On the Quotient Function Employed in the Blind Source Separation Problem

Fujita, K.

Fractional Calculus and Applied Analysis (2010)

  • Volume: 13, Issue: 5, page 495-506
  • ISSN: 1311-0454

Abstract

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MSC 2010: 42C40, 94A12On the blind source separation problem, there is a method to use the quotient function of complex valued time-frequency informations of two ob-served signals. By studying the quotient function, we can estimate the number of sources under some assumptions. In our previous papers, we gave a mathematical formulation which is available for the sources with-out time delay. However, in general, we can not ignore the time delay. In this paper, we will reformulate our basic theorems related to the method of estimating the number of sources to be available for more general cases.

How to cite

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Fujita, K.. "On the Quotient Function Employed in the Blind Source Separation Problem." Fractional Calculus and Applied Analysis 13.5 (2010): 495-506. <http://eudml.org/doc/219556>.

@article{Fujita2010,
abstract = {MSC 2010: 42C40, 94A12On the blind source separation problem, there is a method to use the quotient function of complex valued time-frequency informations of two ob-served signals. By studying the quotient function, we can estimate the number of sources under some assumptions. In our previous papers, we gave a mathematical formulation which is available for the sources with-out time delay. However, in general, we can not ignore the time delay. In this paper, we will reformulate our basic theorems related to the method of estimating the number of sources to be available for more general cases.},
author = {Fujita, K.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Quotient Function; Cumulative Distribution Function; Blind Source Separation},
language = {eng},
number = {5},
pages = {495-506},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Quotient Function Employed in the Blind Source Separation Problem},
url = {http://eudml.org/doc/219556},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Fujita, K.
TI - On the Quotient Function Employed in the Blind Source Separation Problem
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 5
SP - 495
EP - 506
AB - MSC 2010: 42C40, 94A12On the blind source separation problem, there is a method to use the quotient function of complex valued time-frequency informations of two ob-served signals. By studying the quotient function, we can estimate the number of sources under some assumptions. In our previous papers, we gave a mathematical formulation which is available for the sources with-out time delay. However, in general, we can not ignore the time delay. In this paper, we will reformulate our basic theorems related to the method of estimating the number of sources to be available for more general cases.
LA - eng
KW - Quotient Function; Cumulative Distribution Function; Blind Source Separation
UR - http://eudml.org/doc/219556
ER -

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