Data Compression and Harmonic Analysis

@article{citeulike:842932, abstract = {In this paper we review some recent interactions between harmonic analysis and data compression. The story goes back of course to Shannon's R(D) theory in the case of Gaussian stationary processes, which says that transforming into a Fourier basis followed by block coding gives an optimal lossy compression technique; practical developments like transformbased image compression have been inspired by this result. In this paper we also discuss connections perhaps less familiar to the Information ...}, author = {Donoho and Vetterli and Devore and Daubechies}, citeulike-article-id = {842932}, journal = {IEEETIT: IEEE Transactions on Information Theory}, posted-at = {2008-05-28 12:49:51}, priority = {0}, title = {Data Compression and Harmonic Analysis}, url = {http://citeseer.ist.psu.edu/donoho98data.html}, volume = {44}, year = {1998} }

TY - JOUR ID - citeulike:842932 L3 - citeulike-article-id:842932 TI - Data Compression and Harmonic Analysis JF - IEEETIT: IEEE Transactions on Information Theory VL - 44 N2 - In this paper we review some recent interactions between harmonic analysis and data compression. The story goes back of course to Shannon's R(D) theory in the case of Gaussian stationary processes, which says that transforming into a Fourier basis followed by block coding gives an optimal lossy compression technique; practical developments like transformbased image compression have been inspired by this result. In this paper we also discuss connections perhaps less familiar to the Information ... AU - Donoho AU - Vetterli AU - Devore AU - Daubechies PY - 1998/// UR - http://citeseer.ist.psu.edu/donoho98data.html ER -