Chapter 3

Contrasts

E. Moreau and P. Comon

3.1 Introduction

The Blind Source Separation (BSS) problem is defined by a mixture model, a set of source processes, and a set of assumptions. For instance, various types of mixture can be considered, as: (i) instantaneous (i.e. static) linear mixtures, (ii) convolutive mixtures, or (iii) nonlinear mixtures. The mixing operation is often assumed to be invertible, but it is not the case for under-determined mixtures described in Chapter 9.

Source signals can take their values in the real field or in the complex field, be of constant modulus or belong to a finite alphabet, a priori known or not. When source signals are considered to be random, several assumptions exist. Sources may be: (a) mutually statistically ...

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