Atomic Norm Soft Thresholding for Sparse Time-frequency Representation
Fuente:
arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915102116020224 |
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| author | Yang, Zongyue Ding, Baoqing Wang, Shibin Sun, Chuang Chen, Xuefeng |
| author_facet | Yang, Zongyue Ding, Baoqing Wang, Shibin Sun, Chuang Chen, Xuefeng |
| contents | Time-frequency (TF) representation of non-stationary signals typically requires the effective concentration of energy distribution along the instantaneous frequency (IF) ridge, which exhibits intrinsic sparsity. Inspired by the sparse optimization over continuum via atomic norm, a novel atomic norm soft thresholding for sparse TF representation (AST-STF) method is proposed, which ensures accurate TF localization under the strong duality. Numerical experiments demonstrate that the performance of the proposed method surpasses that of conventional methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07799 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Atomic Norm Soft Thresholding for Sparse Time-frequency Representation Yang, Zongyue Ding, Baoqing Wang, Shibin Sun, Chuang Chen, Xuefeng Signal Processing Time-frequency (TF) representation of non-stationary signals typically requires the effective concentration of energy distribution along the instantaneous frequency (IF) ridge, which exhibits intrinsic sparsity. Inspired by the sparse optimization over continuum via atomic norm, a novel atomic norm soft thresholding for sparse TF representation (AST-STF) method is proposed, which ensures accurate TF localization under the strong duality. Numerical experiments demonstrate that the performance of the proposed method surpasses that of conventional methods. |
| title | Atomic Norm Soft Thresholding for Sparse Time-frequency Representation |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2501.07799 |