TITLE:
Mixed Music Analysis with Extended Specmurt
AUTHORS:
Daiki Nishimura, Toru Nakashika, Tetsuya Takiguchi, Yasuo Ariki
KEYWORDS:
Mixed Music Analysis; Specmurt Analysis; Matrix Representation
JOURNAL NAME:
Journal of Software Engineering and Applications,
Vol.6 No.5,
May
24,
2013
ABSTRACT: This paper
introduces a mixed music analysis method using extended specmurt analysis.
Conventional specmurt can only analyze a multi-pitch music signal from a single
instrument and cannot analyze a mixed music signal that has several different types of instruments being played at the
same time. To analyze a mixed music signal, extended specmurt is proposed. We regard the observed spectrum
extracted from the mixed music as the summation of the observed spectra corresponding to each instrument. The mixed music has as many unknown fundamental
frequency distributions as the number of instruments since the observed
spectrum of a single instrument can be expressed as a convolution of the common
harmonic structure and the fundamental frequency distribution. The relation among the observed spectrum, the common
harmonic structure and the fundamental frequency distribution is transformed
into a matrix representation in order to obtain the unknown fundamental
frequency distributions. The equation is called extended specmurt, and the matrix of unknown components can be
obtained by using a pseudo inverse matrix. The experimental result shows the
effectiveness of the proposed method.