Accession Number : ADA303769

Title :   Computational Structures of Multirate Filter Banks.

Descriptive Note : Final rept. 30 Sep 93-30 Sep 95,

Corporate Author : CITY COLL NEW YORK

Personal Author(s) : Tolimieri, Richard

PDF Url : ADA303769

Report Date : 20 NOV 1995

Pagination or Media Count : 5

Abstract : We have created new tools for (1) Developing a formalism in terms of shift and stride permutation operators and scalable tensor product kernels for modeling complex networks of multirate filter systems and an algebra for automatic manipulation of fundamental parameters including network topologies. (2) Applying new mathematical tools to the theory of multidimensional multirate filter structure which bring out the fundamental role played by direct sum decompositions and short exact sequences and permit a unified treatment of both standard and new algorithms - featuring new topologies, communication paths and data structures. (3) Developing new algorithms for constructing families of unitary transforms (group transforms) from the Clifford theory of idempotents and studying the applications of these unitary transforms to multirate filtering and transform coding. (AN)

Descriptors :   *ALGORITHMS, *SOFTWARE ENGINEERING, *COMPUTER NETWORKS, DATA BASES, MATHEMATICAL MODELS, IMAGE PROCESSING, DATA MANAGEMENT, COMPUTER AIDED DESIGN, DISTRIBUTED DATA PROCESSING, COMPUTER COMMUNICATIONS, PARALLEL PROCESSING, MATHEMATICAL FILTERS, MULTIPROCESSORS, SYSTEMS ANALYSIS, RESEARCH MANAGEMENT, PERMUTATIONS, CONTROL SEQUENCES.

Subject Categories : Computer Programming and Software
      Computer Systems

Distribution Statement : APPROVED FOR PUBLIC RELEASE