New upper bounds of cumulative coherence for
$\ell_{1-2}$-minimization in compressed sensing
Abstract
This paper focuses on the compressed sensing
$\ell_{1-2}$-minimization problem and develops new
bounds on cumulative coherence $\mu_1(s)$. We point
out that if cumulative coherence $\mu_1(s-1)$ and
$\mu_1(2s-1)$ satisfy
$(\ref{eq:EqNo2})$, or cumulative coherence $
\mu_1(2s-1)$ satisfies
$(\ref{eq:EqNo11})$ then the sparse signal can via
$\ell_{1-2}$-minimization problem stably recover in
noise model and exact recovery in free noise model.
