dorsal/arxiv
View SchemaP-norm based Fractional-Order Robust Subband Adaptive Filtering Algorithm for Impulsive Noise and Noisy Input
| Authors | Jianhong Ye, Haiquan Zhao, Yi Peng |
|---|---|
| Categories | |
| ArXiv ID | 2601.10074vv1 |
| URL | https://arxiv.org/abs/2601.10074 |
| DOI | 10.1109/LSP.2025.3642765 |
| Journal | IEEE Signal Processing Letters, vol. 33, pp. 281 - 285, December 2025 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Building upon the mean p-power error (MPE) criterion, the normalized subband p-norm (NSPN) algorithm demonstrates superior robustness in $\alpha$-stable noise environments ($1 < \alpha \leq 2$) through effective utilization of low-order moment hidden in robust loss functions. Nevertheless, its performance degrades significantly when processing noise input or additive noise characterized by $\alpha$-stable processes ($0 < \alpha \leq 1$). To overcome these limitations, we propose a novel fractional-order NSPN (FoNSPN) algorithm that incorporates the fractional-order stochastic gradient descent (FoSGD) method into the MPE framework. Additionally, this paper also analyzes the convergence range of its step-size, the theoretical domain of values for the fractional-order $\beta$, and establishes the theoretical steady-state mean square deviation (MSD) model. Simulations conducted in diverse impulsive noise environments confirm the superiority of the proposed FoNSPN algorithm against existing state-of-the-art algorithms.
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"abstract": "Building upon the mean p-power error (MPE) criterion, the normalized subband p-norm (NSPN) algorithm demonstrates superior robustness in $\\alpha$-stable noise environments ($1 \u003c \\alpha \\leq 2$) through effective utilization of low-order moment hidden in robust loss functions. Nevertheless, its performance degrades significantly when processing noise input or additive noise characterized by $\\alpha$-stable processes ($0 \u003c \\alpha \\leq 1$). To overcome these limitations, we propose a novel fractional-order NSPN (FoNSPN) algorithm that incorporates the fractional-order stochastic gradient descent (FoSGD) method into the MPE framework. Additionally, this paper also analyzes the convergence range of its step-size, the theoretical domain of values for the fractional-order $\\beta$, and establishes the theoretical steady-state mean square deviation (MSD) model. Simulations conducted in diverse impulsive noise environments confirm the superiority of the proposed FoNSPN algorithm against existing state-of-the-art algorithms.",
"arxiv_id": "2601.10074",
"authors": [
"Jianhong Ye",
"Haiquan Zhao",
"Yi Peng"
],
"categories": [
"eess.SP"
],
"doi": "10.1109/LSP.2025.3642765",
"journal_ref": "IEEE Signal Processing Letters, vol. 33, pp. 281 - 285, December 2025",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "P-norm based Fractional-Order Robust Subband Adaptive Filtering Algorithm for Impulsive Noise and Noisy Input",
"url": "https://arxiv.org/abs/2601.10074",
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