Title :
On the Linear Combination of Gamma Conditionally Gaussian Distributions with Application to Decode and Forward Cooperation
Author :
Kumar, Sachin ; Rathnakar, A. ; Sharma, G.V.V.
Author_Institution :
EE Dept., Indian Inst. of Technol., Hyderabad, Hyderabad, India
Abstract :
In this paper, exact statistics for the linear combination of gamma conditionally Gaussian random variables (CGRVs) are obtained. In particular, the probability density function (PDF), the cumulative distribution function (CDF) and the moment generating function (MGF) are derived. Closed form expressions are obtained for both integer and noninteger parameters, using the Mellin-Barnes integral representation of the extended Fox-H function. The significance of these results is then explained by obtaining performance metrics for decode and forward (DF) cooperation in Nakagami-m fading.
Keywords :
Gaussian distribution; Nakagami channels; cooperative communication; decode and forward communication; Mellin-Barnes integral representation; Nakagami-m fading; conditionally Gaussian random variables; cumulative distribution function; decode and forward cooperation; extended Fox-H function; gamma conditionally Gaussian distributions; linear combination; moment generating function; probability density function; Analytical models; Bit error rate; Cooperative systems; Fading; Manganese; Performance analysis; Relays;
Conference_Titel :
Vehicular Technology Conference (VTC Spring), 2015 IEEE 81st
Conference_Location :
Glasgow
DOI :
10.1109/VTCSpring.2015.7145968
