This paper presents a combined mathematical treatment for a special automatic music transcription system. This system is specially made for computer-synthesized music. The combined mathematical treatment includes harmonic selection, matrix analysis, and probability analysis method. The algorithm reduces dimension by PCA and selects candidates first by human auditory model and harmonic structures of notes. It changes the multiple-F0 estimation question into a mathematical problem and solves it in a mathematical way. It can be shown in this paper that the experimental results indicate that this method has very good recognition results.
Yi Guo. Jiyong Tang. "A Combined Mathematical Treatment for a Special Automatic Music Transcription System." Abstr. Appl. Anal. 2012 (SI06) 1 - 13, 2012. https://doi.org/10.1155/2012/302958