Optimal design of noisy transmultiplexer systems

Abstract

An optimal design method for noisy transmultiplexer systems ispresented. For a transmultiplexer system with given transmittersand desired crosstalk attenuation, we address the problem ofminimizing the reconstruction error while ensuring that thecrosstalk of each band is below a prescribed level. By employingthe mixed H2 /H ∞ optimization, we will ensure that the system with suboptimal reconstruction erroris more robust and less sensitive to the changes ofinput signals and channel noises. Due to the overlapping ofadjacent subchannels, crosstalk between adjacent channels isexpected. And the problem of crosstalk attenuation is formulatedas an H∞ optimization problem, solved in terms of linearmatrix inequalities (LMIs). The simulation examples demonstratethat the proposed design performs better than existing designmethods. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved.