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Applying biorthogonal and orthogonal wavelets basis functions to the method of moments for modeling the helix antenna
Journal of Electromagnetic Waves and Applications ( IF 1.2 ) Pub Date : 2020-12-10
Mohamed Bayjja, Gamil Alsharahi, Lahcen Amhaimar, Naima Amar Touhami, Mohamed Aghoutane

An efficient moment-method algorithm for analyzing helix antenna is presented. This algorithm is developed based on solving the helix integral equations using two categories of continuous wavelets-like basis functions, Biorthogonal and Orthogonal wavelets. In the first part, the current in the helix antenna is obtained using the method of moments with the triangle basis and pulse testing functions. Secondly, the orthogonal (Daubechies and Symlets) and the biorthogonal (spline generated biorthogonal) wavelets are used and compared in solving the helix integral equation. The grounds of comparison between the two categories are accurate in characterizing the induced current, matrix sparsity, relative error and computation time. The advantages and limitations of solving integral equations with each of the two wavelet categories are discussed. The numerical example is provided to demonstrate the validity and applicability of our proposed algorithm which can be easily implemented to produce a desired accuracy.



中文翻译:

将正交和正交小波基函数应用于螺旋天线建模的矩量法

提出了一种有效的螺旋天线矩量法算法。该算法是基于使用两类连续小波基函数(正交和小波)求解螺旋积分方程而开发的。在第一部分中,使用具有三角基和脉冲测试功能的矩量法获得螺旋天线中的电流。其次,使用正交(Daubechies和Symlets)和双正交(样条生成的双正交)小波,并在求解螺旋积分方程时进行比较。两种类别之间的比较基础可以准确地表征感应电流,矩阵稀疏性,相对误差和计算时间。讨论了用两个小波类别分别求解积分方程的优缺点。

更新日期:2020-12-11
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