Data compression and harmonic analysis. (English) Zbl 1125.94311

Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid

IEEE Trans. Inf. Theory 44, No. 6, 2435-2476 (1998).

MSC:

94A29	Source coding
94A11	Application of orthogonal and other special functions
94A12	Signal theory (characterization, reconstruction, filtering, etc.)
94A34	Rate-distortion theory in information and communication theory

Keywords:

Rate-Distortion; Karhunen-Loève Transform; Gaussian Process; non-Gaussian Process; Second-order statistics; Transform Coding; Subband Coding; Block Coding; Scalar Quantization; \(\varepsilon\)-Entropy; \(n\)-widths; Sobolev Spaces; Besov Spaces; Fourier Transform; Wavelet Transform; Gabor Transform; Wilson Bases; Wavelet Packets; Cosine Packets; Littlewood-Paley theory; Sampling Theorem