Bimeasures and Sampling Theorems for Weakly Harmonizable Processes.

Abstract

The process be described in this report can be determined by sampling at fixed intervals nh, n = 0, + or - 1,... , h = pi/alpha > 0. A corresponding result is also obtained for a more general Cramer class. To carry out this analysis, it is necessary to use the properties of bimeasures. Some aspects of the bimeasure theory and its distinction from the Lebesgue theory are included. This is used essentially for the analysis of harmonizable processes, and has independent interest.

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Document Details

Document Type
Technical Report
Publication Date
Sep 27, 1982
Accession Number
ADA120937

Entities

People

  • Derek K. Chang
  • M. M. Rao

Organizations

  • University of California, Riverside

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Coefficients
  • Covariance
  • Data Science
  • Information Science
  • Integrals
  • Intervals
  • Mathematics
  • Measure Theory
  • Probability
  • Random Variables
  • Scalar Functions
  • Sequences
  • Stationary Processes
  • Statistics
  • Stochastic Processes
  • Theorems
  • Translations

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.