Volterra Equalizer Coefficients for Nonlinear Distortion Compensation
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Linear equalizers are insufficient for equalizing non-linear electronic systems, as they fail to accurately compensate for distortions when the system exhibits non-linear behavior or operates under narrow precision limits.
Innovation Solution
A method involving a Volterra filter circuit is used, where filter coefficients are determined based on mathematical models describing the non-linear electronic system and the Volterra filter circuit in terms of Volterra series, utilizing a Pth order inverse technique to iteratively derive reference transfer functions and impulse responses, and minimizing mean squared error to achieve equalization.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If linear equalizers are used to equalize electronic components, then the equalization process is simple and computationally efficient, but the equalizer fails to accurately compensate for distortions when the system exhibits non-linear behavior
Solution Approach 1:
The patent transitions from linear equalization parameters to Volterra series parameters, which can represent non-linear systems. The mathematical model changes from linear transfer functions to Volterra series expansions, enabling accurate representation of non-linear electronic components while maintaining a systematic approach to equalization.
Solution Approach 2:
The patent introduces Volterra series as an intermediary mathematical framework between the non-linear electronic component and the equalizer. This intermediary model allows the equalizer to indirectly compensate for non-linear distortions by representing the component's behavior through Volterra kernels, which capture non-linear effects without requiring direct inversion of the non-linear system.
2Measurement precision
If Volterra series of high order are used to describe the non-linear system, then the equalization accuracy is improved, but the computational complexity and hardware requirements increase significantly
Solution Approach 1:
The patent applies partial action by restricting the Volterra series to a maximum order of three, rather than using higher orders that would provide even greater accuracy. This partial approach achieves sufficient equalization performance for practical applications while avoiding the exponential increase in computational complexity and hardware requirements that would result from higher-order terms.
Data Source
AI summary
A method of determining filter coefficients of an equalizer circuit for equalizing a non-linear electronic system is described. The equalizer circuit includes a Volterra filter circuit. Further, an equalizer circuit for equalizing a non-linear electronic system and an electronic device are described.