A new approach to the optimization of envelope-constrained filters with uncertain input

In envelope-constrained filtering, the filter is optimized subject to the constraint that the filter response to a given signal lies within a specified envelope or mask. In a number of signal processing applications, the envelope-constrained filtering problem is more directly relevant than least squares approximation-based approaches. The present authors develop an efficient method for solving an extended version of the envelope-constrained filtering problem in which the input pulse is not known exactly but is known to lie within a specified mask. This envelope-constrained problem with uncertain input (ECUI) has been examined elsewhere, but the algorithm proposed there for its solution has, in general, inferior convergence characteristics