Sampling Representations and Approximations for Certain Functions and Stochastic Processes.

Abstract

Sampling representations and approximations of deterministic and random signals are important in communication and information theory. Finite sampling approximations are derived for certain functions and processes which are not bandlimited, as well as bounds on the approximation errors. Also derived are sampling representations for bounded linear operators acting on certain classes of bandlimited functions and processes; these representations enable one to reconstruct the image of a function (or a process) under a bounded linear operator using the samples of the image. Finally, sampling representations for distributions and random distributions are obtained. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA081533

Entities

People

  • Muhammad Kamel Habib

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Fourier Analysis
  • Fourier Series
  • Functional Analysis
  • Information Processing
  • Information Theory
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Probability
  • Random Variables
  • Stationary Processes
  • Statistics
  • Stochastic Processes
  • Theorems
  • Walsh Functions

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.