Fourier Series Analysis in Engineering: Advancements and Applications

Abstract

Fourier series analysis stands as a cornerstone in engineering, offering powerful insights into the representation and manipulation of periodic functions. This research paper delves into the advancements and applications of Fourier series analysis across various engineering domains. Through an in-depth exploration of relevant scholarly works, the paper highlights key methodologies, techniques, and case studies where Fourier series analysis has been effectively employed. The abstract examines the utilization of Fourier series in signal processing, where it serves as a fundamental tool for signal decomposition, filtering, and reconstruction. Additionally, its application in control systems engineering is discussed, focusing on its role in system identification, modeling, and frequency domain analysis. Moreover, the paper explores the use of Fourier series in structural engineering for modal analysis and vibration response prediction. In electrical engineering, Fourier series are employed in power systems analysis, harmonics assessment, and waveform synthesis. Furthermore, its application in image processing is examined, showcasing its effectiveness in image compression, enhancement, and pattern recognition tasks. The abstract concludes by identifying emerging trends and future research directions in Fourier series analysis, emphasizing its continued importance in engineering innovation and advancement.

Cite as:

A. D. Awasare. (2024). Fourier Series Analysis in Engineering: Advancements and Applications. Journal of Applied Mathematics and Statistical Analysis, 5(2), 21–24. 

https://doi.org/10.5281/zenodo.11208733