ON THE PROBABILISTIC CIRCUIT THEORY, II.

Abstract

A probabilistic circuit is an electrical circuit where the element values in the circuit are not fixed, but are defined by some probability functions. The existing literature deals almost solely with the case of gaussian signal and noise. In the case of a probabilistic system the central problem is a characterization of over-all system functions in terms of component probability distributions. The present research reported in Part II revolves around this theme, suggesting the successive approximation of lognormal and normal probability distributions. An additive communication channel in the presence of independent noise is perhaps the most widely simulated model of communication. In the present work, emphasis is placed on signals which are nearly normal in contrast with strictly normal signals used in literature. The novel problem presented in this research is the possibility of finding new upper limits for the transmission of information in the presence of a certain type of nongaussian noise. Part III of this report contains the main results of our research in this area. Part IV contains the necessary background of probability theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0622829

Entities

People

  • F. M. Reza

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Circuits
  • Communication Channels
  • Contrast
  • Electrical Circuits
  • Literature
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables

Readers

  • Integrated Circuit Design and Technology.
  • Statistical inference.
  • Theoretical Analysis.