors direction of arrival estimation distributed phased array platform motion

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Generalized Optimization of Sparse Antenna arrays for High-Resolution Automotive Radar Imaging 57

Generalized Optimization of Sparse Antenna Arrays for High-R...

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57th Asilomar Conference on Signals, Systems and Computers

作者： Xu, Lifan Sun, Shunqiao Wu, Ryan Ren, Dongyin Li, Jun Univ Alabama Dept Elect & Comp Engn Tuscaloosa AL 35487 USA NXP Semicond San Jose CA 95134 USA

ISBN: (纸本)9798350325744

Automotive radar with sparse arrays are highly desired, as a sparse array has a smaller number of elements compared to a uniform linear array (ULA) of the same physical aperture size, resulting in lower system cost, increased flexibility, and reduced mutual coupling between antennas. However, this leads to an increase in sidelobes in the angle spectrum and higher signal processing complexity. interpolation techniques can help reduce sidelobe levels, mitigating ambiguity in angle estimation with sparse arrays, and improving the ability to distinguish desired signals from interference. In this paper, we investigate transform matrix optimization technique to interpolate a virtual sparse array (VSA) synthesized by automotive multi-input multi-output (MIMO) radar to a ULA so that high-resolution direction-of-arrival estimation algorithms that are designed for ULA can be applied to VSA to achieve high-resolution radar imaging. Our simulation results in the one dimensional (1D) sparse arrays demonstrate the feasibility and effectiveness of this technique.

关键词： Automotive radar sparse array array interpolation direction-of-arrival estimation

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Fast Forward-Backward Hankel Matrix Completion for Automotive Radar DOA Estimation Using Sparse Linear arrays

Fast Forward-Backward Hankel Matrix Completion for Automotiv...

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IEEE Radar Conference (RadarConf)

作者： Sun, Shunqiao Wen, Yining Wu, Ryan Ren, Dongyin Li, Jun Univ Alabama Dept Elect & Comp Engn Tuscaloosa AL 35487 USA NXP Semicond San Jose CA 95134 USA

ISBN: (纸本)9781665436694

Automotive multiple-input multiple-output (MIMO) radar with sparse linear arrays is a cost-effective solution to achieve large aperture size with low hardware cost and reduced mutual coupling. The challenges associated with automotive MIMO sparse linear arrays are the high sidelobes, which might result in angular detection errors. This paper presents a fast forward-backward Hankel matrix completion and matrix pencil method for joint array interpolation and super-resolution singlesnapshot angle finding by exploiting the structure of Hankel matrix. The novelty of the proposed approach lies in two parts. It not only saves the computational cost of singular value decomposition (SVD) in each iteration of the matrix completion, but also increases the degrees of freedom to construct a low-rank matrix with larger dimensions using the same number antenna elements, as a result of which, more targets can be completed and estimated with better accuracy. Numerical results demonstrate the effectiveness and efficiency of the proposed method.

关键词： Sparse arrays array interpolation forward backward Hankel matrix direction-of-arrival estimation matrix pencil

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Subspace-Based Method for Direction Estimation of Coherent Signals with Arbitrary Linear array 27

Subspace-Based Method for Direction Estimation of Coherent S...

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27th European Signal Processing Conference (EUSIPCO)

作者： Chen, Xiao Xin, Jingmin Zuo, Weiliang Li, Jie Zheng, Nanning Sano, Akira Xi An Jiao Tong Univ Inst Artificial Intelligence & Robot Xian 710049 Peoples R China Xi An Jiao Tong Univ Natl Engn Lab Visual Informat Proc & Applicat Xian 710049 Peoples R China Keio Univ Dept Syst Design Engn Yokohama Kanagawa 2238522 Japan

ISBN: (纸本)9789082797039

In this paper, we propose an interpolated computationally efficient subspace-based method without eigendecomposition (ISUMWE) for the direction-of-arrivals (DOA) estimation of narrowband coherent signals in arbitrary linear arrays. ISUMWE estimates DOA based on the outputs of the virtual array by using an interpolation transform technique. Therefore, it overcomes the common restriction of uniform linear array (ULA) geometry when estimating coherent signals and becomes suitable for more general array geometry than ordinary methods. Meanwhile, the coherency of incident signals is decorrelated through a linear operation of a matrix formed from the cross-correlations between some sensor data in a designed virtual array which can be computed from the linear transformation of sensor data in the real array, where the effect of additive noise is eliminated. Consequently, the DOA can be estimated without performing eigendecomposition, and the noise pre-whitening which is required in traditional interpolation procedure can be avoided. As a result, the ISUMWE extends the application of the original subspace-based method without eigendecomposition (SUMWE) into arbitrary linear array with high accuracy and low computational complexity. The numerical results demonstrate the validity of the proposed method.

关键词： Direction-of-arrival coherent signals computationally efficient array interpolation

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Hybrid-based propagation parameter estimation method using EM/SAGE and Extended MODE algorithm

Hybrid-based propagation parameter estimation method using E...

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IEEE 74th Vehicular Technology Conference (VTC)

作者： Saito, K. Imai, T. Kitao, K. Okano, Y. Miura, S. NTT DOCOMO Inc Hikari No Oka Yokosuka Kanagawa Japan

ISBN: (纸本)9781424483273

MIMO transmission technologies have been investigated and are expected to realize the wide-band and high-speed radio communication in LTE and IMT-A systems. To put those technologies into practical use, the accurate MIMO channel is required. To estimate the propagation parameters of rays from the channel data measured by the channel sounder, the SAGE based estimation algorithms have been used. SAGE algorithm is able to be applied to any patterns of antenna arrays, and can estimate the several propagation parameters such as AoA, AoD, delay and amplitude in parallel. However it has the resolution degrading problem in the case that there are close rays that have the close propagation parameters. In the paper, we propose the novel channel estimation methods. In our proposal, after the global parameter estimation using SAGE algorithm, we extract the signal component of the close rays from the measured data. Then we execute detailed parameter estimation for those rays using MODE based algorithm with the array interpolation. We show the effectiveness of our proposal through the computer simulation.

关键词： propagation parameter estimation DoA estimation EM/SAGE MODE MUSIC array interpolation UCA

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DOA ESTIMATION EXPLOITING INTERPOLATED MULTI-FREQUENCY SPARSE array 11

DOA ESTIMATION EXPLOITING INTERPOLATED MULTI-FREQUENCY SPARS...

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IEEE 11th Sensor array and Multichannel Signal Processing Workshop (SAM)

作者： Zhang, Shuimei Ahmed, Ammar Zhang, Yimin D. Sun, Shunqiao Temple Univ Dept Elect & Comp Engn Philadelphia PA 19122 USA Univ Alabama Dept Elect & Comp Engn Tuscaloosa AL USA

ISBN: (纸本)9781728119465

We consider gridless direction-of-arrival (DOA) estimation of much more targets than the number of physical sensors through the exploitation of multi-frequency sparse array design and processing which increase the degrees of freedom as more frequency components are used. A modified sensor interpolation technique is developed to accurately estimate the signal covariance matrix using very few snapshots, thereby eliminating the requirement of a large number of snapshots as in conventional different coarray-based DOA estimation. Simulation results demonstrate high-resolution gridless DOA estimation capability of more targets than the number of physical sensors.

关键词： Sparse array multi-frequency sensing array interpolation direction-of-arrival estimation

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Beamforming with optimized interpolated microphone arrays

Beamforming with optimized interpolated microphone arrays

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Workshop on Hands-Free Speech Communication and Microphone arrays

作者： Doblinger, Gerhard Vienna Univ Technol Inst Commun & Radio Frequency Engn A-1040 Vienna Austria

ISBN: (纸本)9781424423378

We present an optimization procedure for wideband beamforming with interpolated arrays. We intend to design a beamformer with a compact size. In addition, we want to reduce the number of sensors while maintaining a good beamforming performance. Our beamformers are implemented using FFT filterbanks. Performance is tested under far-field conditions and under sound propagation with simulated room impulse responses. In addition, we study the influence of sensor noise on the beamforming behavior.

关键词： array signal processing array interpolation microphone arrays

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2-D PAIRED DIRECTION-OF-ARRIVAL ANGLE ESTIMATION WITH TWO PARALLEL UNIFORM LINEAR arrayS

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INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL 2011年第6期7卷 3269-3279页

作者： Filik, Tansu Tuncer, T. Engin Middle E Tech Univ Dept Elect & Elect Engn TR-06531 Ankara Turkey

Pairing problem for the azimuth and elevation angles of multiple sources is an important problem in two dimensional (2-D) direction-of-arrival (DOA) estimation. In this paper, a new technique is proposed for fast and automatically paired 2-D DOA estimation. This technique uses the magnitude and phase of the eigenvalues of the rotational transformation matrix of the ESPRIT algorithm. A special array geometry is chosen in order to take advantage of the ESPRIT method. The proposed technique is used in two different ways. In one case, array geometry is selected as two parallel uniform linear arrays (PULA). In the second approach, a virtual PULA is generated by using array interpolation. These two cases are compared in terms of the 2-D DOA estimation. While the PULA composed of the physical elements is a robust structure, virtual PULA has the advantage of decreasing the number of antennas and the following hardware. Several experiments are done and it is shown that both of the cases solve the pairing problem in 2-D DOA estimation effectively.

关键词： 2-D direction-of-arrival (DOA) estimation Pairing problem Two parallel uniform linear arrays (PULAs) ESPRIT array interpolation

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