independent Component Analysis: algorithms and applications: Difference between revisions

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==Motivation==
==Motivation==
Imagine a room where two people are speaking at the same time and two microphones are used to record the speech signals. Denoting the speech signals by <math>s_1(t) \,</math> and <math>s_2(t)\,</math> and the recorded signals by <math> x_1(t) \,</math> and <math>x_2(t)</math>, we have the follow linear equation:


==Introduction==
==Introduction==

Revision as of 13:39, 5 July 2009

Motivation

Imagine a room where two people are speaking at the same time and two microphones are used to record the speech signals. Denoting the speech signals by [math]\displaystyle{ s_1(t) \, }[/math] and [math]\displaystyle{ s_2(t)\, }[/math] and the recorded signals by [math]\displaystyle{ x_1(t) \, }[/math] and [math]\displaystyle{ x_2(t) }[/math], we have the follow linear equation:

Introduction

Definition of ICA

Ambiguities of ICA

Why Gaussian variables are forbidden

Measures of non-Gaussianity

kurtosis

negentropy