An FIR Equalizer Design for Nonlinear Channels Using Hybrid GA and LMI

Abstract

In this paper, a finite impulse response (FIR) equalizer for nonlinear discretetime channels is designed by employing a hybrid genetic algorithm (GA) and linear matrix inequality (LMI) approach from an H ∞ perspective. The GA technique is utilized to linearize the nonlinear channel model, and the approximate error can be viewed as a state uncertainty. Then, the design of the FIR equalizer is transformed into LMIs, and the coefficients of the FIR equalizer can be obtained by solving an LMI optimization problem. Finally, numerical examples are included to illustrate the effectiveness of the proposed methodology.

Notice of Violation of IEEE Publication Principles - Design and Simulation of FIR Digital Filter Using Fuzzy Adaptive Method

“…To validate the effectiveness and performance of the proposed approach, we define the indexes adopted and compare our results to those presented in [8], using the performance figures originally employed there, namely the peak magnitude of complex error…”

“…This is a research intensive area, aiming at obtaining more general and innovative techniques that are able to face new and complex engineering problems [1]. Alternative approaches, such as neural networks, genetic algorithms, particle swarm optimization, and other tools related to computational intelligence [2][3] [8], have been adopted to the synthesis of design methods capable of satisfying constraints which would be unattainable. In some cases, such initiatives were successful and showed better performance than the conventional approaches.…”