Thispapersurveysthetheoryofcompressivesamplingalsoknownascompressedsensing,orCS,anovelsensing/samplingparadigmthatgoesagainstthecommonwisdomindataacquisition.TheCStheoryassertsthatonecanrecovercertainsignalsandimagesfromfarfewersamplesormeasurementsthantraditionalmethodsuse.Tomaket