Multiple-Pitch (fundamental frequencies) detection in Polyphonic music

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Filip 2013-5-7

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https://ww2.mathworks.cn/matlabcentral/answers/74895-multiple-pitch-fundamental-frequencies-detection-in-polyphonic-music

Hi everybody!

I'm trying to complete my project which is the MATLAB program which detects pitches (F0s) in polyphonic music signal. When I say signal, I mean one of the simplest kind of it - it is 2 to 5 monophonic samples of piano tones, 500ms each, added together to make POLYPHONIC signal.

What I have done so far is to produce random polyphonic 500ms signal and main loop which analyze polyphonic signal frame by frame. Frame = 4096 points of signal (93ms) windowed by Hamming window. Frame's overlap = 50%. There is FFT (power spectrum) of each frame calculated and then analysis begins.

The main problem that I encountered is following. Not in every maximum peak in the frame is always F0, sometimes it is subharmonic of it. How to distinguish subharmonic (ex: F0/2, F0/5 ...) from F0 peaks?

I found some article of Chunghsin, Roebel and Rodet: LINK. They introduced Mean-Bandwidth to score so called Spectral Smoothness. Smaller MBW -> smaller variations - it was introduced as a tool to distinguish subharmonic from real F0. I tried to implement it, but it does not work. I don't know if it is due to the implementation or it's something else.

Can you help me? Does anyone know any tool/function/method which help me to distinguish subharmonic from real F0? Maybe someone has already completed such project and can help me?

Waiting for your answers, Filip