Wireless Power Amplifier Modeling With Piecewise Nonlinear Correction

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Solution Overview

Problem

Existing non-linear modeling techniques for communication devices, such as power amplifiers, face challenges in efficiently operating in non-linear regions due to high computational costs and errors associated with high-order non-linear terms, which can lead to device failure in meeting regulatory specifications and complicate matrix operations.

Innovation Solution

The method involves obtaining a sample of power consumption signals from devices operating in non-linear ranges, computing corrections based on non-overlapped non-linear sections, and applying these corrections to adjust the driving signals to desired power levels, using third-order spline models and vectorial methods to reduce model order and avoid complex calculations like square root and arctan computations.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If high-order non-linear terms are used to model non-linear devices, then modeling accuracy is improved, but computational complexity increases

Engineering Contradiction:
Improvemodeling accuracyVSAvoidcomputational complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent divides the non-linear device operation range into multiple non-overlapping sections. Each section is modeled using low-order polynomials (third-order or lower) rather than attempting to model the entire range with a single high-order polynomial. This segmentation approach reduces the computational complexity of each local model while collectively maintaining high modeling accuracy across the full operating range.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent changes the modeling parameters by using different polynomial orders for different operating sections. Instead of using a consistently high-order polynomial across all operating conditions, the polynomial order is adapted to be lower (third-order or lower) for each local section, reducing computational burden while maintaining accuracy through the piecewise approach.

Inventive Principle:
Principle #35Parameter changes

2Use of energy by moving object

If devices are driven hard to maximize power usage, then energy efficiency is improved, but non-linear effects increase causing specification failures

Engineering Contradiction:
Improveenergy efficiencyVSAvoidspecification compliance
Core Design Contradiction:
Use of energy by moving objectVSReliability

Solution Approach 1:

The patent implements a feedback mechanism where the output of the non-linear device is measured and fed back to adjust the input driving signal. The piecewise polynomial model predicts the non-linear behavior, and the feedback loop applies corrections to the input signal to compensate for these non-linearities, ensuring that the output meets regulatory specifications even when the device is driven at high power levels for maximum energy efficiency.

Inventive Principle:
Principle #23Feedback

3Measurement precision

If high-order non-linear terms are computed, then modeling precision is improved, but matrix operations become ill-conditioned

Engineering Contradiction:
Improvemodeling precisionVSAvoidmatrix conditioning
Core Design Contradiction:
Measurement precisionVSStability of the object's composition

Solution Approach 1:

By segmenting the operating range into multiple sections and using low-order polynomials for each section, the patent avoids constructing large matrices with high-order terms that would be ill-conditioned. Each local low-order model results in well-conditioned matrices that are numerically stable and easy to invert, eliminating the matrix conditioning problems associated with global high-order polynomial models.

Inventive Principle:
Principle #1Segmentation

Data Source

PatentUS11575350B2Low complexity non-linear modelling techniques for wireless technologies
Publication Date: 2023.02.07 NOKIA SOLUTIONS & NETWORKS OY
  • US11575350B2 patent drawing
  • US11575350B2 patent drawing
  • US11575350B2 patent drawing

AI summary

Various communication devices may benefit from the appropriate use of modeling techniques. For example, devices that include components that may be driven into non-linear ranges of operation may benefit from low complexity non-linear modelling techniques. Such devices may be used, for example, in wireless communication systems. A method can include obtaining a sample of a signal representative of power consumed by a device while the device is operating in a non-linear range while being driven according to a driving signal. The method can also include computing a correction to the driving signal based on the sample. The correction can be calculated based on a plurality of non-overlapped non-linear sections corresponding to a response of the device. The method can further include applying the correction to adjust the driving signal. The correction can be configured to adjust the power to a desired value of power.