Shannon's Theorem,

Abstract

This report is concerned with some of the practical aspects of Shannon's Theorem, i.e., that a band-limited time series is completely determined by its value at equally spaced time intervals, delta t, if 1/2 delta t is greater than the bandwidth. Thus, f(t) = sum over n of f(n delta t) h(t - n delta t), where 1/2 delta t is greater than the bandwidth of f. In practice, f is only approximately band limited and the series contains only a finite number of terms. In this report, the effects of bandwidth and truncation of the series are studied. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 24, 1967
Accession Number
ADA033131

Entities

People

  • G. S. Innis

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Bandwidth
  • Conductive Polymers
  • Electronics Laboratories
  • Errors
  • Filters
  • Filtration
  • Frequency
  • Frequency Bands
  • Intervals
  • Magnetic Tape
  • Military Research
  • Oceanography
  • Plotting
  • Time Intervals
  • Transparencies

Readers

  • Riverine Ecology
  • Statistical inference.

Technology Areas

  • Space
  • Space - Orbital Debris