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Complex ICA Using Nonlinear Functions

IEEE Transactions on Signal ProcessingPublished 14 August 2008
Tülay Adalı, Hualiang Li, M. Novey, J.-F. Cardoso
Citations112
SJR quartileQ1
SJR score2.05
SNIP2.36

TL;DR

A framework based on Wirtinger calculus for nonlinear complex-valued signal processing such that all computations can be directly carried out in the complex domain is introduced.

Abstract

We introduce a framework based on Wirtinger calculus for nonlinear complex-valued signal processing such that all computations can be directly carried out in the complex domain. The two main approaches for performing independent component analysis, maximum likelihood, and maximization of non-Gaussianity-which are intimately related to each other-are studied using this framework. The main update rules for the two approaches are derived, their properties and density matching strategies are discussed along with numerical examples to highlight their relationships.

Keywords

ChemistryComputer Science