Filter Design with Time Domain Mask Constraints: Theory and Applications

Abstract

Instead, it becomes necessary to ensure that the response stays within the hard envelope constraints defined by a set of continuous inequality constraints. The advantage of using the hard envelope-constrained filter formulation is that it admits a whole set of allowable outputs. From this set one can then choose the one which results in the minimization of a cost function appropriate to the application at hand. The signal shaping problems so formulated are semi-infinite optimization problems. This monograph presents in a unified manner results that have been generated over the past several years and are scattered in the research literature. The material covered in this monograph includes problem formulation, numerical optimization algorithms, filter robustness issues and practical examples of the application of envelope-constrained filter design." "Audience: Postgraduate students, researchers in optimization and telecommunications engineering, and applied mathematicians."--Jacket. Ch. 1. Introduction -- Ch. 2. Filtering with Convex Response Constraints -- Ch. 3. Analysis and Problem Characterization -- Ch. 4. Discrete-Time EC Filtering Algorithms -- Ch. 5. Numerical Methods for Continuous-Time EC Filtering -- Ch. 6. Robust Envelope Constrained Filtering -- App. A. Mathematical Background -- App. B. Optimization Theory.