Error probability of wideband noncoherent multiple frequency shift keyed scheme

When the bit duration-bandpass filter bandwidth product b
0
T takes any positive integer, the exact expression of the error probability of the noncoherent multiple frequency shift keyed scheme, PCM/MFS, is derived. When b
0
T ≫ 1, an asymptotic error probability results. The error probability is plotted for a 5-bit code word for various b
0
T.