Abstract
A unified framework was recently developed for optimizing the bit error rate (BER) incurred in the
simultaneous differential modulation of the optical resources of polarization, phase, and/or amplitude, extending
the conventional Stokes' parameters of polarization optics to a set of D<sup>2</sup> generalized Stokes' parameters (GSPs). Novel optimal receiver structures were identified for
multienergy polarization shift keying (POLSK), the optimality of differential phase amplitude shift keying (DPASK)
and multichip differential phase shift keying (MC-DPSK) modulation formats was assessed, and optimal receivers for
combinations of POLSK and DPSK were formulated. In this paper, the probability of error performance was evaluated
for the newly introduced family of advanced modulation formats combining differential phase, polarization, and/or
amplitude modulation, generically described as multichip differential state of POLSK. The symbol error rate and the
BER for such systems are derived here in terms of the geometry of Stokes' signal space (the space of GSPs). The
resulting formalism is applied to assess the performance of recently introduced MC-DPSK and MUB-coded systems
(differential phase constellations based on maximally unbiased bases), as well as DPASK formats, establishing
improved tradeoffs between sensitivity and spectral efficiency relative to conventional optical DPSK systems.
© 2007 IEEE
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