Accession Number:

ADA513380

Title:

Calculation of Entropy for a Sinusoid with Beta-Distributed Phase

Descriptive Note:

Journal article

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON DC OPTICAL SCIENCES DIV

Report Date:

2009-12-02

Pagination or Media Count:

12.0

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.

Subject Categories:

  • Numerical Mathematics
  • Miscellaneous Detection and Detectors
  • Non-Radio Communications
  • Optics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE