Applying biorthogonal and orthogonal wavelets basis functions to the method of moments for modeling the helix antenna

Abstract

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.

KEYWORDS:

• Helix antenna
• computation time
• matrix sparsity
• method of moments
• biorthogonal and orthogonal wavelets

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Mohamed Bayjja

Mohamed Bayjja was born in Errachidia, Morocco, on August 6, 1982. He received a doctorate in Electronic & Telecommunications from Abdelmalek Essaâdi University, Morocco. He authored or coauthored more than 14 publications in international journals and conferences proceedings. His research interests include several aspects of circuit and interconnect modeling and simulation, including electromagnetic modeling.

Gamil Alsharahi

Gamil Alsharahi was born in Amran City, Yemen, in 1979. He received a doctorate in Electronic & Telecommunications from Abdelmalek Essaâdi University, Morocco. As a Ph.D. student, he visited Ovidius University of Constanta, Romania, at the Faculty of Civil Engineering in 2019. He has two books and over 28 scientific papers published in different journals and conference proceedings.

Lahcen Amhaimar

Lahcen Amhaimar was born in 1989. He received his Ph.D. degree in 2018 from Abdelmalek Essaâdi University. He is currently an Assistant Professor in the National School of applied Arts, Hassan II University of Casablanca, Morocco. His research interests are in the areas of signal processing, Optical, Wireless Communications and design of microwave circuits. He has several publications on all the areas of his research interest.

Naima Amar Touhami

Naima Amar Touhami is Associate professor of electronics and telecommunications at University Abdelmalek Essaâdi and member of EIRT. She has supervised Master and Bachelor’s Students. She has over than 20 journal papers and 40 conference papers. She has participated in organization of some conferences and events for Ph.D. students. Her research interests include synthesis of advanced high performance active and passive circuits such as antennas, filters, diplexer, amplifier, and mixer.

Mohamed Aghoutane

Mohamed Aghoutane was born in Taounate, Morooco, in October 1956. He received the Ph.D. degree in physics sciences from liege University, liege, Belguim, in 1994. He is currently an associate Professor of Electronics in Abdelmalek Essaâdi University, Tetouan, Morocco. He is involved in Electronic and Telecommunications.