Performance of four-dimensional digital communication system in fading channels

We derive a formula for the bit error probability (BEP) of a four-dimensional signal and coherent but simple detector in fading channels with Rician or Nakagami probability density function for the received signal envelope. We compute the BEP in both cases and show its dependence on the energy-to-noise ratio per bit, E/sub b//N/sub 0/ and channel parameters, K and m respectively.