EXTENSIONS OF LINEAR, LEAST-SQUARES SAMPLING THEORY,

Abstract

This paper presents some new results in the interpolation theory of random processes. These results are applied to the problem of recon structing a random waveform from instantaneous samples. The main concern is with the removing of some of the restrictions of the interpolation method that is based on the ordinary sampling theory. In particular it is not assumed that an infinite number of samples is available, nor that the sampled random process is band-limited. On the other hand, the authors wish to preserve the practical (but not theoretical) simplicity of the type of interpolation that corresponds to time-invariant filtering. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 10, 1963
Accession Number
AD0411848

Entities

People

  • Donald W. Tufts
  • Nicolas Johnson

Organizations

  • Harvard University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Collecting Methods
  • Filtration
  • Interpolation
  • Mathematical Analysis
  • Sampling
  • Waveforms

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.