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ICASSP
2010
IEEE
12 years 11 months ago
Using reed-muller sequences as deterministic compressed sensing matrices for image reconstruction
An image reconstruction algorithm using compressed sensing (CS) with deterministic matrices of second-order ReedMuller (RM) sequences is introduced. The 1D algorithm of Howard et ...
Kangyu Ni, Somantika Datta, Prasun Mahanti, Svetla...
CORR
2010
Springer
126views Education» more  CORR 2010»
12 years 11 months ago
Reed Muller Sensing Matrices and the LASSO
We construct two families of deterministic sensing matrices where the columns are obtained by exponentiating codewords in the quaternary Delsarte-Goethals code DG(m, r). This meth...
A. Robert Calderbank, Sina Jafarpour
ICASSP
2011
IEEE
12 years 8 months ago
The value of redundant measurement in compressed sensing
The aim of compressed sensing is to recover attributes of sparse signals using very few measurements. Given an overall bit budget for quantization, this paper demonstrates that th...
Victoria Kostina, Marco F. Duarte, Sina Jafarpour,...
ICASSP
2011
IEEE
12 years 8 months ago
Deterministic compressed-sensing matrices: Where Toeplitz meets Golay
Recently, the statistical restricted isometry property (STRIP) has been formulated to analyze the performance of deterministic sampling matrices for compressed sensing. In this pa...
Kezhi Li, Cong Ling, Lu Gan
CORR
2010
Springer
145views Education» more  CORR 2010»
13 years 2 months ago
Orthogonal symmetric Toeplitz matrices for compressed sensing: Statistical isometry property
Recently, the statistical restricted isometry property (RIP) has been formulated to analyze the performance of deterministic sampling matrices for compressed sensing. In this paper...
Kezhi Li, Lu Gan, Cong Ling