Effect of correlated noise on error probability of binary frequency shift keying with limiter-discriminator-detector and narrowband filters

In investigations of frequency shift keying (FSK) with a limiter-discriminator-integrator (LDI) detector it was assumed that the noise at two consecutive sampling points is uncorrelated. Here we study the effect of correlated noise on error probability. We show that the error probability is reduced when the correlation is positive and increased when the correlation is negative. For optimal values of filter bandwidth the error probability remains unchanged.