Representation and Analysis of Signals. Part XXVIII. Zero-Crossings of Shot-Noise Processes.

Abstract

The work is directed at the problem of computing beta, the expected number of zero-crossings per unit time, for random processes of shot-noise type. For the case that the underlying impulse response of the process has finite time duration, sufficient conditions for beta to be given in terms of an expression involving a characteristic function of the process are found. A series expansion for beta in powers of lambda, the parameter of the imbedded Poisson process, is developed, and beta(lambda) is shown to be an entire function. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0735890

Entities

People

  • Charles L. White Jr

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Crossings
  • Electromagnetic Interference
  • Electromagnetic Radiation
  • Functions (Mathematics)
  • Interference (Communications)
  • Mathematical Analysis
  • Mathematics
  • Radiation
  • Shot Noise

Readers

  • Calculus or Mathematical Analysis
  • Optical Physics and Photonics.