Related Experiment Video
Updated: May 23, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Performance analysis of coherent optical 8-star QAM systems using decision-aided maximum likelihood phase estimation
Hongyu Zhang1, Pooi-Yuen Kam, Changyuan Yu
1Department of Electrical & Computer Engineering, National University of Singapore, Singapore 117576, Singapore.
An approximate bit-error rate (BER) expression for 8-star quadrature amplitude modulation (QAM) was derived, accounting for phase estimation errors. This approximation enables rapid BER performance assessment and laser linewidth tolerance prediction.
Area of Science:
- Optical communications
- Digital modulation techniques
Background:
- Phase estimation errors significantly impact the performance of digital modulation schemes like 8-star QAM.
- Accurate bit-error rate (BER) analysis is crucial for designing reliable optical communication systems.
Purpose of the Study:
- To derive an approximate bit-error rate (BER) expression for 8-star quadrature amplitude modulation (QAM).
- To evaluate the impact of phase estimation error on 8-star QAM performance.
- To provide a tool for quick performance estimation and system optimization.
Main Methods:
- Derivation of an approximate BER expression for 8-star QAM.
- Verification using numerical integration of the conditional BER.
- Validation through Monte-Carlo (MC) simulations.
Main Results:
- An accurate approximate BER expression for 8-star QAM under phase estimation error was successfully derived.
- The derived approximation shows good agreement with numerical integration and MC simulations.
- The approximation facilitates efficient BER performance estimation.
Conclusions:
- The derived approximate BER expression offers a valuable tool for analyzing 8-star QAM performance in the presence of phase estimation errors.
- This approximation aids in predicting laser linewidth tolerance and optimizing system parameters like the ring ratio.
Related Concept Videos
Time and frequency -Domain Interpretation of Phase-lag Control
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Determination of Expected Frequency

