Some New Mathematical Models of Synthesized Sound Signals
https://doi.org/10.31854/1813-324X-2022-8-2-76-81
Abstract
Modern sound synthesis systems make it possible to implement various signal generation algorithms of higher complexity. The theory of sound synthesis actively uses the mathematical apparatus of analog and digital radio engineering and signal processing, however, it should be noted that the classical signal models used in acoustics are not adequate to real-world synthesized signals, mainly due to the significant complexity of the latter. This article presents some models of synthesized signals typical for practical use.
About the Authors
G. RogozinskyRussian Federation
St. Petersburg, 193232
M. Chesnokov
Russian Federation
St. Petersburg, 194223
A. Kutlyiarova
Russian Federation
St. Petersburg, 191119
References
1. Manning P. Electronic and Computer Music. Oxford: Oxford University Press; 2013. 576 p.
2. Chowning J.M. The Synthesis of Complex Audio Spectra by Means of Frequency Modulation. Journal of the Audio Engineering Society. 1973;21(7):526–534.
3. Roads C. The Computer Music Tutorial. Boston: MIT Press, 1996. 1234 p.
4. Lazzarini V., Yi S., Ffitch J., Heintz J., Brandtsegg Ø., McCurdy I. Csound: A Sound and Music Computing System. Cham: Springer; 2016. 516 p.
5. Cook P.R. Real Sound Synthesis for Interactive Applications. Boca Raton: CRC Press; 2002. 263 p.
6. Kudumakis P.E., Sandler, M. Synthesis and coding of audio signals using wavelet transforms for multimedia applications: An overview // Proceedings of the DSP'96 Technical Conference (London, UK, 3‒4 December 1996). 1996. PP. 88‒92
7. Ishutkin Yu.M., Uvarov V.K. The Foundations of Modulation Transformations of Sound Signals. St. Petersburg: Saint Petersburg State University of Film and Television Publ.; 2004. 102 p. (in Russ.)
8. Smith III J.O. Efficient Synthesis of Stringed Musical Instruments. Proceedings of the Conference on International Computer Music, ICMC, Tokyo, Japanese. San Francisco: Computer Music Association; 1993. p.64–71.
9. Roads C. Microsound. Boston: MIT Press; 2004. 424 p.
10. Rogozinsky G.G., Podolsky D.A., Goryachev N.V. Wintermute v.0.2.8. Patent RF, no 2019613755, 19.03.2019. (in Russ.)
11. Rogozinsky G., Goryachev N. Method of Modeling of Sound Synthesizers. Proceedings of Telecommunication Universities. 2019;5(1):25–30. (in Russ.) DOI:10.31854/1813-324X-2019-5-1-25-30
12. Smith III J.O. Spectral Audio Signal Processing. Stanford: W3K Publishing; 2011. 674 p.
13. Schottstaedt B. An Introduction to FM. URL: https://ccrma.stanford.edu/software/snd/snd/fm.html [Accessed 06th February 2022]
Review
For citations:
Rogozinsky G., Chesnokov M., Kutlyiarova A. Some New Mathematical Models of Synthesized Sound Signals. Proceedings of Telecommunication Universities. 2022;8(2):76-81. (In Russ.) https://doi.org/10.31854/1813-324X-2022-8-2-76-81