Open Access

Complex-Valued Adaptive Signal Processing Using Nonlinear Functions

EURASIP Journal on Advances in Signal Processing20082008:765615

DOI: 10.1155/2008/765615

Received: 16 October 2007

Accepted: 14 February 2008

Published: 25 February 2008


We describe a framework based on Wirtinger calculus for adaptive signal processing that enables efficient derivation of algorithms by directly working in the complex domain and taking full advantage of the power of complex-domain nonlinear processing. We establish the basic relationships for optimization in the complex domain and the real-domain equivalences for first- and second-order derivatives by extending the work of Brandwood and van den Bos. Examples in the derivation of first- and second-order update rules are given to demonstrate the versatility of the approach.

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Authors’ Affiliations

Department of Computer Science and Electrical Engineering, University of Maryland


© H. Li and T. Adalı 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.