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Keiko Fujita

An application of a quotient function in the time-frequency space

The aim of this talk is to show that a quotient function is useful in a method of blind source separation problem.

On the blind source separation problem, there is a method to use the quotient function of complex valued time-frequency informations of two observed signals. A characteristic of the method is that we first try to estimate the number of sources by studying the quotient function in the time-frequency space. Considering such an application, we have studied a complex valued quotient function in $\mathbb R^n, n\geq 2$, or $\mathbb C^n$.

In this talk, we will review a basic theorem related to the method of estimating the number of sources and will present some problems of the method.











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