Constellation Optimization in the Presence of Strong Phase Noise
arXiv:1310.1635 · doi:10.1109/TCOMM.2013.102313.130131
Abstract
In this paper, we address the problem of optimizing signal constellations for strong phase noise. The problem is investigated by considering three optimization formulations, which provide an analytical framework for constellation design. In the first formulation, we seek to design constellations that minimize the symbol error probability (SEP) for an approximate ML detector in the presence of phase noise. In the second formulation, we optimize constellations in terms of mutual information (MI) for the effective discrete channel consisting of phase noise, additive white Gaussian noise, and the approximate ML detector. To this end, we derive the MI of this discrete channel. Finally, we optimize constellations in terms of the MI for the phase noise channel. We give two analytical characterizations of the MI of this channel, which are shown to be accurate for a wide range of signal-to-noise ratios and phase noise variances. For each formulation, we present a detailed analysis of the optimal constellations and their performance in the presence of strong phase noise. We show that the optimal constellations significantly outperform conventional constellations and those proposed in the literature in terms of SEP, error floors, and MI.
10 page, 10 figures, Accepted to IEEE Trans. Commun
References in corpus (1)
Cited by in corpus (8)
- Geometric Shaping of 2-Dimensional Constellations in the Presence of Laser Phase Noise
- End-to-end Learning of a Constellation Shape Robust to Channel Condition Uncertainties
- On the Capacity of the Wiener Phase-Noise Channel: Bounds and Capacity Achieving Distributions
- On the Capacity of Correlated Phase-Noise Channels: An Electro-Optic Frequency Comb Example
- Optimized Signaling of Binary Correlated Sources over GMACs
- Terahertz Wireless Communications with Flexible Index Modulation Aided Pilot Design
- End-to-end Learning of a Constellation Shape Robust to Variations in SNR and Laser Linewidth
- An Approximate ML Detector for MIMO Channels Corrupted by Phase Noise