Lifting-Based Reversible Transforms for Lossy-to-Lossless Wavelet Codecs
CAIP '01 Proceedings of the 9th International Conference on Computer Analysis of Images and Patterns
A Novel FPGA Architecture of a 2-D Wavelet Transform
Journal of VLSI Signal Processing Systems
Implementation of the Notch Filters Using Subband Decomposition
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Information Sciences: an International Journal
Quasi-interpolatory refinable functions and construction of biorthogonal wavelet systems
Advances in Computational Mathematics
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We construct general biorthogonal Coifman wavelet systems, a new class of compactly supported biorthogonal wavelet systems with vanishing moments equally distributed for a scaling function and wavelet pair. A time-domain design method is employed and closed-form expressions for the impulse responses and the frequency responses of the corresponding dual filters are derived. The resulting filter coefficients are all dyadic fractions, which is an attractive feature in the realization of multiplication-free discrete wavelet transform. Even-ordered systems in this family are symmetric, which correspond to linear-phase dual filters. In particular, three filterbanks (FBs) in this family are systematically verified to have competitive compression potential to the 9-7 tap biorthogonal wavelet FB by Cohen et al. (1992), which is currently the most widely used one in the field of wavelet transform coding. In addition, the proposed FB's have much smaller computational complexity in terms of floating-point operations required in transformation, and therefore indicate a better tradeoff between compression performance and computational complexity