Abstract
An algorithm for polyphonic pitch detection and musical instrument separation is presented. Each instrument is represented as a time‐varying harmonic series. Spectral information is obtained from a monaural input signal using a spectral peak tracking method. Fundamental frequencies (F0s) for each time frame are estimated from the spectral data using an Expectation Maximization (EM) algorithm with a Gaussian mixture model representing the harmonic series. The method first estimates the most predominant F0, suppresses its series in the input, and then the EM algorithm is run iteratively to estimate each next F0. Collisions between instrument harmonics, which frequently occur, are predicted from the estimated F0s, and the resulting corrupted harmonics are ignored. The amplitudes of these corrupted harmonics are replaced by harmonics taken from a library of spectral envelopes for different instruments, where the spectrum which most closely matches the important characteristics of each extracted spectrum is chosen. Finally, each voice is separately resynthesized by additive synthesis. This algorithm is demonstrated for a trio piece that consists of 3 different instruments.
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