Title
Signal sparsity estimation from compressive noisy projections via γ-sparsified random matrices.
Abstract
In this paper, we propose a method for estimating the sparsity of a signal from its noisy linear projections without recovering it. The method exploits the property that linear projections acquired using a sparse sensing matrix are distributed according to a mixture distribution whose parameters depend on the signal sparsity. Due to the complexity of the exact mixture model, we introduce an approximate two-component Gaussian mixture model whose parameters can be estimated via expectation-maximization techniques. We demonstrate that the above model is accurate in the large system limit for a proper choice of the sensing matrix sparsifying parameter. Moreover, experimental results demonstrate that the method is robust under different signal-to-noise ratios and outperforms existing sparsity estimation techniques.
Year
Venue
Field
2016
ICASSP
Mixture distribution,Signal processing,Pattern recognition,Computer science,Matrix (mathematics),Software,Artificial intelligence,Mixture model,Compressed sensing,Sparse matrix,Random matrix
DocType
Citations 
PageRank 
Conference
1
0.35
References 
Authors
14
4
Name
Order
Citations
PageRank
Chiara Ravazzi111413.23
Sophie M. Fosson2448.96
Tiziano Bianchi3100362.55
Enrico Magli41319114.81