NDLI: Hybrid Tikhonov source current reconstruction method for large-scale problems

Content Provider	IET Digital Library
Author	Bod, Mohammad Sarraf, Reza Moradi, Gholamreza Jafargholi, Amir Moallemizadeh, Amir
Abstract	Source current reconstruction method (SRM) is a field transformation technique in which the equivalent currents at the antenna aperture are reconstructed from the known radiated fields. To stabilise SRM equations and reduce the effect of measurement errors and noise, the Tikhonov SRM has been frequently used. However, finding the regularisation parameter and solving the Tikhonov SRM equation have a high computational cost especially for large-scale problems or in the presence of both electric and magnetic currents. Here, a hybrid regularised least-square minimum residual (LSMR) technique is proposed to implement the Tikhonov SRM equation. In this method, the Tikhonov SRM is applied on the Krylov subspace that is created by the LSMR iterative solver. The regularisation parameter of the hybrid Tikhonov equation is determined at each iteration of the projected problem with the generalised cross-validation method. Results of current reconstruction and near-field/far-field transformation with the proposed hybrid Tikhonov SRM are reported in this study and compared with the standard Tikhonov SRM. It is shown in both simulation and measurement examples that a significant improvement in the computational cost is realised with the proposed hybrid method while all of the benefits of the traditional method are preserved.
Starting Page	77
Ending Page	81
Page Count	5
ISSN	17518725
Volume Number	12
e-ISSN	17518733
Issue Number	Issue 1, Jan (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-map/12/1
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-map.2017.0264
Journal	IET Microwaves, Antennas & Propagation
Publisher Date	2017-09-13
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Antenna Aperture Antenna Theory Aperture Antenna Computational Cost Constant Current Sources Electric Currents Field Transformation Technique Generalised Cross-validation Method Hybrid Regularised Least-square Minimum Residual Technique Hybrid Tikhonov Source Current Reconstruction Method Interpolation And Function Approximation Iterative Method Least Squares Approximation LSMR Iterative Solver Magnetic Current Measurement Error Measurement Error Reduction Measurement Noise Reduction Near-field-far-field Transformation Numerical Analysis Regularisation Parameter Tikhonov SRM Equation
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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