A stochastic process model of sound program signals

Author

Ehara, Shiro

Author_Institution

Japan Broadcasting Corporation, Tokyo, Japan

Volume

11

fYear

1986

fDate

31503

Firstpage

2315

Lastpage

2318

Abstract

A product-structured stochastic process $U(t)=V(t)\\cdot W(t)$ is proposed for a model of sound program signals and a general pdf (probability density function) of $U(t)$ is derived from the pdfs $g(v)$ and $h(w)$ of the respective component processes $V(t)$ and $W(t)$ . The structure of the model gives a kind of statistical properties of orchestra music sounds as follows; the pdf $h(w)$ of fluctuating rms-valued intensity $W(t)$ follows the M-pdf, the pdf $g(v)$ of the audible component $V(t)=U(t)/W(t)$ follows the Gaussian pdf, and the pdf $f(u)$ of $U(t)$ may be expressed in an integral representation. The respective cdfs (cumulative distribution functions) $F(u)$ and $H(w)$ of $U(t)$ and $W(t)$ showed good agreement not only with the measured cdfs of orchestra sounds but also with the various kinds of measured cdfs of sound program signals including speech signals. A concise table is given for the representation of measured distributions with shape parameters, instead of ordinary graphical presentation.

Keywords

Broadcasting; Distortion measurement; Laboratories; Music; Probability density function; Shape measurement; Signal analysis; Signal processing; Stochastic processes; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '86.

Type

conf

DOI

10.1109/ICASSP.1986.1168712

Filename

1168712