Volterra Equalizer Coefficients for Non-Linear Distortion Compensation
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Solution Overview
Problem
Linear equalizers are insufficient for equalizing non-linear electronic systems, as they fail to accurately compensate for non-linear distortions, especially when the electronic components exhibit non-linear behavior or require narrow precision.
Innovation Solution
A method using a Volterra filter module to determine filter coefficients by describing the non-linear electronic system and the Volterra filter module in terms of Volterra series, employing a Pth order inverse technique to derive reference transfer functions and coefficients, which are then used to compensate for non-linear distortions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If a linear equalizer is used to equalize the electronic component, then the equalization process is simple and computationally efficient, but it fails to accurately compensate for non-linear distortions when the electronic component exhibits non-linear behavior
Solution Approach 1:
The patent transitions from linear equalization parameters to Volterra series parameters, changing the mathematical model from first-order linear relationships to higher-order non-linear relationships. This allows accurate compensation of non-linear distortions by incorporating second-order and third-order kernel functions that capture non-linear behavior while maintaining a structured approach to complexity management.
Solution Approach 2:
The Volterra filter is segmented into multiple kernel functions of different orders (first-order, second-order, third-order kernels). Each kernel handles specific aspects of the non-linear distortion, allowing the complex equalization problem to be divided into manageable components that can be computed and adjusted independently.
2Productivity
If the maximum order of the Volterra series is restricted to three, then the numerical complexity and computing resources are minimized, but higher-order non-linear distortions may not be fully compensated
Solution Approach 1:
The patent applies partial action by limiting the Volterra series to three orders, acknowledging that while higher-order terms exist, the first three orders provide sufficient compensation for most practical non-linear distortions. This partial approach achieves acceptable precision while avoiding the excessive computational burden of including all possible higher-order terms.
Solution Approach 2:
By changing the parameter of maximum series order from a theoretical infinite value to a practical limit of three, the patent optimizes the balance between compensation precision and computing efficiency. This parameter change reflects the practical observation that third-order non-linearities dominate in most electronic systems, making higher-order terms negligible for many applications.
Data Source
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AI summary
A method for determining filter coefficients of an equalizer module (14) for equalizing a non-linear electronic system is described. The equalizer module (14) comprises a Volterra filter module (16). The method comprises the following steps: - processing an input signal by means of the non-linear electronic system, thereby obtaining an output signal; - providing a first mathematical model, wherein the first mathematical model describes the non-linear electronic system in terms of a first Volterra series; - providing a second mathematical model, wherein the second mathematical model describes the Volterra filter module (16) in terms of a second Volterra series; - determining reference transfer functions of the Volterra filter module (16) by means of a Pth order inverse technique based on the first Volterra series; and - determining filter coefficients of the Volterra filter module (16) based on the determined reference transfer functions and based on the second Volterra series. Further, an equalizer module (14) for equalizing a non-linear electronic system and an electronic device (10) are described.