Importance of Fourier Series in Signal Analysis
- 1Anna University Chennai, Associate Professor, Department of ECE, K. Ramakrishnan college of engineering, Tamilnadu, IN
References
[1]
J.
Smith, L. Brown, and K. Thompson, “Application of Fourier Series in Periodic
Signal Analysis,” International Conference on Signal Processing and
Communication Systems, 2021.
[2]
M.
Kumar and R. Rao, “Fourier Series Decomposition for Electrical Signal Harmonic
Analysis,” Journal of Electrical Engineering and Technology, vol. 12,
no. 3, pp. 145–152, 2020.
[3]
C.
Chen, P. Li, and S. Wang, “Vibration Analysis of Mechanical Systems Using
Fourier Series,” Mechanical Systems and Signal Processing, vol. 45, pp.
210–223, 2019, doi: 10.1016/j.ymssp.2019.03.004.
[4]
A.
Patel and D. Singh, “Fourier Series-Based Audio Signal Reconstruction and Noise
Reduction,” Proceedings of the International Conference on Audio and Speech
Processing, 2022.
[5]
H.
Hassan, “Theoretical and Practical Aspects of Fourier Series in Digital Signal
Processing,” International Journal of Engineering Research, vol. 10, no.
2, pp. 50–60, Oct. 2021.
[6]
L.
Lee, R. Kim, and S. Park, “Biomedical Signal Analysis Using Fourier Series: ECG
and EEG Applications,” Journal of Biomedical Engineering, vol. 38, no.
6, pp. 512–526, 2020.
[7]
V. Rao
and M. Mehta, “Comparison of Fourier Series and Other Transform Techniques for
Signal Analysis,” International Research Journal of Modern Engineering,
vol. 5, issue 4, pp. 89–97, 2023.
[8]
F.
Zhang and K. Li, “Frequency Spectrum Analysis of Noisy Periodic Signals Using
Fourier Series,” Proceedings of the IEEE International Symposium on Circuits
and Systems (ISCAS), 2019.
[9]
R.
Singh and A. Gupta, “Practical Applications of Fourier Series in Audio and
Vibration Signal Analysis,” Journal of Applied Signal Processing, vol.
14, no. 1, pp. 33–45, Mar. 2022.
[10]
S.
Ahmed and P. Roy, “Fourier Series for Real-Time Signal Analysis in MATLAB and
Python,” International Conference on Computing and Communication
Technologies, 2021.
Keywords: Fourier Series; Signal Analysis; Frequency Domain; Harmonic Decomposition; Periodic Signals; Digital Signal Processing (DSP); Spectral Analysis; Signal Representation; Filtering; System Identification.
Citation: Dr. R. Samson Daniel *, Dr. R. Samson Daniel ( 2026), Importance of Fourier Series in Signal Analysis. , 13(1): 1-5
Received: 10/12/2025; Accepted: 02/01/2026;
Published: 02/01/2026
Edited by:
Mr.ERES JOURNALSReviewed by:
Copyright: @eres journals.
*Correspondence: Dr. R. Samson Daniel , samson.rapheal@gmail.com


