References
- Nuttall AH. Some integrals involving the Q-function. Technical report, Springfield, VA, Naval Underwater Systems Center Newport. 1972;1–41.
- Marcum JI. A statistical theory of target detection by pulsed radar: mathematical appendix. RAND Corporation; 1948. Research Memorandum number 753, US Air Force Project RAND.
- Kang M, Alouini MS. Largest eigenvalue of complex Wishart matrices and performance analysis of MIMO MRC systems. IEEE J Sel Areas Commun. 2003;21(3):418–426. doi: 10.1109/JSAC.2003.809720
- Matthaiou M, McKay M, Smith P, Nossek J. On the condition number distribution of complex Wishart matrices. IEEE Trans Commun. 2010;58(6):1705–1717. doi: 10.1109/TCOMM.2010.06.090328
- Jin S, McKay MR, Gao X, Collings IB. MIMO multichannel beamforming: SER and outage using new eigenvalue distributions of complex noncentral Wishart matrices. IEEE Trans Commun. 2008;56(3):424–434. doi: 10.1109/TCOMM.2008.060115
- Ordoñez LG, Palomar DP, Fonollosa J. Ordered eigenvalues of a general class of Hermitian random matrices with application to the performance analysis of MIMO systems. IEEE Trans Signal Process. 2009;57(2):672–689. doi: 10.1109/TSP.2008.2007602
- Simon MK. The Nuttall Q function - its relation to the Marcum Q function and its application in digital communication performance evaluation. IEEE Trans Commun. 2002;50(11):1712–1715. doi: 10.1109/TCOMM.2002.805270
- Gradshteyn IS, Ryzhik IM. Table of integrals series and products. 7th ed. San Diego, CA: Academic Press Inc; 2007.
- Brychkov YA. On some properties of the Marcum Q function. Integral Transforms Spec Funct. 2012;23(3):177–182. doi: 10.1080/10652469.2011.573184
- Morales-Jimenez D, Lopez-Martinez FJ, Martos-Naya E, Paris JF, Lozano A. Connections between the generalized Marcum Q-function and a class of hypergeometric functions. IEEE Trans Inf Theory. 2014;60(2):1077–1082. doi: 10.1109/TIT.2013.2291198
- Brychkov YA. On some properties of the Nuttall function Qμ,ν(a, b). Integral Transforms Spec Funct. 2014;25(1):34–43. doi: 10.1080/10652469.2013.812172
- O'Driscoll C, Murphy CC. A simplified expression for the probability of error for binary multichannel communications. IEEE Trans Commun. 2009;57(1):32–35. doi: 10.1109/TCOMM.2009.0901.060131
- Schwartz M, Bennett WR, Stein S. Communication systems and techniques. New York: McGraw-Hill; 1966.
- Weber H, Arfken G. Essential mathematical methods for physicists. Burlington, MA: Academic Press; 2004.
- Erdélyi A, Magnus W, Oberhettinger F, Tricomi FG. Higher transcendental functions, Vol. I. New York: McGraw-Hill Book Company; 1953.