Ultra-fast SOP rotation tracking and its enabled feedforward adaptive equalization based on superimposed chirp pilot
Optics Express
|August 13, 2025
Summary
We introduce a novel method using chirp pilots and fractional Fourier transform (FrFT) to track state of polarization (SOP) rotation in optical signals. This technique enhances signal-to-noise ratio and enables efficient adaptive equalization.
Area of Science:
- Optical communications
- Signal processing
- Photonics
Background:
- State of polarization (SOP) rotation is a significant challenge in optical fiber communication systems.
- Accurate tracking of SOP rotation is crucial for maintaining signal integrity and performance.
- Existing methods may struggle with high rotation speeds or introduce spectral inefficiency.
Purpose of the Study:
- To propose and verify a novel scheme for tracking state of polarization (SOP) rotation using chirp pilots and fractional Fourier transform (FrFT).
- To improve the optical signal-to-noise ratio (OSNR) penalty caused by signal superimposition.
- To enable feedforward adaptive equalization (FFD-AEQ) for enhanced system performance and reduced complexity.
Main Methods:
- Utilizing chirp pilots processed through fractional Fourier transform (FrFT) superimposed on dual-polarization data signals.
- Employing FrFT with a MIMO structure to distinguish chirp pilots based on their fractional energy peaks.
- Leveraging aggregated peaks in the matched fraction domain to estimate SOP rotation.
- Implementing a fractional domain digital match filter (DMF) to mitigate superimposition impact.
- Developing a feedforward adaptive equalization (FFD-AEQ) scheme incorporating pre-equalization.
Main Results:
- The proposed scheme successfully tracks SOP rotation up to 5 Mrad/s for 480Gb/s DP-16QAM and 600Gb/s DP-32QAM signals over 25 km fiber.
- The fractional domain DMF reduces the OSNR penalty from over 4.0 dB to 0.9 dB.
- FFD-AEQ effectively handles SOP rotation up to 4.1 Mrad/s under HD-FEC.
- FFD-AEQ with pre-equalization achieves a 39.1% reduction in complexity compared to conventional MIMO.
Conclusions:
- The proposed FrFT-based chirp pilot method offers an efficient and spectrum-efficient approach for tracking high-speed SOP rotation.
- The fractional domain DMF significantly improves OSNR performance by reducing superimposition effects.
- FFD-AEQ provides a robust and computationally efficient solution for adaptive equalization in the presence of SOP rotation.
More Related Videos
Related Concept Videos
Linear Approximation in Frequency Domain
131
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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....
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....
131
Feedback control systems
427
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
427
Doppler Effect - II
3.5K
The Doppler effect has several practical, real-world applications. For instance, meteorologists use Doppler radars to interpret weather events based on the Doppler effect. Typically, a transmitter emits radio waves at a specific frequency toward the sky from a weather station. The radio waves bounce off the clouds and precipitation and travel back to the weather station. The radio frequency of the waves reflected back to the station appears to decrease if the clouds or precipitation are moving...
3.5K
Upsampling
310
Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
310
Reconstruction of Signal using Interpolation
337
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
337
Linear Approximation in Time Domain
125
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
125


