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Journal of Control Science and Engineering
Volume 2008, Article ID 143085, 7 pages
Research Article

2-Norm-Based Iterative Design of Filterbank Transceivers: A Control Perspective

1Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan, Canada S7N 5A9
2Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2V4

Received 17 April 2007; Revised 30 November 2007; Accepted 3 March 2008

Academic Editor: Brett Ninness

Copyright © 2008 Yang Shi and Tongwen Chen. 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.


This paper considers design of filterbank-based transceivers. A composite error criterion is proposed to capture all the three traditional distortions. Incorporating noise attenuation and filter bandlimiting properties into this error criterion, an optimal design procedure is developed and applied to a transceiver design example, yielding an FIR transceiver that has good frequency-selective properties and is close to perfect reconstruction. As a least-squares solution is given in closed form in each iteration, the algorithm is easy to implement.