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Pitch Estimation for the Separation of Musical Sounds

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We present a pitch estimation method for the separation of musical sounds. From a sinusoid plus autoregressive noise model of the composite signal, we successively estimate the fundamental frequencies using the Minimum Description Length principle or Rissanen Criterion. Equivalent to a penalized log-likelihood, this criterion also allows to detect the onset and offset of each sound. The detection is based upon the likelihood gap between the estimate model and a simple autoregressive model. Several simulations for single or multiple musical sounds are performed to illustrate the effectiveness of the method.

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