Journal
IEEE COMMUNICATIONS LETTERS
Volume 15, Issue 5, Pages 479-481Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCOMM.2011.032111.102440
Keywords
Error probability; Gaussian-Q function; Gauss quadrature rule
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Funding
- Grants-in-Aid for Scientific Research [23560440] Funding Source: KAKEN
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Based on the semi-infinite Gauss-Hermite quadrature rule defined in [0,infinity), we present an accurate and efficient approximation to the Gaussian Q-function, which is expressed as a finite sum of exponential functions. We then extend to address the problem of a product of Gaussian Q-functions averaged over Nakagami-m fading, ending up with a closed-form solution applicable for any real m >= 0.5. Numerical examples show that the proposed method with only N = 2 terms can give error probabilities (in closed form) that are virtually indistinguishable from the exact results obtained by numerical integration.
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