Abstract

Piecewise behavioral models are commonly adopted for modeling and linearization of RF power amplifiers (PAs) that exhibit strong amplitude-dependent nonlinear distortion characteristics, as global polynomial approximations tend to underperform in such scenarios. In this article, we consider a new piecewise model for PAs based on the mixture of experts (ME) approach, which builds on a probabilistic model that allows the different submodels to cooperate—as opposed to operating in an independent fashion that is commonly the case in existing reference methods. We first introduce the ME framework theory while also extend it such that it can be applied to model complex baseband signals and nonlinearities. Then, we show how the ME model allows overcoming some of the intrinsic shortcomings that existing piecewise behavioral models commonly exhibit, which translates into improved modeling accuracy and improved linearization performance. Furthermore, the extension of the ME approach to a tree-structured regression model, referred to as the hierarchical ME model, is also introduced and shown to provide further performance improvements over the basic ME approach. The proposed solutions are validated with extensive RF measurements, covering both PA direct modeling and digital predistortion (DPD)-based linearization, on a gallium nitride (GaN) load-modulated balanced PA, on a GaN Doherty PA, and on a class AB GaN high electron mobility transistor PA, while being compared against several state-of-the-art piecewise methods. The results demonstrate that the ME framework-based models outperform the state of the art.

Highlights

  • Approach to a tree-structured regression model, referred to as the hierarchical mixture of experts (ME) model, is introduced, and shown to provide further performance improvements over the basic ME approach

  • VER the years, multiple power amplifier (PA) technologies have been developed with the goal of delivering enhanced power efficiency at different power back-off levels and over wide bandwidths [1]–[4]

  • Good examples are the Doherty PA (DPA) [5], [6] and the load modulated balanced (LMBA) PA [2], [7], which leverage the concept of load modulation that allows the power efficiency to be optimized dynamically at a specific power back-off, by tuning the load impedance

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Summary

I NTRODUCTION

VER the years, multiple power amplifier (PA) technologies have been developed with the goal of delivering enhanced power efficiency at different power back-off levels and over wide bandwidths [1]–[4]. On the other hand, utilize separate submodels that operate over specific subregions of the overall PA response [13], [14] They are capable of conveniently modeling such distinct amplitude dependent behaviour. The extension of the ME model to a multi-level regression tree is introduced and shown to provide better nonlinear modeling capabilities and linearization performance than more ordinary single-layer ME, thanks to the stronger nonlinear behaviour of the composite gating network. Extensive set of measurement results on a number of different PA technologies are reported to validate and showcase the capabilities of the ME framework in the context of PA direct modeling and DPD based linearization.

Basic ME Model
Hierarchical ME Model
EM Algorithm for the Basic ME Model
EM Algorithm for HME
ME C OMPLEXITY A NALYSIS AND C OMPARISON
RF M EASUREMENT R ESULTS
ME for Behavioral Modeling of RF PAs
ME for Linearization of RF PAs
Model Adaptation Runtime Comparison
C ONCLUSION
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