L0-Norm Adaptive Volterra Filters. Yazdanpanah, H., Carini, A., & Lima, M. V. S. In 2019 27th European Signal Processing Conference (EUSIPCO), pages 1-5, Sep., 2019.
L0-Norm Adaptive Volterra Filters [pdf]Paper  doi  abstract   bibtex   
The paper addresses adaptive algorithms for Volterra filter identification capable of exploiting the sparsity of nonlinear systems. While the l1-norm of the coefficient vector is often employed to promote sparsity, it has been shown in the literature that superior results can be achieved using an approximation of the l0-norm.Thus, in this paper, the Geman-McClure function is adopted to approximate the l0-norm and to derive l0-norm adaptiveVolterra filters. It is shown through experimental results, also involving a real-world system, that the proposed adaptive filters can obtain improved performance in comparison with classical approaches and l1-norm solutions.

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