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Summary

This study presents new formulas for analyzing bit-error rates in Stokes-vector modulation systems with preamplified receivers. These formulas allow for comparing the sensitivity of various optical receiver types.

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Area of Science:

Optical Communications
Signal Processing
Information Theory

Background:

Stokes-vector modulation offers advanced data encoding capabilities in optical systems.
Optically preamplified receivers are crucial for enhancing signal detection sensitivity.
Understanding bit-error rate (BER) is fundamental for reliable optical communication system design.

Purpose of the Study:

To derive unified analytical formulas for the bit-error rate (BER) in Stokes-vector modulation-demodulation systems.
To evaluate receiver sensitivities using these BER formulas and noise analysis.
To facilitate a comparative analysis of different optical receiver architectures.

Main Methods:

Derivation of analytical BER formulas for binary, quad, and octal modulation formats.
Analysis of the probability-density function of noise in Stokes-vector direct-detection receivers.
Estimation and comparison of receiver sensitivities based on derived BER characteristics.

Main Results:

Unified analytical BER formulas were successfully derived for various modulation formats.
Receiver sensitivities were accurately estimated and analyzed.
The study provides a framework for comparing the sensitivity of coherent, direct-detection, and Stokes-vector direct-detection receivers.

Conclusions:

The derived BER formulas are essential for optimizing Stokes-vector modulation systems.
The analysis highlights the performance trade-offs among different optical receiver types.
This work contributes to the advancement of high-performance optical communication technologies.