Unscented Kalman Filter with Joint Decision Scheme for Phase Estimation in Probabilistically Shaped QAM Systems
Abstract
:1. Introduction
2. Operation Principle
2.1. Phase Estimate Based on the Kalman Filter
2.2. Proposed Phase Estimation Algorithm
3. Simulation Analysis
3.1. Optimization of the Decision Threshold at Variables Shaping Factors and Fixed SNR
3.2. Comparison with Different CPR Algorithms at Variable Shaping Factors
4. Experimental Verification
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
UKF | unscented Kalman filter |
PS | probabilistic shaping |
SE | spectral efficiency |
QAM | quadrature amplitude modulation |
MAP | maximum a posterior probability |
ML | maximum likelihood |
SE | spectral efficiency |
DSP | digital signal processing |
CPR | carrier phase recovery |
BPS | blind phase search |
SNR | signal−to−noise ratio |
OSNR | optical signal−to−noise ratio |
GMI | generalized mutual information |
NGMI | normalized generalized mutual information |
CD | chromatic dispersion |
CMA | constant modulus algorithm |
FOE | frequency offset estimation |
LPN | laser phase noise |
LKF | linear Kalman filter |
EKF | extended kalman filter |
ASE | amplified spontaneous emission |
GMI | generalized mutual information |
AWGN | additive white Gaussian noise |
LO | local oscillator |
MB | Maxwell−Boltzmann |
SD−FEC | soft−decision forward error correction |
AWG | arbitrary waveform generator |
EDFA | Erbium−doped fiber amplifier |
OSNR | optical signal−to−noise ratio |
DSO | digital storage oscilloscope |
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Gao, Y.; Li, Z.; Guo, D.; Dong, Z.; Zhu, L.; Chang, H.; Zhou, S.; Wang, Y.; Tian, Q.; Tian, F.; et al. Unscented Kalman Filter with Joint Decision Scheme for Phase Estimation in Probabilistically Shaped QAM Systems. Electronics 2023, 12, 4075. https://doi.org/10.3390/electronics12194075
Gao Y, Li Z, Guo D, Dong Z, Zhu L, Chang H, Zhou S, Wang Y, Tian Q, Tian F, et al. Unscented Kalman Filter with Joint Decision Scheme for Phase Estimation in Probabilistically Shaped QAM Systems. Electronics. 2023; 12(19):4075. https://doi.org/10.3390/electronics12194075
Chicago/Turabian StyleGao, Yuan, Zhipei Li, Dong Guo, Ze Dong, Lei Zhu, Huan Chang, Sitong Zhou, Yongjun Wang, Qinghua Tian, Feng Tian, and et al. 2023. "Unscented Kalman Filter with Joint Decision Scheme for Phase Estimation in Probabilistically Shaped QAM Systems" Electronics 12, no. 19: 4075. https://doi.org/10.3390/electronics12194075
APA StyleGao, Y., Li, Z., Guo, D., Dong, Z., Zhu, L., Chang, H., Zhou, S., Wang, Y., Tian, Q., Tian, F., & Yang, L. (2023). Unscented Kalman Filter with Joint Decision Scheme for Phase Estimation in Probabilistically Shaped QAM Systems. Electronics, 12(19), 4075. https://doi.org/10.3390/electronics12194075