SOME BOUNDS ON THE TAILS OF THE POWER SPECTRUM,

Abstract

Consideration is given to several different classes of upper bounds on the tails of the power spectral density of a stationary random process. These bounds are based on the Chernoff Bound, Chebyshev-Bienayme Bounds and the Mellin-Transform Bound for random processes. Some optimization and comparisons of the bounds are given through two practical examples, the outputs of an angle-modulator and a square-law detector. For a given range of frequency and a given autocorrelation function, either of these bounds may be best. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 24, 1969
Accession Number
AD0684740

Entities

People

  • Kai Hwang

Organizations

  • University of HawaiĘ»i System

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Autocorrelation
  • Data Science
  • Detectors
  • Diffraction
  • Frequency
  • Information Science
  • Mathematics
  • Modulators
  • Optimization
  • Power Spectra
  • Spectra
  • Stationary
  • Warning Systems
  • Wave Phenomena

Fields of Study

  • Mathematics

Readers

  • Statistical inference.