Sound Signature Detection by Probability Density Function of Normalized Amplitudes
Ion Bica, Zhichun Zhai, Rui Hu, and Mickey H. Melnyk

Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture
Pages 287–294
Regular Papers

Abstract

In this paper, we propose to use the probability density function of normalized amplitudes (PDFNA) to detect distinctive sounds in classical music. Based on data sets generated by waveform audio files (WAV files), we use the kernel method to estimate the probability density function. The confidence interval of the kernel density estimator is also given. In order to illustrate our method, we used the audio data collected from recordings of three composers; Johann Sebastian Bach (1686-1750), Ludwig van Beethoven (1770-1827) and Franz Schubert (1797-1828).

Disclaimer: This paper addresses only to the genre of classical music, and it focuses on instrumental pieces played only on solo instruments. The results obtained are not intended to explain other musical genres.

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