Calculation of Entropy for a Sinusoid with Beta-Distributed Phase

Abstract

In this paper, an analytical expression is developed for the differential entropy of a sinusoid with a Beta-distributed phase angle. This particular signal model is prevalent in optical communications, however an expression for the associated differential entropy does not currently exist. The expression we derive is approximate as it relies on a series expansion for one of the key terms needed in the derivation. However, we are able to show that the approximation is accurate (error less than or equal to 5 %) for a wide variety of Beta parameter choices.

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Document Details

Document Type
Technical Report
Publication Date
Dec 02, 2009
Accession Number
ADA513380

Entities

People

  • Colin C. Olson
  • Frank Bucholtz
  • Jonathan M. Nichols
  • Joseph V. Michalowicz

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Coefficients
  • Distribution Functions
  • Electronic Mail
  • Equations
  • Integrals
  • Military Research
  • Modulation
  • Numerical Integration
  • Optical Communications
  • Phase Modulation
  • Power Series
  • Probability
  • Probability Density Functions
  • Probability Distribution Functions
  • Probability Distributions
  • Random Variables
  • Sine Waves

Readers

  • Approximation Theory.
  • Radio communications and signal processing.
  • Statistical inference.