Calculation of Entropy for a Sinusoid with Beta-Distributed Phase

Entropy

Joseph V. Michalowicz²  Colin C. Olson¹  Frank Bucholtz² 

[1] NRC Postdoctoral Research Associate, Naval Research Laboratory, Optical Science Division, Washington DC 20375, USA;U.S. Naval Research Laboratory, Optical Science Division, Washington DC 20375, USA; E-Mails:

关键词: differential entropy;    sine wave;    Beta distribution;    phase noise;   

DOI  :  10.3390/e11040949

来源: mdpi

【 摘 要 】

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 ) for a wide variety of Beta parameter choices.

【 授权许可】

CC BY   
© 2009 by the authors; licensee MDPI, Basel, Switzerland.