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<p>This article outlines a collaborative tensor decomposable Volterra filter (CTDVF), featuring a collaborative model that implements tensor decomposition to adjust linear weights and Volterra kernel coefficients, with the capacity to automatically activate or deactivate nonlinearity. Specifically, the tensor product and decomposable Volterra model are incorporated to accelerate the convergence rate. A convergence analysis of the CTDVF is performed to characterize the mean stability. Numerical experiments corroborate the excellent convergence performance of the proposed CTDVF.</p>

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A Collaborative Tensor Decomposable Volterra Filter and Its Convergence Analysis

  • 期刊论文

  • 发表日期：

    2025年9月4日

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  • Tao Yu,
  • Jianfan Lai,
  • Binyu Wang,
  • Xiang Li,
  • Yi Yu

摘要

This article outlines a collaborative tensor decomposable Volterra filter (CTDVF), featuring a collaborative model that implements tensor decomposition to adjust linear weights and Volterra kernel coefficients, with the capacity to automatically activate or deactivate nonlinearity. Specifically, the tensor product and decomposable Volterra model are incorporated to accelerate the convergence rate. A convergence analysis of the CTDVF is performed to characterize the mean stability. Numerical experiments corroborate the excellent convergence performance of the proposed CTDVF.