Hybrid Spectral Transform Diagrams.

Abstract

We give a uniform algebraic framework for computing hybrid spectral transforms in an efficient manner. Based on properties of the Kronecker product, we derive a set of recursive equations, which leads naturally to an algorithm for computing such transforms efficiently. As a result, many applications of transforms like the Walsh transform and the Reed-Muller transform, which were previously impossible because of memory constraints, have now become feasible. The same set of recursive equations also gives a new way of explaining hybrid transform diagrams, an efficient data-structure for integer valued boolean functions.

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Document Details

Document Type
Technical Report
Publication Date
Jun 04, 1997
Accession Number
ADA327546

Entities

People

  • E. M. Clarke
  • M. Fujita
  • W. Heinle

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Autonomy
  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Arithmetic
  • Computations
  • Computer Science
  • Computer-Aided Design
  • Digital Circuits
  • Elimination
  • Equations
  • Graph Theory
  • Identities
  • Linear Algebra
  • Notation
  • Numerical Analysis
  • Sequences
  • Spectra
  • Trees (Data Structures)

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Computer Programming and Software Development.