Subband coding and noise reduction in multiresolution analysis frames

We consider the effect of the quantization noise introduced by coding at subbands. We demonstrate that significant noise reduction is achieved by using wavelet frames and their associated filter banks in a subband signal processing system.

[1]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[2]  Luc Vandendorpe,et al.  Optimized quantization for image subband coding , 1991, Signal Process. Image Commun..

[3]  Martin Vetterli,et al.  Wavelets and filter banks: theory and design , 1992, IEEE Trans. Signal Process..

[4]  John J. Benedetto,et al.  Multiresolution analysis frames with applications , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  Peter No,et al.  Digital Coding of Waveforms , 1986 .

[6]  P. P. Vaidyanathan,et al.  Effects of Multirate Systems on the Statistical Properties of Random Signals , 1993, IEEE Trans. Signal Process..

[7]  Peter H. Westerink,et al.  Scalar quantization error analysis for image subband coding using QMFs , 1992, IEEE Trans. Signal Process..

[8]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Someshwar C. Gupta,et al.  Multirate digital filters , 1979 .

[10]  John J. Benedetto,et al.  Narrow band frame multiresolution analysis with perfect reconstruction , 1994, Proceedings of IEEE-SP International Symposium on Time- Frequency and Time-Scale Analysis.