
Fourier transformation for acoustic: Principle & applications
- 1 Jilin University
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Abstract
A The Fourier transform has a wide range of applications in daily life, including physics, signal processing, acoustics etc. The topic of this article is to demonstrate the principle and applications of the Fourier transform in acoustics through theoretical derivation. The paper first derived the basic formula of the Fourier Transform and the related seven theorems. Then the paper detailed the research of Fourier Transform in underwater acoustic pulse signal detection technology. Finally, the application of Fourier Transform in the defect detection algorithm of MEMS acoustic films was detailed. According to the analysis, the paper demonstrated the primary application of Fourier Transform in underwater acoustic pulse signal detection and defect detection algorithm of MEMS acoustic film. Based on the evaluations, this study demonstrated the general application scenario of Fourier Transform and offered theoretical basis of its application in acoustic field, which promotes its developmental potential in the acoustic field. Overall, these results shed light on guiding further exploration of acoustic research.
Keywords
Fourier Transform, principle, applications: acoustics
[1]. Mariette M M, Clayton D F and Buchanan K L, 2021 Acoustic developmental programming: a mechanistic and evolutionary framework. Trends in Ecology & Evolution vol 36(8), pp. 722-736.
[2]. Mariette M M 2020 Acoustic Developmental Programming: implications for adaptive plasticity and the evolution of sensitive periods. Current Opinion in Behavioral Sciences, vol. 36, pp. 129-134.
[3]. Scheel H 2016 Next generation aircraft-A challenge for Interior Acoustics Developments. In INTER-NOISE and NOISE-CON Congress and Conference Proceedings vol 253(4), pp. 4666-4675.
[4]. Kukso O, Benisch M, Rascher R, et al. 2021 Acoustic measurements for optics Eighth European Seminar on Precision Optics Manufacturing. SPIE, vol 11853, pp. 96-106.
[5]. Zuo Z 2021 Research on piano sound color recognition and electron synthesis system based on Fourier analysis method Automation Technology and Applications, vol 40(02), pp. 137-140 +147.
[6]. Lv Z, Liu P, Ding Y, et al. 2021 Implementing fractional Fourier transform and solving partial differential equations using acoustic computational metamaterials in space domain. Acta Mechanica Sinica vol 37, pp. 1371-1377.
[7]. Gao W, Li B 2021 Convolution theorem involving n-dimensional windowed fractional Fourier transform. Science China Information Sciences vol 64(6), p. 169302.
[8]. Ghazouani S and Sahbani J 2022 Canonical Fourier-Bessel transform and their applications Journal of Pseudo-Differential Operators and Applications, vol 14, p. 1.
[9]. Wei D, Sang M, Yu M, et al. 2021 MEMS acoustic thin film defect detection algorithm based on frequency domain transformation Applied Optics, vol 42(06), pp. 1086-1091.
[10]. Kong M 2020 Spectrum detection and application based on the optical Fourier transform Beijing Jiaotong University.
[11]. Fei H 2022 Deep learning-based sound event classification and location detection study Jiangnan University.
[12]. Jutamulia S and Song F 2007 Fourier transform optics and its frontier applications. Journal of Quantum Electronics vol 1, p. 122.
Cite this article
Wen,Q. (2023). Fourier transformation for acoustic: Principle & applications. Theoretical and Natural Science,10,115-122.
Data availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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Volume title: Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation
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