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http://dx.doi.org/10.7840/KICS.2011.36A.4.325

A Geometric Derivation of the Craig Representation for the Two-Dimensional Gaussian Q-Function  

Park, Seung-Keun (한국전자통신연구원 전자파환경연구팀)
Lee, Il-Kyoo (공주대학교 전기전자제어공학부)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.36, no.4A, 2011 , pp. 325-328 More about this Journal
Abstract
In this paper, we present a new and simple derivation of the Craig representation for the two-dimensional (2-D) Gaussian Q-function in the viewpoint of geometry. The geometric derivation also leads to an alternative Craig form for the 2-D Gaussian Q-function. The derived Craig form is newly obtained from the geometry of two wedge-shaped regions generated by the rotation of Cartesian coordinates over two correlated Gaussian noises. The presented Craig form can play a important role in computing the probability represented by the 2-D Gaussian Q-function.
Keywords
Geometric Derivation; Two-dimension; Craig; Gaussian Q-function; Cartesian;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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