Program for New Century Excellent Talents in UniversityProgram for New Century Excellent Talents in University (NCET) [NCET-11-0654]; National Key Technology Research and Development ProgramNational Key Technology R&D Program [213BAH72B01, 2013BAH18F02]; Scientific R & D Project of State Education Ministry and China Mobile [MCM20121061]; National Social Science Fund of China [14BGL131]; Chinese Ministry of EducationMinistry of Education, China
Spectroscopic data often suffer from common problems of band overlap and noise. This paper presents a maximum a posteriori (MAP)-based algorithm for the band overlap problem. In the MAP framework, the likelihood probability density function (PDF) is constructed with Gaussian noise assumed, and the prior PDF is constructed with adaptive total variation (ATV) regularization. The split Bregman iteration algorithm is employed to optimize the ATV spectral deconvolution model and accelerate the speed of the spectral deconvolution. The main advantage of this algorithm is that it can obtain peak struc...