Tight bounds on the bit error probabilities of MDPSK over the nonselective Rician fading channel

The bit error probabilities of BDPSK and QDPSK over the Gaussian channel with nonselective Rician fading are studied using the bounds obtained by Kam (see IEEE Trans. Commun., vol.COM-42, no.12, p.3119, 1994). These bounds are shown to coincide with the exact error probability results in the former binary case, and to provide very accurate estimates of the bit error probability in the latter quadriphase case, especially in the limit of high SNR and in the limit of small K- factor. The bounds provide a simple analytical handle by which one can study the behavior of the error probability as a function of various quantities such as the Doppler spectrum, the Doppler bandwidth and the K-factor. New results are obtained, in particular, for the irreducible error rate floor and the SNR at which this error floor sets in. The results are useful to the design of the new generations of digital mobile radio communication systems