Handling borders in systolic architectures for the 1-D discrete wavelet transform for perfect reconstruction

Ferretti, Marco; Rizzo, Davide

doi:10.1109/78.839983

Cited by 27 publications

(17 citation statements)

References 18 publications

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“…Various methods of extending the finite series are given in the literature (Hadaś-Dyduch, 2016b;Ferretti, Rizzo, 2000;Cohen, Daubechies, & Jawerth, 1993;Strang & Nguyen, 1996). Each method has its advantages and disadvantages.…”

Section: Extending Of the Time Seriesmentioning

confidence: 99%

Nonlinear Alleviation of Edge Effects in the Context of Minimizing Prediction Errors

Hadaś-Dyduch¹

2018

IJEF

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The aim of this article is to describe so-called "edge effects" in the context of wavelet analysis. The problem of "edge effects" is displayed in cases where the filter length is greater than 2. This is due to the fact that the calculation of the wavelet coefficients for the development of the last signal of finite elements, the filter -should theoretically move beyond the signal. The article describes different ways to solve this problem using an authored approach. One of the ways presented in the article is an innovative approach in terms of "edge effects". The author's proposal is based on the nonlinear function of the trend after the division of the series into smaller units. The results obtained show that in comparison with other methods, the author's method reduces errors. In this article, the Daubechies wavelet was used for the study. The Daubechies wavelets are a family of orthogonal wavelets, characterized by a maximum number of vanishing moments for a given support.

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Section: Extending Of the Time Seriesmentioning

confidence: 99%

Nonlinear Alleviation of Edge Effects in the Context of Minimizing Prediction Errors

Hadaś-Dyduch¹

2018

IJEF

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“…As for the convolutionbased architectures [3][4][5], the boundary extension issue is not discussed frequently, which could change the overall architecture. The symmetric extension has been considered in [6,7], and the periodic extension has been discussed in [8]. However, no convolution-based architectures for SA-DWT have been proposed.…”

Section: Introductionmentioning

confidence: 99%

VLSI Architecture for Lifting-Based Shape-Adaptive Discrete Wavelet Transform with Odd-Symmetric Filters

Huang

Tseng

Chen

2005

J VLSI Sign Process Syst Sign Image Video Technol

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Abstract. In this paper, a VLSI architecture for lifting-based shape-adaptive discrete wavelet transform (SA-DWT) with odd-symmetric filters is proposed. The proposed architecture is comprised of a stage-based boundary extension strategy and the shape-adaptive boundary handling units. The former could reduce the complexity of multiplexers that are introduced to solve the shape-adaptive boundary extension. The latter consists of two multiplexers and can solve the shape-adaptive boundary extension locally without any additional register. Two case studies are presented, including the JPEG 2000 default (9, 7) filter and MPEG-4 default (9, 3) filter. According to comparison results with previous architectures, the efficiency of the proposed architectures is proven.

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“…Besides, various extension methods have been developed to overcome border distortion effect [11]. Extension methods such as zero padding, smooth padding of order 1 and symmetric extension are the most popular methods which has always been used recently having its own drawbacks [3], [12], [13].…”

Section: Introductionmentioning

confidence: 99%

Comparative Study of Extension Mode Method in Reducing Border Distortion Effect for Transient Voltage Disturbance

Asman

Abidin

2017

IJEECS

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Handling borders in systolic architectures for the 1-D discrete wavelet transform for perfect reconstruction

Cited by 27 publications

References 18 publications

Nonlinear Alleviation of Edge Effects in the Context of Minimizing Prediction Errors

Nonlinear Alleviation of Edge Effects in the Context of Minimizing Prediction Errors

VLSI Architecture for Lifting-Based Shape-Adaptive Discrete Wavelet Transform with Odd-Symmetric Filters

Comparative Study of Extension Mode Method in Reducing Border Distortion Effect for Transient Voltage Disturbance

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