Weight matrix initialization method to improve signal decomposition
A method of decomposing digital signals using non-negative matrix factorization by generating an initial set of values in a row in the weight matrix from a ratio of a first function of a first signal of a plurality of digital signals divided by a second function of at least two other signals of the plurality of the digital signals, wherein the row in the weight matrix determines a decomposition of the plurality of digital signals into signal components.
1. A method of creating an initial set of values in a row of a weight matrix in non-negative matrix factorization to decompose digital audio signals comprising:
generating the initial set of values of the row of the weight matrix from a ratio of a first function of a first signal of a plurality of digital audio signals divided by a second function of at least two other signals of the plurality of the digital audio signals, wherein the row in the weight matrix determines a decomposition of the plurality of digital audio signals into signal components; and
audibly outputting a portion of one or more of the components of the decomposed plurality of digital audio signals at least based on input from an interface element.
2. The method of claim 1 , wherein the digital audio signals are one or more of binaural or multichannel audio signals.
3. The method of claim 1 , wherein the first and second functions are calculated from one or more filtered versions of said digital audio signals.
4. The method of claim 1 , wherein the first and second functions are calculated in one or more of the time domain, the frequency domain, theme-frequency domain.
5. The method of claim 1 , wherein the first and second functions are calculated using one or more of energy, power, root mean square, geometric mean, arithmetic mean, euclidean norm, taxicab norm, or Lp norm.
6. The method of claim 1 , wherein the digital audio signals are one or more of binaural or multichannel audio signals and the output portion of the one or more of the components are used for one or more of: source separation, signal restoration, signal enhancement, noise removal, un-mixing, up-mixing and re-mixing.
7. The method of claim 1 , wherein the output portion of the one or more of the components are used for one or more of: source separation, signal restoration, signal enhancement, noise removal, un-mixing, up-mixing and re-mixing.
8. The method of claim 1 , wherein the plurality of digital audio signals are a single source coming from an original mixture of multiple sources.
9. The method of claim 1 , further comprising automatically sorting one or more of the components.