Webdigital communication systems over generalized fading channels. Employing alternative forms of such classical mathematical functions as the Gaussian Q-function, the Marcum Q-function, and the incomplete Gamma function, the book WebMay 17, 2024 · The distribution of ∑ i = 1 ν ( Z i + δ i) 2 where Z i are independent standard normal variables and δ i are constants. λ = ∑ i = 1 ν δ i 2 > 0. (In communications it is …
[1311.0681] Computation of the Marcum Q-function
WebNov 4, 2013 · The algorithm for computing the Marcum functions combines different methods of evaluation in different regions: series expansions, integral representations, … WebAug 1, 2009 · The study of the generalized Marcum function of the second kind is motivated by the importance of the generalized Marcum Q-function in the electrical … lews pro sp review
Inequalities for the generalized Marcum Q-function
WebApr 10, 2024 · First, we derive the analytical expression of the outage probability with a generalized Marcum Q-function. Then, we develop an alternating optimization algorithm to minimize the outage probability by capitalizing on the generalized eigenvalue-eigenvectors. Moreover, the ergodic capacity is deduced with statistical CSI and then optimized by ... http://webhome.auburn.edu/~yzs0078/paper/journal/MarcumQ_ineq_AMC08.pdf The Marcum Q-function occurs as a complementary cumulative distribution function for noncentral chi, noncentral chi-squared, and Rice distributions. In engineering, this function appears in the study of radar systems, communication systems, queueing system, and signal processing. See more In statistics, the generalized Marcum Q-function of order $${\displaystyle \nu }$$ is defined as where $${\displaystyle b\geq 0}$$ and See more It is convenient to re-express the Marcum Q-function as $${\displaystyle P_{N}(X,Y)=Q_{N}({\sqrt {2NX}},{\sqrt {2Y}}).}$$ See more The generalized Marcum Q-function can be used to represent the cumulative distribution function (cdf) of many random variables: • If $${\displaystyle X\sim \mathrm {Exp} (\lambda )}$$ is a exponential distribution with rate parameter See more Finite integral representation The generalized Marcum Q-function can alternatively be defined as a finite integral as See more Based on monotonicity and log-concavity Various upper and lower bounds of generalized Marcum-Q function can be obtained using monotonicity and log-concavity of the function $${\displaystyle \nu \mapsto Q_{\nu }(a,b)}$$ and the fact that we have … See more 1. ^ J.I. Marcum (1960). A statistical theory of target detection by pulsed radar: mathematical appendix, IRE Trans. Inform. Theory, vol. 6, 59-267. 2. ^ M.K. Simon and M.-S. … See more mccormick newspaper sc