Continuous-time envelope-constrained filter design via Laguerre filters and H∞ optimization methods

Envelope-constrained ltering is concerned with the design of a time-invariant lter to process a given input signal such that the noiseless output of the lter is guaranteed to lie within a prespeci ed output mask. In this paper, using Laguerre lters andH1 optimization techniques, the continuous-time envelope-constrained lter design problem has been reformulated and solved as a constrained H1 model-matching problem. To illustrate the e ectiveness of the design method, a numerical example is presented which deals with the design of an equalization lter for a digital transmission channel.