{"title":"基于非线性互耦合模型的精确参数解析流形","authors":"Shuoshuo Song;Xiaofeng Ma;Binyun Yan;Ting Shu","doi":"10.1109/LAWP.2025.3576818","DOIUrl":null,"url":null,"abstract":"The precise mutual coupling model is the key to obtain an accurate parametric analytic manifold, which is the prerequisite to achieve superresolution direction of arrival estimation and high-precision beamforming. The widely used mutual coupling model is linear and cannot describe the direction-dependent characteristics of mutual coupling, which leads to serious performance deterioration of array signal processing algorithms. In this letter, a new nonlinear mutual coupling model named high-order broad mutual coupling matrix (MCM) is established based on the Taylor expansion to describe the directional-dependent coupling relationship between two adjacent antenna elements. Then, an accurate parametric analytic manifold using a finite-order approximation of the high-order broad MCM is yielded by the antenna pattern reconstruction method. Numerical examples verify that the array manifold reconstruction errors can be reduced exponentially by the proposed parametric analytic manifold. Especially when the piecewise fitting strategy is adopted, the reconstruction errors of the fourth-order approximated analytic manifold can be reduced to less than 1% of those of the conventional array manifold.","PeriodicalId":51059,"journal":{"name":"IEEE Antennas and Wireless Propagation Letters","volume":"24 9","pages":"2904-2908"},"PeriodicalIF":4.8000,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Accurate Parametric Analytic Manifold Using a Nonlinear Mutual Coupling Model\",\"authors\":\"Shuoshuo Song;Xiaofeng Ma;Binyun Yan;Ting Shu\",\"doi\":\"10.1109/LAWP.2025.3576818\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The precise mutual coupling model is the key to obtain an accurate parametric analytic manifold, which is the prerequisite to achieve superresolution direction of arrival estimation and high-precision beamforming. The widely used mutual coupling model is linear and cannot describe the direction-dependent characteristics of mutual coupling, which leads to serious performance deterioration of array signal processing algorithms. In this letter, a new nonlinear mutual coupling model named high-order broad mutual coupling matrix (MCM) is established based on the Taylor expansion to describe the directional-dependent coupling relationship between two adjacent antenna elements. Then, an accurate parametric analytic manifold using a finite-order approximation of the high-order broad MCM is yielded by the antenna pattern reconstruction method. Numerical examples verify that the array manifold reconstruction errors can be reduced exponentially by the proposed parametric analytic manifold. Especially when the piecewise fitting strategy is adopted, the reconstruction errors of the fourth-order approximated analytic manifold can be reduced to less than 1% of those of the conventional array manifold.\",\"PeriodicalId\":51059,\"journal\":{\"name\":\"IEEE Antennas and Wireless Propagation Letters\",\"volume\":\"24 9\",\"pages\":\"2904-2908\"},\"PeriodicalIF\":4.8000,\"publicationDate\":\"2025-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Antennas and Wireless Propagation Letters\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/11024166/\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Antennas and Wireless Propagation Letters","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/11024166/","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Accurate Parametric Analytic Manifold Using a Nonlinear Mutual Coupling Model
The precise mutual coupling model is the key to obtain an accurate parametric analytic manifold, which is the prerequisite to achieve superresolution direction of arrival estimation and high-precision beamforming. The widely used mutual coupling model is linear and cannot describe the direction-dependent characteristics of mutual coupling, which leads to serious performance deterioration of array signal processing algorithms. In this letter, a new nonlinear mutual coupling model named high-order broad mutual coupling matrix (MCM) is established based on the Taylor expansion to describe the directional-dependent coupling relationship between two adjacent antenna elements. Then, an accurate parametric analytic manifold using a finite-order approximation of the high-order broad MCM is yielded by the antenna pattern reconstruction method. Numerical examples verify that the array manifold reconstruction errors can be reduced exponentially by the proposed parametric analytic manifold. Especially when the piecewise fitting strategy is adopted, the reconstruction errors of the fourth-order approximated analytic manifold can be reduced to less than 1% of those of the conventional array manifold.
期刊介绍:
IEEE Antennas and Wireless Propagation Letters (AWP Letters) is devoted to the rapid electronic publication of short manuscripts in the technical areas of Antennas and Wireless Propagation. These are areas of competence for the IEEE Antennas and Propagation Society (AP-S). AWPL aims to be one of the "fastest" journals among IEEE publications. This means that for papers that are eventually accepted, it is intended that an author may expect his or her paper to appear in IEEE Xplore, on average, around two months after submission.