Optical Power Distribution Estimation via Linear Least Squares
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Solution Overview
Problem
Conventional methods for estimating optical transmission properties in optical transmission systems face limitations in accuracy and calculation load, particularly in digital longitudinal monitoring techniques, such as the correlation method's sensitivity issues and the channel reconstruction method's requirement for complex parameter settings.
Innovation Solution
A technique that uses a linear least square method to estimate optical power distribution by restoring transmission signals through a coherent detection system, reducing calculation load with high accuracy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If a correlation method is used to estimate optical transmission properties, then the measurement can be performed with simple equipment, but the sensitivity is limited and only relative optical power can be estimated
Solution Approach 1:
The patent changes the mathematical approach from correlation-based to linear least square-based estimation. By transforming the estimation problem into a linear least square problem, the system achieves both high sensitivity and absolute optical power measurement capability while maintaining operational simplicity through automated signal processing
2Measurement precision
If a channel reconstruction method using gradient descent is used to achieve greater sensitivity, then optical power can be estimated with higher accuracy, but hyper parameters must be appropriately set and calculation load increases
Solution Approach 1:
The patent transforms the nonlinear least square problem into a linear least square problem by changing the mathematical formulation. This eliminates the need for complex hyper parameter optimization (learning rate, number of learning times, initial values) while reducing calculation load through direct linear algebra solutions
Solution Approach 2:
The patent replaces the iterative gradient descent optimization process with a direct linear least square solution. By substituting the iterative numerical optimization mechanism with a closed-form linear algebra approach, the system achieves the same estimation accuracy without requiring hyper parameter tuning or complex computational procedures
3Measurement precision
If a channel reconstruction method using gradient descent is used to achieve greater sensitivity, then optical power can be estimated with higher accuracy, but the calculation load increases
Solution Approach 1:
The patent changes the mathematical formulation from nonlinear least square to linear least square. This parameter change enables direct solution through linear algebra techniques, eliminating iterative calculations and significantly reducing computational complexity while maintaining high estimation accuracy
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Enables accurate estimation of optical transmission properties with reduced computational effort, allowing for precise detection of abnormal losses and polarization-dependent losses in optical fibers.
Implementation Method 1
a reception signal obtained by receiving an optical signal by a coherent detection system
Data Source
AI summary
Optical transmission property estimation device comprising:a transmission waveform restoration unit configured to restore a transmission signal from a reception signal obtained by receiving an optical signal by a coherent detection system; andan estimation unit configured to estimate an optical power distribution in a transmission line by estimating a nonlinear coefficient in a propagation equation of a light wave by a linear least square method based on the restored transmission signal and the reception signal.