Generalized marcum q function
WebMay 29, 2011 · On Log-concavity of the Generalized Marcum Q Function Authors: Yaming Yu Abstract No full-text available ... Since 1 ( ) is positive and concave, it is also log-concave. Moreover, we know that... WebOutage performance of a cognitive multi-relay system using imperfect channel state information (CSI) of interfering links is formulated in this paper. In the considered cognitive system, it is assumed that wireless channels in the secondary network
Generalized marcum q function
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http://webhome.auburn.edu/~yzs0078/paper/journal/MarcumQ_ineq_AMC08.pdf WebMay 1, 2015 · In this paper, we consider the generalized Marcum Q-function of order ν>0 real, defined bywhere a,b⩾0, Iν stands for the modified Bessel function of the first kind and the right hand side of ...
WebTo compute the value of the generalized Marcum Q-function for the specified inputs, this function uses a calculation based on a method illustrated by Shnidman in . This … WebTHE GENERALIZED MARCUM Q−FUNCTION: AN ORTHOGONAL POLYNOMIAL APPROACH SZILARD ANDR´ AS,´ ARP´ AD BARICZ, AND YIN SUN´ Abstract. A …
WebJan 25, 2024 · The symmetric difference of the generalized Marcum Q -function is defined as. \begin {aligned} \Delta Q_ {\nu } (a,b)=Q_ {\nu } (a,b)-Q_ {\nu } (b,a), \end … Web• Derived new representations and generic bounds for the first-order and the generalized Marcum Q-functions by using a new geometric approach. …
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 …
WebNoncentral chi-squared Distribution. #. 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 called the Marcum-Q function). It can be thought of as a Generalized Rayleigh-Rice distribution. The two shape parameters are ... cheap flights from mumbai to ahmedabadWebSep 1, 2008 · The generalized Marcum Q-function, Qm(a,b), is here explained geometrically as the probability of a 2m-dimensional, real, Gaussian random vector, whose mean vector has a Frobenius norm of a, lying … Expand. 37. View 2 excerpts; Save. Alert. Supplements to Known Inequalities for Some Special Functions. cvs rayford and east hawthorneThe 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 cvs rayfordWebOct 16, 2010 · A novel power series representation of the generalized Marcum $Q-$function of positive order involving generalized Laguerre polynomials is presented. … cvs ray and 44thWebJan 8, 2024 · theory and time series analysis [4,5] and can also be regarded as a generalized Rayleigh distribution ([1] (p. 435)) in which case it is used in mathematical physics; when it is used in communication theory then we call the appropriate complementary cumulative distribution function the generalized Marcum Q-function … cheap flights from mumbai to bhujWebThe generalized Marcum $ Q-$ function: an orthogonal polynomial approach. Szilárd András. 2010, Arxiv preprint arXiv:1010.3348. Continue Reading. Download Free PDF. Download. Related Papers. Performance Study of Nakagami-m Fading Channels with Correlated Unbalanced Branches. Hakim Alhussien. cheap flights from mumbai to bahraincvs rayford rd spring tx