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Discrete Wavelet Transforms in Walsh Analysis
Journal of Mathematical Sciences, 2021This 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), 2017This 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 +3 more
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VLSI architectures for discrete wavelet transforms
IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 1993A 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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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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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, 2002The 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 +2 more
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Spherical wavelet transform and its discretization
Advances in Computational Mathematics, 1996Starting from continuous wavelet transform on the sphere the authors describe a continuous version of spherical multiresolution. Next, using a scale discretization they construct spherical counterparts to wavelet packets and scale discrete wavelets.
Freeden, Willi, Windheuser, U.
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VLSI implementation of discrete wavelet transform
IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 1996This paper presents a VLSI implementation of discrete wavelet transform (DWT). The architecture is systolic in nature and performs both high-pass and low-pass coefficient calculations with only one set of multipliers, in contrast to the approaches presented in the literature. The architecture is simple, modular, and cascadable, and has been implemented
A. Grzeszczak +2 more
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A VLSI architecture for discrete wavelet transform
Proceedings of 3rd IEEE International Conference on Image Processing, 2002The discrete wavelet transform (DWT) has received considerable attention in the context of image processing due to its temporal and frequency characteristics. A specific VLSI architecture for the forward/inverse DWT is presented. The characteristics of the structure and coefficients are utilized to reduce the circuit area.
Xuyun Chen +4 more
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Discrete Wavelet Transform Signal Analyzer
IEEE Transactions on Instrumentation and Measurement, 2007This paper addresses the problem of processing biological data, such as cardiac beats in the audio and ultrasonic range, and on calculating wavelet coefficients in real time, with the processor clock running at a frequency of present application-specified integrated circuits and field programmable gate array.
Cox, Pedro Henrique +1 more
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The Discrete Wavelet Transform
2004The MRA structure allows for the convenient, fast, and exact calculation of the wavelet coefficients of an L 2 function by providing a recursion relation between the scaling coefficients at a given scale and the scaling and wavelet coefficients at the next coarser scale. In order to specify this relation, let {V j × be an MRA with scaling function φ(x).
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