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Xavier Andrade edited Theory.tex
over 9 years ago
Commit id: 765d4c3b0bd010e05b7a0728ac08a5834b74ae88
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\ i,j \in W \ ,
\end{equation}
where the 1-norm is considered as a \emph{vector} norm
(\(||A||_1 = \sum_{i,j} \left|A_{ij}\right|\)), and \(W\) is a set of randomly chosen matrix entries. The size of
\(W\) \(W\), that we call \(M\) is the number of matrix elements of \(B\) that we need to
sample, sample and
it will determine determines the
success quality of the reconstruction.
From compressed sensing theory we can find a lower bound to the size
One important requirement for compressed sensing is that the basis
$\{\psi_i\}$ for \(A\) and the basis $\{\phi_i\}$ for \(B\) should be