Performance analysis of compressed sensing given insufficient random measurements

AM Rateb, SK Syed‐Yusof - ETRI journal, 2013 - Wiley Online Library
AM Rateb, SK Syed‐Yusof
ETRI journal, 2013Wiley Online Library
Most of the literature on compressed sensing has not paid enough attention to scenarios in
which the number of acquired measurements is insufficient to satisfy minimal exact
reconstruction requirements. In practice, encountering such scenarios is highly likely, either
intentionally or unintentionally, that is, due to high sensing cost or to the lack of knowledge of
signal properties. We analyze signal reconstruction performance in this setting. The main
result is an expression of the reconstruction error as a function of the number of acquired …
Most of the literature on compressed sensing has not paid enough attention to scenarios in which the number of acquired measurements is insufficient to satisfy minimal exact reconstruction requirements. In practice, encountering such scenarios is highly likely, either intentionally or unintentionally, that is, due to high sensing cost or to the lack of knowledge of signal properties. We analyze signal reconstruction performance in this setting. The main result is an expression of the reconstruction error as a function of the number of acquired measurements.
Wiley Online Library
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