Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Optimal Design of Noisy Transmultiplexer Systems Huan Zhou1 and Lihua Xie2 | Hindawi Publishing Corporation EURASIP Journal on Applied Signal Processing Volume 2006 Article ID 64645 Pages 1-8 DOI ASP 2006 64645 Optimal Design of Noisy Transmultiplexer Systems Huan Zhou1 and Lihua Xie2 1 Signal Processing Group Institute of Physics University of Oldenburg 26111 Oldenburg Germany 2 School of Electrical and Electronic Engineering Nanyang Technological University Singapore 639798 Received 31 October 2004 Revised 26 August 2005 Accepted 19 September 2005 Recommended for Publication by Yuan-Pei Lin An optimal design method for noisy transmultiplexer systems is presented. For a transmultiplexer system with given transmitters and desired crosstalk attenuation we address the problem of minimizing the reconstruction error while ensuring that the crosstalk of each band is below a prescribed level. By employing the mixed H2 H optimization we will ensure that the system with suboptimal reconstruction error is more robust and less sensitive to the changes of input signals and channel noises. Due to the overlapping of adjacent subchannels crosstalk between adjacent channels is expected. And the problem of crosstalk attenuation is formulated as an optimization problem solved in terms of linear matrix inequalities LMIs . The simulation examples demonstrate that the proposed design performs better than existing design methods. Copyright 2006 Hindawi Publishing Corporation. All rights reserved. 1. INTRODUCTION Transmultiplexers TMUX were studied in the early 1970 s by Bellanger and Daguet 1 for telephone applications with original intention to convert data between time division multiplexed TDM format and frequency-division multiplexed FDM format. They have been successfully utilized for multiuser communications. A multi-input multi-output MIMO M-band conventional TMUX system Figure 1 with critical sampling . all interpolation factors equal to band number also called as minimally interpolated TMUX in 2 is well suited for simultaneous .