On Models for 1/f Noise Processes

Abstract

A noise phenomenon which is often dominant at low frequencies is comprised of those processes which are called 1/f noise, flicker effect, and sporadic processes. These processes are characterized by a power spectral density which varies as 1/((the absolute value of f) to the power alpha) where 0 = or < alpha = or < 2. They have been observed over a wide range of frequencies in such diverse situations as vacuum tube and semiconductor noise, the spectrum of sea waves, and ultra-precise time standards. Some of these processes are not admissable in the usual Wiener-Khinchin theory of random processes. On the other hand, their extensive occurrence suggests that some accomodation must be made for them in the organized theory. It is the purpose of this paper to consider several approaches to the modeling of such 1/f processes. It will be shown that models do exist which satisfactorily explain observed phenomena while retaining adequate connection with the underlying physics of the model.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0721450

Entities

People

  • John B. Thomas
  • Kevin C. Daly

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Crystal Oscillators
  • Data Science
  • Electron Tubes
  • Frequency
  • Frequency Standards
  • Information Science
  • Intervals
  • Measurement
  • Noise
  • Probability
  • Probability Density Functions
  • Random Variables
  • Stationary
  • Stationary Processes
  • Time Standards
  • White Noise

Readers

  • Acoustics.
  • Systems Analysis and Design
  • Theoretical Analysis.

Technology Areas

  • Microelectronics