Recursive Linearization of Nonlinear Electronic Device Models

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Solution Overview

Problem

Existing methods for linearizing non-linear electronic devices require a complex implementation of the linearization function, often necessitating additional terms in the expansion to achieve desired linearization, which increases the number of free parameters and memory depth needed.

Innovation Solution

A method and device that utilize a linearizer with a linearization function determined by applying function recursion to the mathematical expression of the non-linear electronic device's model, allowing for efficient linearization with fewer free parameters and reduced memory depth.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Device complexity

If traditional linearization methods using look-up tables or simple models are used, then the linearization function can be implemented, but the number of free parameters and memory depth required increases significantly

Engineering Contradiction:

Improvenumber of free parameters and memory depthVSAvoidlinearization accuracy

Core Design Contradiction:

Device complexityVSReliability

Solution Approach 1:

The patent inverts the traditional approach by applying function recursion to the mathematical expression of the non-linear device model to derive the linearization function. Instead of using complex expansions with many parameters, the method recursively processes the model equation to obtain a linearization function that requires fewer parameters while maintaining accuracy

Inventive Principle:

Principle #13The other way round (Inversion)

Solution Approach 2:

The patent transforms the mathematical representation by changing parameters from a traditional expansion form with many coefficients to a recursive form based on the original model parameters. This parameter transformation reduces the number of free parameters needed while preserving the linearization capability

Inventive Principle:

Principle #35Parameter changes

2Ease of manufacture

If a simple model of the non-linear electronic device is used, then the model is easy to implement, but the linearizer device requires more complex implementation with additional terms

Engineering Contradiction:

Improvemodel implementation simplicityVSAvoidlinearizer device complexity

Core Design Contradiction:

Ease of manufactureVSDevice complexity

Solution Approach 1:

The patent reverses the traditional dependency relationship by using the simple model to directly generate the linearization function through recursion. The simple model becomes the foundation rather than the limitation, and the recursive processing extracts the necessary linearization terms without requiring additional complexity in the device implementation

Inventive Principle:

Principle #13The other way round (Inversion)

3Measurement precision

If more terms are added to the linearization function expansion, then linearization accuracy improves, but the memory depth and computational complexity increase

Engineering Contradiction:

Improvelinearization accuracyVSAvoidmemory depth

Core Design Contradiction:

Measurement precisionVSQuantity of substance

Solution Approach 1:

The patent inverts the approach of adding terms to an expansion by instead using recursion on the model equation to generate only the necessary terms. This recursive derivation naturally limits the number of terms required while maintaining the accuracy needed for effective linearization

Inventive Principle:

Principle #13The other way round (Inversion)

Solution Approach 2:

The patent extracts only the essential terms needed for linearization by applying function recursion to the model. Rather than using a complete expansion with all possible terms, the recursive method selectively extracts the necessary components, reducing memory depth while preserving linearization accuracy

Inventive Principle:

Principle #2Taking out (Extraction)

Data Source

PatentUS12308802B2Recursive linearization of a non-linear model for an electronic device

Publication Date: 2025.05.20 TELEFONAKTIEBOLAGET LM ERICSSON (PUBL)

AI summary

There is provided mechanisms for enabling linearization of a non-linear electronic device. A method is performed by a linearizer device. The method comprises receiving an input signal destined to be input to the non-linear electronic device. Input-output characteristics of the non-linear electronic device is represented by a model. The model is defined by a mathematical expression, and wherein input-output characteristics of the linearizer device is given by the linearization function. The linearization function is determined by applying a function recursion to the mathematical expression of the model. The method comprises obtaining an output signal by subjecting the input signal to the linearization function. The method comprises providing the output signal, instead of the input signal, as input to the non-linear electronic device, thereby enabling linearization of the non-linear electronic device.