Ten lectures on wavelets
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ASILOMAR '95 Proceedings of the 29th Asilomar Conference on Signals, Systems and Computers (2-Volume Set)
Parameterization of Symmetric Multiwavelets
ICASSP '97 Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '97)-Volume 3 - Volume 3
Parameterization and implementation of orthogonal wavelet transforms
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 03
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IEEE Transactions on Information Theory
Efficient Implementation of Rotation Operations for High Performance QRD-RLS Filtering
ASAP '97 Proceedings of the IEEE International Conference on Application-Specific Systems, Architectures and Processors
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In this paper the efficient implementation of different types of orthogonal wavelet transforms with respect to practical applications is discussed. Orthogonal singlewavelet transforms being based on one scaling function and one wavelet function are used for denosing of signals. Orthogonal multiwavelets are based on several scaling functions and several wavelets. Since they allow properties like regularity, orthogonality and symmetry being impossible in the singlewavelet case, multiwavets are well suited bases for image compression applications. With respect to an efficient implementation of these orthogonal wavelet transforms approximating the exact rotation angles of the corresponding orthogonal wavelet lattice filters by using very few CORDIC--based elementary rotations reduces the number of shift and add operations significantly. The performance of the resulting, computationally cheap, approximated wavelet transforms with respect to practical applications is discussed in this paper.