Sparse Estimation Technique for Digital Pre-distortion of Impedance-Mismatched Power Amplifiers


This paper proposes the application of the Wiener–Hammerstein with feedback (WHFB) model as a digital pre-distortion (DPD) behavioural model for power amplifiers (PA) under load impedance mismatch, since more traditional models suffer performance degradation in this condition. Moreover, this paper proposes the use of the least absolute shrinkage and selection operator (LASSO) approach for the sparse, parsimonious estimation of the WHFB model. Using this technique, the number of coefficients is significantly reduced, thus reducing the DPD running complexity. Additionally, block-oriented LASSO extensions, such as group-LASSO and sparse-group LASSO, are proposed for model dimensioning, i.e. for setting parameters values. Finally, a simplified approximate technique is proposed, in which the most relevant blocks in the model are selected prior to running LASSO, resulting in lower estimation cost. Experimental results demonstrate the ability of the proposed techniques to adequately linearize PAs subject to load impedance mismatch.

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Data Availability

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.


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The authors would like to thank the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) for partially funding this research. The authors would also like to thank the Laboratório de Microondas (LME) from the Department of Electrical Engineering, University of São Paulo (USP), especially Profs. Fatima S. Correra and Antonio Sandro Verri, and Keysight Technologies for supporting the experiments.

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Hemsi, C.S., Panazio, C.M. Sparse Estimation Technique for Digital Pre-distortion of Impedance-Mismatched Power Amplifiers. Circuits Syst Signal Process (2021).

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  • Load impedance mismatch
  • Power amplifier (PA)
  • Behavioural modelling
  • Digital pre-distortion (DPD)