Systems Engineering and Electronics
Previous Articles Next Articles
WANG Jie-jie, ZHANG Jian-qiu
Online:
Published:
Abstract:
To estimate the line spectrum of data corrupted with outliers, a robust atomic norm denoising method is proposed. In the method, an optimization problem jointly estimating the outliers and the original signal is formulated. By adding an l1 norm penalty on the outliers and an atomic norm penalty on the signal to the cost function, the sparsity in the outliers and the signal own characteristics are constrained. Once the optimization problem is solved, the existed spectral estimation algorithms can be used to estimate the spectrum of the denoised signal. The simulation results indicate that when the observed data are corrupted with outliers, the proposed method can acquire a more accurate original signal estimation, thus the spectral estimation will be of higher precision and resolution.
WANG Jie-jie, ZHANG Jian-qiu. Robust atomic norm denoising with its applications to line spectral estimation[J]. Systems Engineering and Electronics, doi: 10.3969/j.issn.1001-506X.2015.06.04.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: https://www.sys-ele.com/EN/10.3969/j.issn.1001-506X.2015.06.04
https://www.sys-ele.com/EN/Y2015/V37/I6/1249