UNIVERSAL APPLICATION OF FOURIER SERIES IN ENGINEERING, MEDICINE, AND ECONOMICS

Authors

  • Alisher Omonov Lecturer, Department of Higher and Applied Mathematics Tashkent State University of Economics Author
  • Javlon Fayziyev Lecturer, Department of Higher and Applied Mathematics Tashkent State University of Economics Author
  • Oltinbek Mirzamurodov Lecturer, Department of Higher and Applied Mathematics Tashkent State University of Economics Author

Keywords:

Fourier series, Fourier transform, integral transforms, medical imaging and Fourier analysis, biometric identification, artificial intelligence and Fourier analysis

Abstract

In today’s era of digital technologies, signal and image processing is widely applied in various fields such as medicine, communications, audio and video technologies, artificial intelligence, and engineering. In these processes, Fourier analysis—namely, Fourier series and integral transforms—serves as one of the fundamental mathematical tools for analyzing the composition of signals and images, compressing them, and filtering noise. With the help of Fourier series and transforms, complex functions can be decomposed into sine and cosine waves, which facilitates easier analysis, noise reduction, and data compression. This article provides a detailed analysis of the fundamental concepts of Fourier series and transforms, their mathematical foundations, and their practical applications across various fields.

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Published

2025-05-17

Issue

Vol. 1 No. 2 (2025)

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

UNIVERSAL APPLICATION OF FOURIER SERIES IN ENGINEERING, MEDICINE, AND ECONOMICS. (2025). Modern American Journal of Engineering, Technology, and Innovation, 1(2), 73-80. https://usajournals.org/index.php/2/article/view/110