Denoising acoustic signals using constrained non-negative matrix factorization

A method for denoising a mixed signals, in which the mixed signal includes an acoustic signal and a noise signal, comprising:

• applying a constrained non-negative matrix factorization (NMF) to the mixed signal, in which the NMF is constrained by a denoising model, in which the denoising model comprises training basis matrices of a training acoustic signal and a training noise signal, and statistics of weights of the training basis matrices, and in which the applying produces weight of a basis matrix of the acoustic signal of the mixed signal;
• and
• taking a product of the weights of the basis matrix of the acoustic signal and the training basis matrices of the training acoustic signal and the training noise signal to reconstructing the acoustic signal, wherein steps of the method are performed by a processor.