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
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
收藏
页码:1752 / 1756
页数:5
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