Computational Structures of Multirate Filter Banks.

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)

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Document Details

Document Type
Technical Report
Publication Date
Nov 20, 1995
Accession Number
ADA303769

Entities

People

  • Richard Tolimieri

Organizations

  • City College of New York

Tags

Communities of Interest

  • Biomedical
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computer Programming
  • Computing System Architectures
  • Decomposition
  • Digital Signal Processing
  • Electrical Engineering
  • Electronics
  • Mathematics
  • Network Topology
  • Permutations
  • Sequences
  • Signal Processing
  • Standards
  • Target Recognition
  • Topology
  • Universities

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  • Computational Fluid Dynamics (CFD)
  • Image Processing and Computer Vision.
  • Linear Algebra