Asymptotic Code Vector Density in Topographic Vector Quantisers

Abstract

This memorandum uses a noise-robust vector quantiser model to derive expressions for the asymptotic code vector density pin various types of topographic vector quantisers. A topographic vector quantiser is not identical to a standard (ie Kohonen) topographic mapping, but the differences are minimal. In all the cases studied (scalar and vector quantisation with various symmetric topographic neighbourhoods). One obtains the asymptotic result rho proportional to P to the power N/(N+2, where N is the input dimensionality and P is the input probability density. Thus the asymptotic code vector densities of a topographic vector quantiser and a standard vector quantiser are the same. (rh)

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Document Details

Document Type
Technical Report
Publication Date
May 24, 1990
Accession Number
ADA226733

Entities

People

  • S. P. Luttrell

Organizations

  • Royal Signals and Radar Establishment

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Cartography
  • Coding
  • Composite Materials
  • Covariance
  • Decoding
  • Differential Equations
  • Distortion
  • Equations
  • Histograms
  • Intervals
  • Lyapunov Functions
  • Notation
  • Probability
  • Simulations
  • Training
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra
  • Speech Processing/Speech Recognition.