On the calculation of the generalized Q-Function via Parl's method
IEEE Transactions on Information Theory
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Probability Distributions Involving Gaussian Random Variables: A Handbook for Engineers, Scientists and Mathematicians
On the Mutual information distribution of MIMO rician fading channels
IEEE Transactions on Communications
New bounds for the generalized Marcum Q-function
IEEE Transactions on Information Theory
Jensen-cotes upper and lower bounds on the Gaussian Q-function and related functions
IEEE Transactions on Communications
IEEE Transactions on Wireless Communications
IEEE Transactions on Wireless Communications
Two noncentral chi-square generalizations
IEEE Transactions on Information Theory
Algorithm for calculating the noncentral chi-square distribution
IEEE Transactions on Information Theory
New bounds for the Marcum Q-function
IEEE Transactions on Information Theory
Largest eigenvalue of complex Wishart matrices and performance analysis of MIMO MRC systems
IEEE Journal on Selected Areas in Communications
New bounds for the generalized Marcum Q-function
IEEE Transactions on Information Theory
Jensen-cotes upper and lower bounds on the Gaussian Q-function and related functions
IEEE Transactions on Communications
Arbitrarily tight upper and lower bounds on the Gaussian Q-function and related functions
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Supertight algebraic bounds on the Gaussian Q-function
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
IEEE Transactions on Information Theory
Hi-index | 754.96 |
Monotonicity criteria are established for the generalized Marcum Q-function, QM(α,β), the standard Nuttall Q-function, QMN(α,β), and the normalized Nuttall Q-function, QM,N(α,β), with respect to their real order indices M,N. Besides, closed-form expressions are derived for the computation of the standard and normalized Nuttall Q-functions for the case when M,N are odd multiples of 0.5 and M ≥ N. By exploiting these results, novel upper and lower bounds for QM,N(α,β) and QM(α,β) are proposed. Furthermore, specific tight upper and lower bounds for QM(α,β), previously reported in the literature, are extended for real values of M. The offered theoretical results can be efficiently applied in the study of digital communications over fading channels, in the information-theoretic analysis of multiple-input multiple-output systems and in the description of stochastic processes in probability theory, among others.