Ye. Dallal et S. Shamai, GENERALIZED CUTOFF RATE OF DPSK NOISY-PHASE CHANNELS, European transactions on telecommunications and related technologies, 6(5), 1995, pp. 601-608
Coded communication is examined for binary differential phase shift ke
ying (DPSK) modulation where the communication channel consists of bot
h a Brownian Motion phase noise and an additive white Gaussian noise (
AWGN). Decoding utilizes a mismatched soft-decision metric that accoun
ts for the prefiltering of the phase-noise-impaired signals followed b
y differential demodulation. Binary Multiplexing of the equivalent cha
nnel results in a binary-input, output-symmetric, discrete-time, codin
g channel, which is both stationary and memoryless. This multiplexing
accounts as well for an underlying time-diversity (repetition codes),
providing an effective, yet simple, means of boosting the capabilities
of less powerful codes to cope with high phase-noise levels. The cut-
off rate of the considered channel is analytically too complicated to
compute. The approach taken yields a coding channel characterization t
hat further generalizes the concept of the generalized cut-off rate fo
r mismatched metrics to account as well for incomplete statistical cha
racterization. The theoretical implication of this criterion for coded
communication is examined. The Brownian Motion phase model is charact
erized by a finite set of the univariate moments admitted by certain e
xponential functionals of the phase sample path, whose exact statistic
s seem intractable.