Abstract
This paper deals with the extraction of signals from their instantaneous linear mixtures using time-frequency distributions. Fundamentally, this problem is a signal synthesis from the time-frequency (t-f) plane. However with the incorporation of the spatial information provided by a multisensor array, the problem can be posed as special case of blind source separation. So far, the blind source separation has been solved using only statistical information available on the source signals. Herein, we propose to solve the aforementioned problem using time-frequency signal representations and the spatial array aperture. The proposed approach relies on the difference in the t-f signatures of the sources to be separated. It is based on the diagonalization of a combined set of spatial time-frequency distribution matrices. A numerical example is provided to illustrate the effectiveness of our method.
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References
C. M. Berrah, “Parameter Yield Estimation for a MOSFET Integrated Circuit,” Proc. 1990 IEEE ISCAS, 1990, pp. 2260–2263.
E. E. Cureton, and R. B. D'Agostino, FACTOR ANALYSIS An Applied Approach, Lawrence Erlbaum Associates, 1983.
R. Schmidt, “Multiple Emitter Location and Signal Parameter Estimation,” IEEE Trans. on AP, vol. 34, no. 1, 1986, pp. 276–280.
G. Demoment, “Image Reconstruction and Restoration: Overview of Common Estimation Structures and Problems,” IEEE Trans. on ASSP, vol. 37, 1989, pp. 2024–22036.
C. Jutten, and J. Hérault, “Détection de Grandeurs Primitives Dans un Message Composite par une Architecture de Calcul Neuromimétrique en Apprentissage non Supervisé,” Proc. Gretsi, (Nice), 1985.
P. Comon, “Independent Compotent Analysis, A New Concept?,” Signal Processing, vol. 36, 1994, pp. 287–314.
A. Belouchrani, and J.–F. Cardoso, “Maximum Likelihood Source Separation for Discrete Sources,” Proc. EUSIPCO, 1994, pp. 768–771.
A. Belouchrani, K. Abed Meriam, J.–F. Cardoso, and E. Moulines, “A Blind Source Separation Technique Using Second Order Statistics,” IEEE Trans. on SP, vol. 45, 1997, pp. 434–444.
F. Hlawatsch, and W. Krattenthaler, “Blinear Signals Synthesis,” IEEE Trans. on SP, vol. 40, 1992, pp. 352–363.
L. Cohen,Time–Frequency Analysis, Prentice Hall, 1995.
G. H. Golub, and C. F. Van Loan, Matrix Computations, The Johns Hopkins University Press, 1989.
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Belouchrani, A., Amin, M.G. On the Use of Spatial Time Frequency Distributions for Signal Extraction. Multidimensional Systems and Signal Processing 9, 349–354 (1998). https://doi.org/10.1023/A:1008433718539
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DOI: https://doi.org/10.1023/A:1008433718539