Analysis of the fundamental error statistics in DPSK systems using a Markov chain model (Corresp.)

Finite-state Markov chain models are proposed to represent the process of the occurrence of errors in differential phase-shift-keying (DPSK) systems and also in coherent phase-shift-keying (CPSK) systems with differential coding-and-decoding schemes. A simple and general formula is derived for the probability
P(m,n)
of the occurrence of m errors in a sequence of
n
digits which is the fundamental error statistic required to evaluate random-error-correcting codes applied to these channels.