Fixed-order H2 and Hinfinity optimal deconvolution filter designs

For the simplicity of implementation and saving of operation time, the "xed-order optimal deconvolution "lter design is appealing for engineers in signal processing from practical design perspective. In this study, a design method based on genetic algorithms is proposed to simultaneously treat with H 2 and H = optimal signal reconstruction design problem with prescribed "lter order. Genetic algorithms are optimization and machine learning algorithms, initially inspired from the processes of natural selection and evolutionary genetics. They tend to "nd the global optimum solution without becoming trapped at local minima. Both IIR and FIR cases are discussed in this study. The convergence property of our design algorithm is also discussed by Markov chain method. Two design examples of H 2 and H = optimal deconvolution with "xed-order "lters are given to illustrate the design procedure and the performance of the proposed design methods, respectively. ( 2000 Elsevier Science B.V. All rights reserved.