Results 261 to 270 of about 27,924 (308)

Initialization of orthogonal discrete wavelet transforms

IEEE Transactions on Signal Processing, 2000
Summary: The symptotic formulae of both the approximation error and the systematic error of a special prefilter projection and the quantitative estimates of the upper bounds of the errors are obtained. In addition, it is shown that for the Daubechies' orthogonal wavelet basis, the estimated constant is optimal.
Jiankang Zhang, Zheng Bao 0001
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Discrete Wavelets and Fast Wavelet Transform

1991
The wavelet analysis, introduced by J. MORLET and Y. MEYER in the middle of the eighties, is a processus of time-frequency (or time-scale) analysis which consists of decomposing a signal into a basis of functions (o jk ) called wavelets. These wavelets are in turn deduced from the analyzing wavelet o by dilatations and translations. More precisely:
Bonnet, Pierre, Rémond, Didier
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CONVOLUTION FOR THE DISCRETE WAVELET TRANSFORM

International Journal of Wavelets, Multiresolution and Information Processing, 2011
Translation and convolution associated with the discrete wavelet transform are investigated using properties of Calderón–Zygmund operator and Riesz fractional integral operator. Dual convolution is also studied. The wavelet convolution is applied to approximate functions belonging to certain Lp-spaces.
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Numerical Condition of Discrete Wavelet Transforms

SIAM Journal on Matrix Analysis and Applications, 1997
In many applications biorthogonal wavelets have been used rather than orthogonal ones, since the latter might exclude other useful properties like symmetry in the case of compactly supported wavelets. Thus one would like to study stability of biorthogonal wavelets and obtain quantitative information about sensitivity to noise in the data or ...
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The Discrete Wavelet Transform

2013
Introduction Here we introduce the discrete wavelet transform (DWT), which is the basic tool needed for studying time series via wavelets and plays a role analogous to that of the discrete Fourier transform in spectral analysis. We assume only that the reader is familiar with the basic ideas from linear filtering theory and linear algebra
Donald B. Percival, Andrew T. Walden
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Discrete Wavelet Transforms in Walsh Analysis

Journal of Mathematical Sciences, 2021
This paper presents a review of discrete wavelet transforms defined through generalized Walsh functions, including orthogonal discrete wavelet transform, biorthogonal discrete wavelet transform, nonstationary discrete wavelet transform, and periodic discrete wavelet transform, and show their applications in image processing, compression of fractal ...
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Efficient forward discrete wavelet transformer

2017 6th Mediterranean Conference on Embedded Computing (MECO), 2017
This paper describes the efficient one-dimensional forward discrete wavelet transformer with 5/3 filter. This design reuses the same registers for both low-pass and high-pass filtering in different time slots. It utilizes 33% less registers, 17% less logic elements, has 7% higher maximum operating frequency and 2% lower total power dissipation than ...
Goran Savic, Milan Prokin, Vladimir M. Rajovic, Dragana Prokin   +3 more
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VLSI architectures for discrete wavelet transforms

IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 1993
A folded architecture and a digit-serial architecture are proposed for implementation of one- and two-dimensional discrete wavelet transforms. In the one-dimensional folded architecture, the computations of all wavelet levels are folded to the same low-pass and high-pass filters.
Keshab K. Parhi, Takao Nishitani
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Discrete Wavelet Transform

2010
According to the definition of the continuous wavelet transform (CWT) given in (3.7), Chap. 3, the scale parameter s and translation parameter \(\tau\) can be varied continuously. As a result, performing the CWT on a signal will lead to the generation of redundant information.
Robert X. Gao, Ruqiang Yan
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Digit pipelined discrete wavelet transform

Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing, 2002
The paper describes a digit pipelined architecture for the 1D discrete wavelet transform, assuming a digit-serial model of computation. The use of simple operations and data movement makes it suitable for VLSI implementation and it can be easily mapped onto fine-grain custom VLSI and FPGA-based architectures.
Chetana Nagendra, Mary Jane Irwin, Robert Michael Owens   +2 more
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