Atomic Norm Soft Thresholding for Sparse Time-frequency Representation
Signal Processing
2025-01-15 v1
Abstract
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.
Cite
@article{arxiv.2501.07799,
title = {Atomic Norm Soft Thresholding for Sparse Time-frequency Representation},
author = {Zongyue Yang and Baoqing Ding and Shibin Wang and Chuang Sun and Xuefeng Chen},
journal= {arXiv preprint arXiv:2501.07799},
year = {2025}
}
Comments
12 pages