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


Vol. 36,  No. 4, pp. 325-328, Apr.  2011


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  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.

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  Cite this article

[IEEE Style]

S. Park and I. Lee, "A Geometric Derivation of the Craig Representation for the Two-Dimensional Gaussian Q-Function," The Journal of Korean Institute of Communications and Information Sciences, vol. 36, no. 4, pp. 325-328, 2011. DOI: .

[ACM Style]

Seungkeun Park and Il-kyoo Lee. 2011. A Geometric Derivation of the Craig Representation for the Two-Dimensional Gaussian Q-Function. The Journal of Korean Institute of Communications and Information Sciences, 36, 4, (2011), 325-328. DOI: .

[KICS Style]

Seungkeun Park and Il-kyoo Lee, "A Geometric Derivation of the Craig Representation for the Two-Dimensional Gaussian Q-Function," The Journal of Korean Institute of Communications and Information Sciences, vol. 36, no. 4, pp. 325-328, 4. 2011.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880