Unsupervised joint decomposition of a spectroscopic signal sequence

作者：Mazet Vincent^*; Faisan Sylvain; Awali Slim; Gaveau Marc Andre; Poisson Lionel

来源：Signal Processing, 2015, 109: 193-205.

DOI：10.1016/j.sigpro.2014.10.032

• Signal decomposition
• Sequence of spectroscopic signals
• Hierarchical Bayesian model
• Markovian prior
• RJMCMC

This paper addresses the problem of decomposing a sequence of spectroscopic signals. Data are a series of signals modeled as a noisy sum of parametric peaks. We aim to estimate the peak parameters given that they change slowly between two contiguous signals. The key idea is to decompose the whole sequence rather than each signal independently. The problem is set within a Bayesian framework. The peaks with similar evolution are gathered into groups and a Markovian prior on the peak parameters of a same group is used to favor a smooth evolution of the peaks. In addition, the peak number and the group number are unknown and have to be estimated (the number of peaks in two contiguous signals change if peaks vanish). Therefore, the posterior distribution is sampled with a reversible jump Markov chain Monte Carlo algorithm. Simulations conducted on synthetic and real photoelectron data illustrate the performance of the method.

• 出版日期2015-4
• 单位中国地震局