Multi-Scale Correlation Functions Associated with Polynomials of the Diffusion Operator

Abstract

Correlation functions associated with the inverse covariances represented by polynomials of the homogeneous diffusion operator D are obtained analytically for an arbitrary polynomial of D, constrained by the positive-definiteness condition of the covariance operator.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 2012
Accession Number
ADA584955

Entities

People

  • Alexei Sentchev
  • Max I. Yaremchuk

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Assimilation
  • Covariance
  • Diffusion
  • Filters
  • Frequency
  • Frequency Bands
  • High Resolution
  • Mathematical Filters
  • Military Research
  • New York
  • Numbers
  • Oceans
  • Polynomials
  • Spectra
  • Statistical Analysis
  • Surface Waves
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra