Sampled-data H^∞ Design for Digital Communication Systems

Abstract

A design procedure for data compression and equalization for digital communication systems is developed based on the multirate sampled-data H^∞ control theory. The procedure provides transmitting/receiving filters so as to minimize the error between the original signal and the received signal with a time delay, and to reduce the noise added to the channel. While the system is multirate and infinite-dimensional due to up-and downsampling and a delay, the design problem can be reduced to a finite-dimensional discrete-time problem using the lifting and the FSFH (fast-sample and fast-hold) approximation. Numerical examples are presented to illustrate the effectiveness of the proposed method.