  We propose a simple and accurate method to evaluate the outage probability at
the output of arbitrarily fading L-branch diversity combining receiver. The
method is based on the saddlepoint approximation, which only requires the
knowledge of the moment generating functions of the signal-to-noise ratio at
the output of each diversity branch. In addition, we show that the obtained
results reduce to closed-form expressions in many particular cases of practical
interest. Numerical results illustrate a very high accuracy of the proposed
method for practical outage values and for a large mixture of fading and system
parameters.
