When atomic norm meets the G-filter: A general framework for line spectral estimation

Autor:	Zhu, Bin, Tang, Jiale
Rok vydání:	2024
Předmět:	Electrical Engineering and Systems Science - Signal Processing
Druh dokumentu:	Working Paper
Popis:	This paper proposes a novel approach for line spectral estimation which combines Georgiou's filter bank (G-filter) with atomic norm minimization (ANM). A key ingredient is a Carath\'{e}odory--Fej\'{e}r-type decomposition for the covariance matrix of the filter output. The resulting optimization problem can be characterized via semidefinite programming and contains the standard ANM for line spectral estimation as a special case. Simulations show that our approach outperforms the standard ANM in terms of recovering the number of spectral lines when the signal-to-noise ratio is no lower than 0 dB and the G-filter is suitably designed. Comment: 5 pages, 3 figures. Submitted to the Satellite Workshop HiPeCASP of ICASSP 2025
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.12349 Zobrazit plný text záznamu View this record from Arxiv