Exact Reconstruction Conditions for Regularized Modified Basis Pursuit

Details Exact Reconstruction Conditions for Regularized Modified Basis Pursuit Exact Reconstruction Conditions for Regularized Modified Basis Pursuit

2011-08-16

arxiv.org/abs/1108.3350v2

IEEE Transactions on Signal Processing, May 2012

Computer Science

Information Theory

17 pages

Scientific paper

In this correspondence, we obtain exact recovery conditions for regularized modified basis pursuit (reg-mod-BP) and discuss when the obtained conditions are weaker than those for modified-CS or for basis pursuit (BP). The discussion is also supported by simulation comparisons. Reg-mod-BP provides a solution to the sparse recovery problem when both an erroneous estimate of the signal's support, denoted by $T$, and an erroneous estimate of the signal values on $T$ are available.

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