We present the lifting scheme, a simple construction of second generation wavelets; these
are wavelets that are not necessarily translates and dilates of one fixed function. Such …

We present the lifting scheme, a new idea for constructing compactly supported wavelets
with compactly supported duals. The lifting scheme uses a simple relationship between all …

This article is essentially tutorial in nature. We show how any discrete wavelet transform or
two band subband filtering with finite filters can be decomposed into a finite sequence of …

Wavelets have been making an appearance in many pure and applied areas of science
and engineering. Computer graphics with its many and varied computational problems has …

In this paper we present the basic idea behind the lifting scheme, a new construction of
biorthogonal wavelets which does not use the Fourier transform. In contrast with earlier papers …

Wavelets have proven to be powerful bases for use in numerical analysis and signal
processing. Their power lies in the fact that they only require a small number of coefficients to …

The purpose of this paper is to give a very short,\nuts and bolts", introduction to the lifting
scheme and provide references for further reading. The lifting scheme is a new method for …

Invertible wavelet transforms that map integers to integers have important applications in
lossless coding. In this paper we present two approaches to build integer to integer wavelet …

In this paper an overview of wavelet based multiresolution analyses is presented. First, the
continuous wavelet transform in its simplest form is discussed. Then, the definition of a …

We present a framework for differential modulation with multiple antennas across a
continuously fading channel, where neither the transmitter nor the receiver knows the fading …