REALIZATION AND IMPLEMENTATION OF STATE-SPACE HR DIGITAL FILTERS

in whole or in part by mimeograph or other means, without the permission o f the author. Supervisors: Dr. F. El-Guibaly and Dr. P. Agathoklis Digital filters form an important part in communications and information processing sys-tems, and are increasingly incorporated in consumer electronics products. In this thesis, the realization and the impiementation ofIIR digit::\l filters are consid-ered. New techniques for obtaining realizations of UR filters that yield acceptable perfor-mance under finite wordlength constraints and are suitable for efficient hardware implementation are presented. Two main classes of efficient realizations have been obtained based on the state-space description. The first class of realizations consists of cascade or parallel connection of second-order sections having coefficients which are power-of-two and/or sum-of-two power-of-two. It is shown that these real~zations provide low output roundoff noise, freedom of limit cycles and low computational complexity. The second class of realizations proposed is based on using simple residue-feedbac