Haar Wavelet Solution Analysis of Compound Pendulum-based Computational Electromagnetic Damping Oscillation Problem

Abstract

This paper reports the application of Haar wavelet algorithm in achieving the numerical solution of 2nd order computational electromagnetic problems related to dynamics of small, damped oscillations for compound pendulum based system. Flow chart of problem approximation using Haar wavelet has also been incorporated for the solution analysis. In this paper, a comparative analysis has been presented in the terms of efficiency and average computation cost of CPU for the numerical approximations obtained. The analysis shows that the Haar wavelet based techniques give results with less computation cost and more accurate approximations when compared to other numerical methods such as Taylor Series and Runge-Kutta available in literature.

KEYWORDS:

• Compound pendulum
• Electromagnetic damping
• Haar wavelet
• Oscillation in space

Acknowledgments

We would like to thank the Ministry of Electronics and Information Technology (MeitY), Govt. of India and Media Lab Asia (MLAsia) for financial assistance to carry out this research.

Additional information

Notes on contributors

Arun Kumar

Arun Kumar received his BTech degree from Uttar Pradesh Technical University, Lucknow in 2009 and MTech degree from Madan Mohan Malaviya University of Technology, Gorakhpur in 2012. He is PhD student at Jamia Millia Islamia University Delhi. His research interests include computational techniques, electromagnetic, RF circuits,microelectronics circuits and device modeling.

Mohammad Shabi Hashmi

Mohammad Hashmi attended Prifysgol Caerdydd (Cardiff University) for a PhD degree in electronics engineering, Technische University Darmstadt for an MS degree in information and communication engineering, and Aligarh Muslim University for a BTech degree in electrical engineering. He carried out his doctoral research at the Agilent Center for High Frequency Engineering. Since 2012, he has been a member of the faculty at IIIT, Delhi. Previously, he had stints at Philips Technology Center in Nuremberg, Thales Design Center in Berlin, and iRadio Lab in Calgary. He works in the broad area of electronics system design with particular emphasis on RF, mixed signal electronics and fractional order circuits and systems. His research has been funded by Nokia Networks, Focus Microwaves, and Agilent Technologies. He has authored or co-authored more than 200 peer reviewed journal and conference papers, one book, and three US Patents (two pending). His major awards and achievements include DAAD-Siemens Scholarship, Nokia Doctoral Fellowship, UK Govt's Dorothy Hodgkin Award, Alberta Innovates Fellowship, third prize in the IEEE-MTT originality and creativity competition (2008), ARFTG Microwave Measurement Fellowship (2008), and Young Researcher Grant from INMMiC (2008). Email: [email protected]

Abdul Quaiyum Ansari

Abdul Quaiyum Ansari received his BSc Eng (Hons) in electrical engineering (low current) from Aligarh Muslim University 1984, MTech from Indian Institute of technology Delhi in integrated electronics and circuits in 1991 and Ph.D. in the field of hierarchical fuzzy control for industrial automation from Jamia Millia Islamia (JMI), New Delhi in 2000. He joined as lecturer in Jamia Millia Islamia in 1984. He was professor and head of the Department at Jamia Hamdard (Hamdard University) from 2001 to 2004. He was head of the Department at Jamia Millia Islamia from 2008 to 2011. He was Dean in Faculty of Management Studies and Information Technology, Jamia Hamdard from 2002 to 2004. (On deputation from JMI) He is professor of Electrical Engineering Department in Jamia Millia Islamia since 2000. He was honorary executive secretary of Indian Society for Technical Education (ISTE) from April 2005 to July 2005, executive council member National Executive Council, Indian Society for Technical Education (ISTE) from January 2003 to December 2006, Chairman IEEE-Computational Intelligence Society, Delhi Chapter January 2011 till date, Chairman Standing committee on membership development, IEEE Delhi Section from January 2014 till date, EC Member IEEE Delhi Section from January 2009 till date. His research contributions are in the areas of mobile adhoc networks, multimodal biometrics, networks-on-chip, fuzzy logic and its variants and fractional order circuits. Email: [email protected]

Sultangali Arzykulov

Sultangali Arzykulov received the BSc degree (Hons) in radio engineering, electronics and telecommunications from Kazakh National Research Technical University after K. I. Satpayev, Almaty, Kazakhstan, in June 2010, the MSc degree in communication engineering from The University of Manchester, Manchester, U.K., in 2013, and the PhD degree in science, engineering and technology from Nazarbayev University, Nur-Sultan, Kazakhstan, in 2019. He is currently a postdoctoral scholar with Nazarbayev University, Kazakhstan. His research interests include broad areas of wireless communication systems, with particular focus on cooperative communications, cognitive radio, energy harvesting, interference mitigation, and NOMA. He acts as a reviewer for several international journals/conferences and served as a technical program committee member of numerous IEEE Communication Society flagship conferences. Email: [email protected]