Optimum noise reduction of conjugate quadrature filter bank

This paper considers design of L-infinity- and L-2-optimal CQF bank which r educes the influence of the additive noise on the output in an optimal fash ion. To deal with this design problem, we first give a glance at the charac terization of solutions set of the so-called Smith-Barnwell equation, where by we derive the explicit expression of all optimum solutions for the deter ministic-but-unknown disturbance. We also treat the stochastic noise case, and show that the average power of the output due to the channel noise cann ot be controlled by the choice of filters. Numerical examples are given to illustrate the results developed in the paper. (C) 2000 Elsevier Science B. V. All rights reserved.