The fast changing frequency nonselective Ricean fading channel introduces a
complicated multiple distortion and an extra additive noise component for
an OFDM system. The multiple distortion is the average of the sum of N(N gr
eater than or equal to 3) correlated Ricean random variables. In this Lette
r, we propose an approximate technique for calculating the probability dens
ity function (PDF) of the multiple distortion under the assumption that the
channel response changes in a linear fashion during one OFDM symbol. As a
result, the bit error rate (BER) formula of a BPSK: modulated OFDM system i
s derived. The results obtained using the derived formula describe well the
OFDM performance under the time variant channel and match very well with t
he simulation results.