2007 · 411 citations · 10 references
EngineeringElectrical EngineeringAnalog ElectronicsDigital CommunicationInformation TheoryAnalog Integrated CircuitsData CompressionDigital Signal ProcessingLossy Data CompressionNoise In Analog CircuitsSignal ConditioningAnalog-to-digital ConversionAnalog-to-digital Converter DesignAnalog-to-digital ConvertersCompressed SensingCompressive SensingDemodulationSparse ReconstructionSparse Representation Compression
The new theory of compressive sensing enables direct analog-to-information conversion of compressible signals at sub-Nyquist acquisition rates. The authors develop new theory, algorithms, performance bounds, and a prototype implementation for an analog-to-information converter based on random demodulation. The architecture is particularly apropos for wideband signals that are sparse in the time-frequency plane. End-to-end simulations of a complete transistor-level implementation prove the concept under the effect of circuit nonidealities.
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David L. Donoho · IEEE Transactions on Information Theory · 2006 · 23.1K citations
Atomic Decomposition by Basis Pursuit
Scott Shaobing Chen, David L. Donoho, Michael A. Saunders · SIAM Review · 2001 · 5.1K citations