EXPECTATION-MAXIMIZATION ALGORITHM FOR MULTI-PITCH ESTIMATION AND SEPARATION OF OVERLAPPING HARMONIC SPECTRA

被引:9
作者
Badeau, Roland [1 ]
Emiya, Valentin [1 ]
David, Bertrand [1 ]
机构
[1] TELECOM ParisTech ENST, CNRS LTCI, Paris, France
来源
2009 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS 1- 8, PROCEEDINGS | 2009年
关键词
Spectral analysis; Maximum likelihood estimation; Algorithms; Harmonic analysis; Envelope detection;
D O I
10.1109/ICASSP.2009.4960273
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper addresses the problem of multi-pitch estimation, which consists in estimating the fundamental frequencies of multiple harmonic sources, with possibly overlapping partials, from their mixture. The proposed approach is based on the expectation-maximization algorithm, which aims at maximizing the likelihood of the observed spectrum, by performing successive single-pitch and spectral envelope estimations. This algorithm is illustrated in the context of musical chord identification.
引用
收藏
页码:3073 / 3076
页数:4
相关论文
共 7 条
[1]  
[Anonymous], 2006, COMPUTATIONAL AUDITO
[2]  
BADEAU R, 2008, P 2008 INT C AC SPEE, P3761
[3]   MAXIMUM LIKELIHOOD FROM INCOMPLETE DATA VIA EM ALGORITHM [J].
DEMPSTER, AP ;
LAIRD, NM ;
RUBIN, DB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (01) :1-38
[4]  
Emiya V., 2007, Proceedings of the International Conference of Digital Audio Effects, P93
[5]  
Klapuri A, 2006, Signal processing methods for music transcription
[6]   Multiple fundamental frequency estimation based on harmonicity and spectral smoothness [J].
Klapuri, AP .
IEEE TRANSACTIONS ON SPEECH AND AUDIO PROCESSING, 2003, 11 (06) :804-816
[7]   ESTIMATING DIMENSION OF A MODEL [J].
SCHWARZ, G .
ANNALS OF STATISTICS, 1978, 6 (02) :461-464