Title
Penalized L1 minimization for reconstruction of time-varying sparse signals
Abstract
In this paper, we propose a penalized ℓ1 minimization algorithm for reconstructing a time-varying signal based on compressive sensing (CS) principles. The time-varying signal can be seen as a sequence of slow-changing frames. In the proposed algorithm, all frames of the sequence are sampled at an equal rate, which makes the encoder simpler than frame-categorized methods. We introduce a specialized Fréchet mean of the target frame and several adjacent frames as the penalty vector to make the algorithm close to ℓ0 minimization. We prove that the specialized Fréchet mean is a good approximation of the target frame for a sequence of slow time-varying signals. Experimental results demonstrates the superior reconstruction quality of the proposed algorithm.
Year
DOI
Venue
2011
10.1109/ICASSP.2011.5947226
ICASSP
Keywords
Field
DocType
image reconstruction,approximation algorithms,estimation,imaging,minimization,signal to noise ratio
Iterative reconstruction,Approximation algorithm,Fréchet mean,L1 minimization,Pattern recognition,Computer science,Signal-to-noise ratio,Minification,Encoder,Artificial intelligence,Compressed sensing
Conference
ISSN
ISBN
Citations 
1520-6149 E-ISBN : 978-1-4577-0537-3
978-1-4577-0537-3
2
PageRank 
References 
Authors
0.38
2
3
Name
Order
Citations
PageRank
Wei Chen120.38
Miguel R. D. Rodrigues21500111.23
Ian J. Wassell328835.10