TY - GEN

T1 - On the Sum of Gamma Random Variates With Application to the Performance of Maximal Ratio Combining over Nakagami-m Fading Channels

AU - Ansari, Imran Shafique

AU - Yilmaz, Ferkan

AU - Alouini, Mohamed-Slim

AU - Kucur, Oguz

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2012/9/10

Y1 - 2012/9/10

N2 - The probability distribution function (PDF) and cumulative density function of the sum of L independent but not necessarily identically distributed gamma variates, applicable to maximal ratio combining receiver outputs or in other words applicable to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels, is presented in closed form in terms of Meijer G-function and Fox H-bar-function for integer valued fading parameters and non-integer valued fading parameters, respectively. Further analysis, particularly on bit error rate via PDF-based approach, too is represented in closed form in terms of Meijer G-function and Fox H-bar-function for integer-order fading parameters, and extended Fox H-bar-function (H-hat) for non-integer-order fading parameters. The proposed results complement previous results that are either evolved in closed-form, or expressed in terms of infinite sums or higher order derivatives of the fading parameter m.

AB - The probability distribution function (PDF) and cumulative density function of the sum of L independent but not necessarily identically distributed gamma variates, applicable to maximal ratio combining receiver outputs or in other words applicable to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels, is presented in closed form in terms of Meijer G-function and Fox H-bar-function for integer valued fading parameters and non-integer valued fading parameters, respectively. Further analysis, particularly on bit error rate via PDF-based approach, too is represented in closed form in terms of Meijer G-function and Fox H-bar-function for integer-order fading parameters, and extended Fox H-bar-function (H-hat) for non-integer-order fading parameters. The proposed results complement previous results that are either evolved in closed-form, or expressed in terms of infinite sums or higher order derivatives of the fading parameter m.

UR - http://hdl.handle.net/10754/241991

UR - http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6292935&contentType=Conference+Publications&searchField%3DSearch_All%26queryText%3Don+the+sum+of+gamma+random+variates

UR - http://www.scopus.com/inward/record.url?scp=84868031569&partnerID=8YFLogxK

U2 - 10.1109/SPAWC.2012.6292935

DO - 10.1109/SPAWC.2012.6292935

M3 - Conference contribution

SN - 978-1-4673-0970-7

SP - 394

EP - 398

BT - 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -