The lifting scheme offers a refined approach to implementing the Discrete Wavelet Transform (DWT) by decomposing traditional convolution-based filtering into a succession of simple, in-place ...

The Discrete Wavelet Transform (DWT) has gained the reputation of being a very effective signal analysis tool for many practical applications. This paper presents an approach towards VLSI ...

Given a scaling function ?0, mother wavelet ?0, and maximum scale level J, DWT is a mapping from x(t) to the approximation coefficients ax and detail coefficients dx: x(t) ?{ax(J, k), dx(j, k), j ? [1 ...

Recent applied mathematics research on the properties of the invertible shift-invariant discrete wavelet transform has produced new ways to visualize, separate, and synthesize impulsive sounds, such ...

In a series of recent articles on nonparametric regression, Donoho and Johnstone developed wavelet-shrinkage methods for recovering unknown piecewise-smooth deterministic signals from noisy data.

Given a scaling function ?0, mother wavelet ?0, and maximum scale level J, DWT is a mapping from x (t) to the approximation coefficients ax and detail coefficients dx: ...