Deconvolution methods based on phi(HL) regularization for spectral recovery

作者:Zhu Hu; Deng Lizhen*; Bai Xiaodong; Li Meng; Cheng Zhao
来源:Applied Optics, 2015, 54(14): 4337-4344.
DOI:10.1364/AO.54.004337

摘要

The recorded spectra often suffer noise and band overlapping, and deconvolution methods are always used for spectral recovery. However, during the process of spectral recovery, the details cannot always be preserved. To solve this problem, two regularization terms are introduced and proposed. First, the conditions on the regularization term are analyzed for smoothing noise and preserving detail, and according to these conditions, phi(HL) regularization is introduced into the spectral deconvolution model. In view of the deficiency of phi(HL) under noisy condition, adaptive phi(HL) regularization (phi(AHL)) is proposed. Then semi-blind deconvolution methods based on phi(HL) regularization (SBD-HL) and based on adaptive phi(HL) regularization (SBD-AHL) are proposed, respectively. The simulation experimental results indicate that the proposed SBD-HL and SBD-AHL methods have better recovery, and SBD-AHL is superior to SBD-HL, especially in the noisy case.