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Classic signal processing theory dictates that, in order to faithfully reconstruct a band-limited signal (e.g., an image), the sampling rate must be at least twice the maximum frequency contained within the signal, i.e., the Nyquist frequency. Recent developments in applied mathematics, however, have shown that it is often possible to reconstruct signals sampled below the Nyquist rate. This new method of compressed sensing (CS) requires that the signal have a concise and extremely densedoi:10.1102/1470-7330.2013.0041 pmid:24434808 pmcid:PMC3893904 fatcat:gawyr7c575htzfhot67ywrhwxa