Identification of Independent Components Based on Borel Measure for Under-Determined Mixtures
In this paper, a new method for identifying the independent components of an alpha-stable random vector for under-determined mixtures is proposed. The method is based on an estimate of the discrete Borel measure for the characteristic function of an alpha-stable random vector. Simulations demonstrate that the proposed method can identify independent components and the basis vectors of mixing matrix in the so-called under-determined case of more sources than mixtures.
KeywordsBasis Vector Random Vector Speech Signal Independent Component Borel Measure
Unable to display preview. Download preview PDF.
- 1.Nikias, C.L., Shao, M.: Signal Processing with Alpha-Stable Distribution and Applications. John Wiley & Sons Inc., New York (1995)Google Scholar
- 3.Kidmose, P.: Alpha-Stable Distributions in Signal Processing of Audio Signals. In: 41st Conference on Simulation and Modelling, pp. 87–94. Scandinavian Simulation Society (2000)Google Scholar