Journal of Control Science and Engineering 
Volume 2008 (2008), Article ID 143085, 7 pages
doi:10.1155/2008/143085
Research Article

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

Yang Shi1 and Tongwen Chen2

 1Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5A9, Canada
2Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, T6G 2V4, Canada
Received 17 April 2007; Revised 30 November 2007; Accepted 3 March 2008

Recommended by Brett Ninness

Abstract

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.