Donoho, David L.Vetterli, MartinDeVore, R. A.Daubechies, Ingrid2005-04-182005-04-182005-04-18199810.1109/18.720544https://infoscience.epfl.ch/handle/20.500.14299/212797WOS:000076437400016In this paper we review some recent interactions between harmonic analysis and data compression. The story goes back of course to Shannon’sBesov spacesblock codingWilson baseswavelet transformwavelet packetstransform codingsubband codingSobolev spacessecond-order statisticsscalar quantizationsampling theoremn-widthsnon- Gaussian processLittlewood–Paley theoryKarhunen–Loève transformGaussian proc- essGabor transformFourier transform€- entropycosine packetsrate-distortiontext::journal::journal article::research article