Title
Sample allocation for statistical multiresolution compressed sensing
Abstract
We model the compressible signal with the two states Gaussian mixture distribution and consider the sample distortion function for the recently proposed Bayesian optimal AMP decoder. By leveraging the rigorous analysis of the AMP algorithm, we are able to derive the theoretical SD function and a sample allocation scheme for multi-resolution statistical image model. We then adopt the “turbo” message passing method to integrate the bandwise sample allocation with the exploitation of the hidden Markov tree structure of wavelet coefficients. Experiments on natural image show that the combination outperforms either of them working alone.
Year
DOI
Venue
2013
10.1109/ICASSP.2013.6638711
ICASSP
Keywords
Field
DocType
turbo codes,turbo message passing method,gaussian mixture distribution,sample allocation,wavelet transforms,statistical analysis,gaussian distribution,sample distortion function,bayesian optimal amp,hidden markov tree structure,compressed sensing,wavelet coefficients,signal resolution,message passing,compressible signal,hidden markov models,bandwise sample allocation,bayesian optimal amp decoder,turbo decoding,statistical multiresolution compressed sensing,resource management,distortion,decoding,image reconstruction
Pattern recognition,Computer science,Turbo code,Distortion function,Artificial intelligence,Hidden Markov model,Message passing,Compressed sensing,Wavelet,Wavelet transform,Bayesian probability
Conference
ISSN
Citations 
PageRank 
1520-6149
1
0.40
References 
Authors
7
2
Name
Order
Citations
PageRank
Chunli Guo1263.82
Mike E. Davies21664120.39