Closed-Form Expressions for Numerical Evaluation of Self-Impedance Terms Involved on Wire Antenna Analysis by the Method of Moments

Basis function Impedance parameters Quadrature (astronomy) Closed-form expression Constant (computer programming) Basis (linear algebra)
DOI: 10.3390/electronics10111316 Publication Date: 2021-05-31T04:22:15Z
ABSTRACT
This paper proposes new closed expressions of self-impedance using the Method Moments with Point Matching Procedure and piecewise constant linear basis functions in different configurations, which allow saving computing time for solution wire antennas complex geometries. The have complexity O(1) well-defined theoretical bound errors. They were compared an adaptive numerical integration. We obtain accuracy between 7 16 digits depending on chosen function segmentation used. Besides, involved calculation terms was evaluated required by adaptative quadrature integration same problem. Expressions a run-time bounded 50 200 times faster than assuming full computation all expressions.
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