Title
Dictionary Learning for Blind One Bit Compressed Sensing
Abstract
This letter proposes a dictionary learning algorithm for blind one bit compressed sensing. In the blind one bit compressed sensing framework, the original signal to be reconstructed from one bit linear random measurements is sparse in an unknown domain. In this context, the multiplication of measurement matrix ${rm A}$ and sparse domain matrix $Phi $, i.e., ${rm D} = {rm A}Phi $, should be learned. Hence, we use dictionary learning to train this matrix. Towards that end, an appropriate continuous convex cost function is suggested for one bit compressed sensing and a simple steepest-descent method is exploited to learn the rows of the matrix ${rm D}$. Experimental results show the effectiveness of the proposed algorithm against the case of no dictionary learning, specially with increasing the number of training signals and the number of sign measurements.
Year
DOI
Venue
2015
10.1109/LSP.2015.2503804
Signal Processing Letters, IEEE
Keywords
DocType
Volume
Compressed sensing,dictionary learning,one bit measurements,steepest-descent
Journal
23
Issue
ISSN
Citations 
2
1070-9908
10
PageRank 
References 
Authors
0.49
16
3
Name
Order
Citations
PageRank
Hadi. Zayyani19615.51
Mehdi Korki2465.98
Farrokh Marvasti311313.55