{"title":"Coupling-Informed Data-Driven Scheme for Joint Angle and Frequency Estimation in Uniform Linear Array With Mutual Coupling Present","authors":"Yanming Zhang;Wenchao Xu;A-Long Jin;Min Li;Peifeng Ma;Lijun Jiang;Steven Gao","doi":"10.1109/TAP.2024.3485251","DOIUrl":null,"url":null,"abstract":"This article proposes a novel coupling-informed data-driven algorithm tailored for the concurrent estimation of frequency and angle within a uniform linear array (ULA), while addressing the complicating influence of mutual coupling. Leveraging the hybrid dynamic mode decomposition (DMD) methodology, termed as averaged DMD, we incorporate moving average techniques to achieve effective denoising. The averaged DMD further decomposes the received signal into eigenvalues and corresponding eigenvectors. The frequency information is derived from the eigenvalues and the corresponding eigenvectors represent the steering vectors of sources. Subsequently, mutual coupling is informed into the calibration of the steering vector for each source. Specifically, the calibration of corresponding eigenvectors leverages the inverse of the mutual coupling matrix, i.e., Toeplitz matrix, acquired through Schur decomposition. Then, the calibrated steering vectors facilitate the estimation of angles. The decomposition results of our proposed method reveal a significant one-to-one correspondence between eigenvectors and eigenvalues, enabling automatic pairing of estimated frequencies and angles. Several numerical examples demonstrate the effectiveness and robust anti-noise properties of the proposed method, especially in scenarios where mutual coupling has a significant impact. Hence, our work contributes to the advancement of signal processing techniques in ULA applications, offering a promising avenue for enhanced performance in practical communication and radar systems.","PeriodicalId":13102,"journal":{"name":"IEEE Transactions on Antennas and Propagation","volume":"72 12","pages":"9117-9128"},"PeriodicalIF":4.6000,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10738292","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Antennas and Propagation","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10738292/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
This article proposes a novel coupling-informed data-driven algorithm tailored for the concurrent estimation of frequency and angle within a uniform linear array (ULA), while addressing the complicating influence of mutual coupling. Leveraging the hybrid dynamic mode decomposition (DMD) methodology, termed as averaged DMD, we incorporate moving average techniques to achieve effective denoising. The averaged DMD further decomposes the received signal into eigenvalues and corresponding eigenvectors. The frequency information is derived from the eigenvalues and the corresponding eigenvectors represent the steering vectors of sources. Subsequently, mutual coupling is informed into the calibration of the steering vector for each source. Specifically, the calibration of corresponding eigenvectors leverages the inverse of the mutual coupling matrix, i.e., Toeplitz matrix, acquired through Schur decomposition. Then, the calibrated steering vectors facilitate the estimation of angles. The decomposition results of our proposed method reveal a significant one-to-one correspondence between eigenvectors and eigenvalues, enabling automatic pairing of estimated frequencies and angles. Several numerical examples demonstrate the effectiveness and robust anti-noise properties of the proposed method, especially in scenarios where mutual coupling has a significant impact. Hence, our work contributes to the advancement of signal processing techniques in ULA applications, offering a promising avenue for enhanced performance in practical communication and radar systems.
期刊介绍:
IEEE Transactions on Antennas and Propagation includes theoretical and experimental advances in antennas, including design and development, and in the propagation of electromagnetic waves, including scattering, diffraction, and interaction with continuous media; and applications pertaining to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques