Education, Science, Technology, Innovation and Life
Open Access

### To What Extent Does the Geometry of An Object Affect the Transmission of Sound to the Listener?

Jiachi Xue 1

#### Affiliation(s)

1 Collège Alpin Beau Soleil, Villars-sur-Ollon, Switzerland

Jiachi Xue

#### ABSTRACT

Noise cancellation has become one of the recent technologies that benefit human life. In daily life, people can wear earphones with noise cancellation technology to fully immerse themselves in their works and not to get disturbed by others. With that in mind, I presented an investigation on how the changing geometry (thickness and shapes) of a material affects the effects of noise cancellation. I employed theories such as Fast Fourier Transform, Nyquist Theorem, Constructive and Destructive Interference, and so on to make a hypothesis or strengthen the conclusion. The investigation was completely up to my design, where I sketched how the investigation will be constructed. To increase the accuracy of the results, I asked help from Design and Technology Department at our school to cut materials to their finest. The whole investigation makes use of the same material and same cutting methodology. The testing condition carried out for every measurement is also the same. This investigation eventually guided me to a new understanding of how the effects of noise cancellation can be changed due to its geometry. Eventually, after careful consultation with my research mentor and additional researches on successful experiments conducted by professional researchers, the proposed conclusion will give an idea of future improvement in the noise cancellation field.

#### KEYWORDS

Acoustics, Noise Cancellation, Fast Fourier Transform, Integrals

#### CITE THIS PAPER

Jiachi Xue , To What Extent Does the Geometry of An Object Affect the Transmission of Sound to the Listener?. Advances in Computer, Signals and Systems (2022) Vol. 6: 1-17. DOI: http://dx.doi.org/10.23977/acss.2022.060101.

#### REFERENCES

[1] al., P. C. e., n.d. Discrete Fourier Transform.  Retrieved from:  https://brilliant.org/wiki/discrete-fourier-transform/ [Accessed 3 September 2021].
[2] Amares, S., 2017. A Review: Characteristics of Noise Absorption Material. Journal of Physics: Conference Series, Volume 908, p. 10.
[3] Anzalone, C., n.d. What Is the Soundproofing Value of Styrofoam?.  Retrieved from: https://www.hunker.com/
13401645/what-is-the-soundproofing-value-of-styrofoam [Accessed 10 Novemeber 2021].
[4] AppleCompany, 2019. Apple. Retreievd from: https://www.apple.com/airpods-pro/ [Accessed 26 04 2021].
technical-articles/an-introduction-to-the-discrete-fourier-transform/ [Accessed 1 June 2021].
[7] Burnie, 2021. Soundwave. [Sound Recording] (4daz-le Records).
[8] Capritto, A., 2019. The secret to better sleep: Pink, blue and brown noise. Retrieved from: https://www.cnet.com/
health/sleep/white-noise-pink-noise-blue-noise-brown-noise/ [Accessed 4 September 2021].
[9] Cheever, E., 2005. Introduction to the Fourier Transform. Retrieved from: https://lpsa.swarthmore.edu/
Fourier/Xforms/FXformIntro.html [Accessed 26 May 2021].
[10] DATAQ, n.d. FFT (Fast Fourier Transform) Waveform Analysis. Retrieved from: https://www.dataq.com/data-acquisition/general-education-tutorials/fft-fast-fourier-transform-waveform-analysis.html [Accessed 15 August 2021].
[11] Dominic, n.d. Here's How Thick Walls Should be to be Soundproof.  Retrieved from: https://soundproofcentral.com/wall-thickness-soundproofing/ [Accessed 10 November 2021].
[12] Furness, D., 2019. Scientists discover a strange shape that blocks almost all sound. Retrieved from: https://www.digitaltrends.com/cool-tech/strange-shape-blocks-sound/ [Accessed 10 November 2020].
[13] Lumen, n.d. Superposition and Interference. Retrieved from: https://courses.lumenlearning.com/physics/chapter/16-10-superposition-and-interference/ [Accessed 9 November 2021].
pressure [Accessed 27 July 2021].
[16] Munson, H. F. a. W. A., 1933. Loudness, Its Definition, Measurement and Calculation. The Journal of the Acoustical Society of America, August.V(2).
[17] Oshana, R., 2006. The Nyquist Criteria. s.l.:s.n.
[18] Price, R., n.d. How to Get the RMS in Excel. Retrieved from: https://www.techwalla.com/articles/how-to-get-the-rms-in-excel [Accessed 21 August 2021].
[19] Seddeq, H. S., 2009. Factors Influencing Acoustic Performance of Sound Absorptive Materials. Australian Journal of Basic and Applied Sciences, 3(4), p. 4615.
[20] SHUKOR, D. S. et al., 2017. ACTIVE NOISE CANCELLATION IN THE RECTANGULAR ENCLOSURE SYSTEMS, Kuala Lumpur: Department of Mechanical Precision Engineering, Malaysia Japan Institute of Technology, Universiti Teknologi Malaysia, Kuala Lumpur, 54100, Malaysia.
[21] Triggs, R., 2020. Active noise-canceling (ANC) technology types explained. Retrieved from: https://www.soundguys.com/
noise-canceling-anc-explained-28344/