B.S.T.J. Briefs: The Effect of Noise Correlation on Binary DifferentiallyCoherent PSK Communication Systems
01 January 1967
Several authors have calculated the probability of error in binary differentially coherent phase-shift-keyed (DCPSK) communication systems. 1 ' 2 , 3 , 4 All of these calculations make the assumption that the sample values of the noise at the sampling instants in adjacent time slots are statistically independent random variables.* Because the noise is band-limited this assumption is not strictly true. The purpose of this note is to justify the assumption for most cases of interest and to point out where the assumption introduces some discrepancy. Consider a signal of the form S(t) = Qc(0 cos cot + QXl) sin a>/ (1)