4.7 Article

Double Nonstationarity: Blind Extraction of Independent Nonstationary Vector/Component From Nonstationary Mixtures-Algorithms

Journal

IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 70, Issue -, Pages 5102-5116

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2022.3216106

Keywords

Signal processing algorithms; Mathematical models; Probability density function; Covariance matrices; Computational modeling; Blind source separation; Sensors; Blind source extraction; blind source separation; dynamic models; independent component analysis; independent vector analysis; moving sources

Funding

  1. Czech Science Foundation [20-17720S]
  2. Department of the Navy, Office of Naval Research Global [N62909-19-1-2105]

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This article introduces new algorithms for ICE/IVE by combining nonstationary mixing and source models, allowing for a moving source-of-interest distribution. The proposed Gaussian source model shows benefits in frequency-domain speaker extraction. The algorithms are verified in simulations and demonstrate superior performance in convergence speed and extraction accuracy compared to existing algorithms.
In this article, nonstationary mixing and source models are combined for developing new fast and accurate algorithms for Independent Component or Vector Extraction (ICE/IVE), one of which stands for a new extension of the well-known FastICA. This model allows for a moving source-of-interest (SOI) whose distribution on short intervals can be (non-)circular (non-)Gaussian. A particular Gaussian source model assuming tridiagonal covariance matrix structures is proposed. It is shown to be beneficial in the frequency-domain speaker extraction problem. The algorithms are verified in simulations. In comparison to the state-of-the-art algorithms, they show superior performance in terms of convergence speed and extraction accuracy.

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