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OverviewOptimum envelope-constrained filter design is concerned with time-domain synthesis of a filter such that its response to a specific input signal stays within prescribed upper and lower bounds, while minimizing the impact of input noise on the filter output or the impact of the shaped signal on other systems depending on the application. In many practical applications, such as in TV channel equalization, digital transmission, and pulse compression applied to radar, sonar and detection, the soft least square approach, which attempts to match the output waveform with a specific desired pulse, is not the most suitable one. Instead, it becomes necessary to ensure that the response stays within the hard envelope constraints defined by a set of continuous inequality constraints. The main 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 the monograph includes problem formulation, numerical optimization algorithms, filter robustness issues and practical examples of the application of envelope constrained filter design. Postgraduate students, researchers in optimization and telecommunications engineering, and applied mathematicians should find this work useful. Full Product DetailsAuthor: Ba-Ngu Vo , Antonio Cantoni , Kok Lay Teo , Lay Kok TeoPublisher: Springer Imprint: Springer Edition: 2001 ed. Volume: 56 Dimensions: Width: 15.50cm , Height: 2.00cm , Length: 23.50cm Weight: 1.490kg ISBN: 9780792371380ISBN 10: 0792371380 Pages: 330 Publication Date: 31 October 2001 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1 Introduction.- 2 Filtering with Convex Response Constraints.- 3 Analysis and Problem Characterization.- 4 Discrete-Time EC Filtering Algorithms.- 5 Numerical Methods for Continuous-Time EC Filtering.- 6 Robust Envelope Constrained Filtering.- Appendix A Mathematical Background.- A.1 Topological Space.- A.2 Metric Spaces.- A.3 Vector Spaces.- A.4 Normed Spaces.- A.5 Inner Product Spaces.- A.6 Linear Operators.- A.7 Linear Functionals and Dual Spaces.- A.8 Measures and Integration.- Appendix B Optimization Theory.- B.1 Projection Theorem.- B.2 Hahn-Banach Theorem.- B.3 Positive Cones and Convex Mappings.- B.4 Gateaux and Fréchet Differentials.- B.5 Lagrange Multipliers.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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