1 research outputs found
Ergodic Capacity of Composite Fading Channels in Cognitive Radios with the Product of - and - Variates
In this study, the product of two independent and non-identically distributed
(i.n.i.d.) random variables (RVs) for \k{appa}-{\mu} fading distribution and
{\alpha}-{\mu} fading distribution is considered. The method of the product
model of RVs has been widely applied in numerous of communications fields, such
as cascaded fading channels, multiple input multiple output (MIMO) systems,
radar communications and cognitive radio networks (CRs). The exact series
expressions of the product of two i.n.i.d. RVs X for \k{appa}-{\mu} variates
and Y for {\alpha}-{\mu} variates are derived instead of Fox H-function to
solve the problem that Fox H-function in the RVs product could not be
implemented in popular mathematical software packages as Mathematica and Maple.
Novel Exact close-form expressions of probability density function (PDF) and
cumulative distribution function (CDF) of proposed models are deduced to
present the series expressions of product and generalized composite multipath
shadowing models. Furthermore, novel exact expressions of the ergodic channel
capacity (ECC) are obtained under optimal rate adaptation with constant
transmit power (ORA). At last, these analytical results are confirmed with
monte-carlo simulations to evaluate spectrum efficiency over generalized
composite shadowing fading scenarios in CRs