Characteristic Modes Analysis of Aperiodic Arrays Using Entire Domain Basis Function Method With Adaptive Cross Approximation Algorithm

The characteristic modes of the aperiodic arrays are analyzed by combining the entire domain basis function method with the adaptive cross approximation (ACA) algorithm. The array cells are identical. The entire domain basis functions defined on the array cells are obtained by analyzing the characte...

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Published inIEEE antennas and wireless propagation letters Vol. 22; no. 2; pp. 258 - 262
Main Authors Zhang, He-Qing, Du, Ping, Zhu, Song-Song
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive algorithms
Adaptive arrays
Adaptive cross approximation (ACA) algorithm
aperiodic arrays
Approximation
Approximation algorithms
Arrays
Basis functions
characteristic modes analysis
Costs
Domains
Eigenvalues
Eigenvalues and eigenfunctions
entire domain basis function method
Indexes
Mathematical analysis
Mathematical models
Method of moments
Online AccessGet full text
ISSN1536-1225
1548-5757
DOI10.1109/LAWP.2022.3208282

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Abstract The characteristic modes of the aperiodic arrays are analyzed by combining the entire domain basis function method with the adaptive cross approximation (ACA) algorithm. The array cells are identical. The entire domain basis functions defined on the array cells are obtained by analyzing the characteristic modes of the reference cell firstly. Then, the generalized eigenvalue equation whose size is smaller than the conventional one can be obtained. After solving the equation, the characteristic modes of the whole array can be analyzed. Calculation of the matrices is very time-consuming. To speed up the computation, the ACA algorithm is applied. Several numerical examples are performed. The accuracy and computational efficiency of the proposed technique are validated by simulation results.
AbstractList The characteristic modes of the aperiodic arrays are analyzed by combining the entire domain basis function method with the adaptive cross approximation (ACA) algorithm. The array cells are identical. The entire domain basis functions defined on the array cells are obtained by analyzing the characteristic modes of the reference cell firstly. Then, the generalized eigenvalue equation whose size is smaller than the conventional one can be obtained. After solving the equation, the characteristic modes of the whole array can be analyzed. Calculation of the matrices is very time-consuming. To speed up the computation, the ACA algorithm is applied. Several numerical examples are performed. The accuracy and computational efficiency of the proposed technique are validated by simulation results.
Author Du, Ping
Zhang, He-Qing
Zhu, Song-Song
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SubjectTerms Adaptive algorithms
Adaptive arrays
Adaptive cross approximation (ACA) algorithm
aperiodic arrays
Approximation
Approximation algorithms
Arrays
Basis functions
characteristic modes analysis
Costs
Domains
Eigenvalues
Eigenvalues and eigenfunctions
entire domain basis function method
Indexes
Mathematical analysis
Mathematical models
Method of moments
Title Characteristic Modes Analysis of Aperiodic Arrays Using Entire Domain Basis Function Method With Adaptive Cross Approximation Algorithm
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