Abstract
A new upper bound (UB) on the information rate (IR) transferred through the additive white Gaussian noise channel affected by Wiener's laser phase noise is proposed in the paper. The bound is based on Bayesian tracking of the noisy phase. Specifically, the predictive and posterior densities involved in the tracking are expressed in parametric form, therefore tracking is made on parameters. This make the method less computationally demanding than known non-parametric methods, e.g. methods based on phase quantization and trellis representation of phase memory. Simulation results show that the UB is so close to the lower bound that we can claim of having virtually computed the actual IR.
Highlights
Multiplicative phase noise is a major source of impairment in radio and optical channels
The lower bound is virtually indistinguishable from the upper bound (UB) obtained with parametric Bayesian tracking (BT) in the entire range of signal-to-noise ratios (SNRs)
The UB obtained with parametric BT virtually gives the actual information rate (IR) for γ = 0.125 and any SNRs
Summary
Multiplicative phase noise is a major source of impairment in radio and optical channels. Several methods have been proposed in the literature to combat the detrimental effects of Wiener phase noise (WPN). Among these methods we cite iterative demodulation and decoding techniques of [5,6,7] and the insertion of pilot symbols (possibly with staged decoding [8].) Note that single carrier systems affected by non-ideal frequency responses of the channel plus phase noise require specific mitigation techniques [9] that are not addressed in this paper. In non-parametric methods, densities are estimated and updated point-wisely in their support space, leading to a more demanding computation
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