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\title{On the Connection between Channel Coding LP Decoding and Compressed
Sensing LP Decoding }

\author{Alex G. Dimakis, Roxana Smarandache \ and Pascal O.~Vontobel}
\maketitle
\begin{abstract}
 
 Channel coding linear programming decoding (CC-LPD) and compressed sensing
linear programming decoding (CS-LPD) are not only formally related,
but they have a deeper connection. This connection is given by a lemma that
maps vectors  in the nullspace of some zero-one measurement matrix into vectors of
the fundamental cone defined by that matrix. This lemma can be extended from zero-one
measurement  matrices to complex  measurement matrices where the absolute value of every entry is a
non-negative integer. Moreover, this lemma and its generalizations can be used to translate performance
guarantees from CC-LPD to CS-LPD. 


\end{abstract}

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