Results 211 to 220 of about 4,895 (259)

CONVERGENCE OF THE DISCRETE WAVELET TRANSFORM

International Journal of Wavelets, Multiresolution and Information Processing, 2012
The discrete wavelet transform; depending of the pair of integers (m, n), applied to functions f in L2(R) with respect to an admissible function h in L2(R) of class C∞ with compact support, is used to prove that f is continuous at x = 0, and furthermore at any x = b in R if and only if there exists the convergence of the discrete wavelet transform, as
Jaime Navarro, Oscar Herrera-Alcántara
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Hardware implementation of Discrete Wavelet Transform and Inverse Discrete Wavelet Transform on FPGA

2010 IEEE 18th Signal Processing and Communications Applications Conference, 2010
In this paper, hardware implementation of the Discrete Wavelet Transform (DWT) and Inverse Discrete Wavelet Transform (IDWT) based on FPGA is explained. DWT and IDWT algorithms are implemented on the Altera Cyclone-II FPGA. Filtering processes of rows and columns are seriatim applied as in level-by-level architecture. But both addressing for read/write
Çavuşlu, Mehmet Ali, Karakaya, Fuat
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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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