LOSSLESS INTEGER WAVELET TRANSFORM

Signal compression can be obtained by wavelet transformation of intege r input data followed by quantification and coding, As the quantificat ion is usually lossy, the whole compression/decompression scheme is lo ssy too. We define a critical wavelet coefficient quantification, i,e. , the coarsest quantification that allows perfect reconstruction, This is demonstrated for the Haar transform and for arbitrarily smooth wav elet transforms derived from it. The new integer wavelet transform all ows implementation of multiresolution subband compression schemes, in which the decompressed data are gradually refined, retaining the optio n of perfect reconstruction.