Accurate closed-form approximations to Ricean sum distributions and densities

J Hu, NC Beaulieu - IEEE Communications Letters, 2005 - ieeexplore.ieee.org
IEEE Communications Letters, 2005ieeexplore.ieee.org
The statistical distribution of a sum of Ricean random variables occurs extensively in
wireless communications. A closed-form expression does not exist for the sum distribution
and, furthermore, the Ricean random variable does not have a closed-form characteristic
function. For these reasons, it is somewhat difficult to numerically calculate the sum
distribution. Highly accurate, closed-form approximations for the sum distributions and
densities are presented. These approximations are valid for a wide range of argument …
The statistical distribution of a sum of Ricean random variables occurs extensively in wireless communications. A closed-form expression does not exist for the sum distribution and, furthermore, the Ricean random variable does not have a closed-form characteristic function. For these reasons, it is somewhat difficult to numerically calculate the sum distribution. Highly accurate, closed-form approximations for the sum distributions and densities are presented. These approximations are valid for a wide range of argument values, Rice factors and number of summands.
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