Generalized marcum q function

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WebTHE GENERALIZED MARCUM Q−FUNCTION: AN ORTHOGONAL POLYNOMIAL APPROACH SZILARD ANDR´ AS,´ ARP´ AD BARICZ, AND YIN SUN´ Abstract. A … 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

Exponential-type bounds on the generalized Marcum Q-function …

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 paper … WebJun 13, 2016 · Closed-form solutions for the general integrals in terms of Meijer's G-function are derived and validated by comparing with the analytic expressions for the … bookshelf argos

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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 ... WebSep 1, 2016 · Closed-form solutions for the general integrals in terms of Meijer's G-function are derived and validated by comparing with the analytic expressions for the existing integrals involving the... 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 bookshelf ark

New Bounds for the Generalized Marcum $Q$ -Function

IRS Assisted High-Speed Train Communications: Performance …

WebThe function P/sub N/ (X,Y) can be equated to the generalized Marcum Q-function, Q/sub m/ ( alpha , beta ). The corresponding limits on alpha and beta are roughly 4500 … WebNov 5, 2004 · Summary As alluded to in Chapter 4, the alternative representations of the Gaussian and Marcum Q-functions in the desired form are the key mathematical tools in unifying evaluation of the average e... harvey fuqua diedWebthe generalized Marcum Q-function with order ν integer. On the other hand, based on the papers [8, 27, 34] there are introduced in the Matlab 6.5 soft-ware the Marcum Q-function and positive integer order generalized Marcum Q-function1: marcumq(a,b)computes the value of the ﬁrst order Marcum Q- bookshelf around bed

"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 " - Generalized marcum q function

Generalized marcum q function

WebJan 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 … WebJun 13, 2016 · We investigate analytic solutions for three generalized integrals involving arbitrary powers, generalized Marcum Q-function, and exponential functions, which are more general than the existing integrals and have been extensively employed in the performance evaluations in various areas of wireless communications, especially in …

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WebQ−function [Marcum 1960]. This is the notation used, for instance, in the MATLAB built-in function marcumq. The relation with the notation we use is simple: Qµ(x,y) = Qeµ(√ 2x, p 2y), (5) and similarly for the P−function. The generalized Marcum Q−function is an important function used in radar detec- WebFunction File: q = marcumq (a, b, m, tol) ¶ Compute the generalized Marcum Q function of order m with noncentrality parameter a and argument b. If the order m is omitted it defaults to 1. An optional relative tolerance tol may be included, the default is eps. If the input arguments are commensurate vectors, this function will produce a table ...

http://webhome.auburn.edu/~yzs0078/paper/journal/MarcumQ_ineq_AMC08.pdf 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 …

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 paper … 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 ...

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...

WebNov 4, 2013 · The algorithm for computing the Marcum functions combines different methods of evaluation in different regions: series expansions, integral representations, … bookshelf around windowWebNov 1, 2010 · The generalized Marcum Q -function has applications also in error performance analysis of multichannel dealing with partially coherent, differentially … harvey furnishing lunn avenueWebMay 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 ... harvey fuqua wikipediaWebMar 1, 2000 · A new form of the Marcum (1950) Q-function is presented that has both computational and analytical advantages and enables simple upper and lower bounds to be found analogous to the Chernoff bound on the Gaussian Q- function. 102 Integral representation and bounds for Marcum Q-function M. Chiani Computer Science 1999 … bookshelf around deskWebGeneralized Marcum Q -function collapse all in page Syntax Q = marcumq (a,b) Q = marcumq (a,b,m) Description example Q = marcumq (a,b) computes the Marcum Q … bookshelf arrangement for enchanting tableWebJan 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 … harvey fuqua and the moonglowsWebOct 24, 2024 · In statistics, the generalized Marcum Q-function of order ν is defined as. Q ν ( a, b) = 1 a ν − 1 ∫ b ∞ x ν exp. ⁡. ( − x 2 + a 2 2) I ν − 1 ( a x) d x. where b ≥ 0 and a, … harvey furnishings