Solutions to Integrals Involving the Marcum Q-Function and Applications

被引：33

作者：

Sofotasios, Paschalis C. ^{[1
,2
]}

Muhaidat, Sami ^{[3
,4
]}

Karagiannidis, George K. ^{[2
,3
]}

Sharif, Bayan S. ^{[3
]}

机构：

[1] Tampere Univ Technol, Dept Elect & Communicat Engn, FIN-33101 Tampere, Finland

[2] Aristotle Univ Thessaloniki, Dept Elect & Comp Engn, Thessaloniki 54124, Greece

[3] Khalifa Univ, Dept Elect & Comp Engn, Abu Dhabi, U Arab Emirates

[4] Univ Surrey, Dept Elect Engn, Ctr Commun Syst Res, Guildford GU2 7XH, Surrey, England

来源：

IEEE SIGNAL PROCESSING LETTERS | 2015年 / 22卷 / 10期

关键词：

Capacity; correlation; energy detection; marcum -Q function; special functions; switch-and-stay combining; BIT-ERROR-RATE; COGNITIVE NETWORKS; ENERGY DETECTION; UNKNOWN SIGNALS;

D O I：

10.1109/LSP.2015.2432064

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Novel analytic solutions are derived for integrals that involve the generalized Marcum Q-function, exponential functions and arbitrary powers. Simple closed-form expressions are also derived for specific cases of the generic integrals. The offered expressions are both convenient and versatile, which is particularly useful in applications relating to natural sciences and engineering, including wireless communications and signal processing. To this end, they are employed in the derivation of the average probability of detection in energy detection of unknown signals over multipath fading channels as well as of the channel capacity with fixed rate and channel inversion in the case of correlated multipath fading and switched diversity.

引用

页码：1752 / 1756

页数：5

共 50 条

[41] Computing and bounding the first-order Marcum Q-function: A geometric approach
Kam, Pooi Yuen
Li, Rong
IEEE TRANSACTIONS ON COMMUNICATIONS, 2008, 56 (07) : 1101 - 1110
[42] Tight Bounds of the Generalized Marcum Q-Function Based on Log-concavity
Sun, Yin
Zhou, Shidong
GLOBECOM 2008 - 2008 IEEE GLOBAL TELECOMMUNICATIONS CONFERENCE, 2008,
[43] New Exponential-Type Integral Representations of the Generalized Marcum Q-Function of Real-Order with Applications
Annamalai, A.
2015 IEEE 12TH MALAYSIA INTERNATIONAL CONFERENCE ON COMMUNICATIONS (MICC), 2015, : 47 - 52
[44] New Representations and Bounds for the Generalized Marcum Q-Function via a Geometric Approach, and an Application
Li, Rong
Kam, Pooi Yuen
Fu, Hua
IEEE TRANSACTIONS ON COMMUNICATIONS, 2010, 58 (01) : 157 - 169
[45] A Simple Exponential Integral Representation of the Generalized Marcum Q-Function QM (a, b) for Real-Order M with Applications
Annamalai, A., Jr.
Tellambura, C.
2008 IEEE MILITARY COMMUNICATIONS CONFERENCE: MILCOM 2008, VOLS 1-7, 2008, : 1749 - +
[46] Generic Exponential Bounds and Erfc-Bounds on the Marcum Q-Function via the Geometric Approach
Kam, Pooi Yuen
Li, Rong
GLOBECOM 2006 - 2006 IEEE GLOBAL TELECOMMUNICATIONS CONFERENCE, 2006,
[47] Marcum Q-function as an analytical solution for misaligned Gaussian beams (vol 60, 056105, 2021)
Azzolin, Claisso P.
Gurgel, Airton F., Jr.
Andrezo Carneiro, Vitor Gouvea
OPTICAL ENGINEERING, 2021, 60 (07)
[48] On Approximation of Gaussian Q-Function and its Applications
ShirinAbadi, Parnian A.
Abbasi, Arash
2019 IEEE 10TH ANNUAL UBIQUITOUS COMPUTING, ELECTRONICS & MOBILE COMMUNICATION CONFERENCE (UEMCON), 2019, : 883 - 887
[49] Some new results for integrals involving the generalized Marcum Q function and their application to performance evaluation over fading channels
Simon, MK
Alouini, MS
IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 2003, 2 (04) : 611 - 615
[50] RELATIONS BETWEEN RICE IE-FUNCTION AND MARCUM Q-FUNCTION WITH APPLICATIONS TO ERROR RATE CALCULATIONS (VOL 31, PG 1717, 1995)
PAWULA, RF
ELECTRONICS LETTERS, 1995, 31 (24) : 2136 - 2136

← 1 2 3 4 5 →