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Title: Beyond trans-dimensional RJMCMC with a case study in impulsive data modeling
Authors: Karakuş, Oktay
Kuruoğlu, Ercan Engin
Altınkaya, Mustafa Aziz
Keywords: Generalized Gaussian distribution
Impulsive data modeling
PLC impulsive noise modeling
Reversible jump MCMC
Wavelet coefficients modeling
Publisher: Elsevier Ltd.
Source: Karakuş, O., Kuruoğlu, E. E., and Altınkaya, M. A. (2018). Beyond trans-dimensional RJMCMC with a case study in impulsive data modeling. Signal Processing, 153, 396-410. doi:10.1016/j.sigpro.2018.07.028
Abstract: Reversible jump Markov chain Monte Carlo (RJMCMC) is a Bayesian model estimation method, which has been generally used for trans-dimensional sampling and model order selection studies in the literature. In this study, we draw attention to unexplored potentials of RJMCMC beyond trans-dimensional sampling. the proposed usage, which we call trans-space RJMCMC exploits the original formulation to explore spaces of different classes or structures. This provides flexibility in using different types of candidate classes in the combined model space such as spaces of linear and nonlinear models or of various distribution families. As an application, we looked into a special case of trans-space sampling, namely trans-distributional RJMCMC in impulsive data modeling. In many areas such as seismology, radar, image, using Gaussian models is a common practice due to analytical ease. However, many noise processes do not follow a Gaussian character and generally exhibit events too impulsive to be successfully described by the Gaussian model. We test the proposed usage of RJMCMC to choose between various impulsive distribution families to model both synthetically generated noise processes and real-life measurements on power line communications impulsive noises and 2-D discrete wavelet transform coefficients.
ISSN: 0165-1684
Appears in Collections:Electrical - Electronic Engineering / Elektrik - Elektronik Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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