Additional constraints to ensure three vanishing moments for orthonormal wavelet filter banks and transient detection

Uzinski, Julio Cezar; Paiva, Henrique Mohallem; Villareal, F.; Duarte, Marco Aparecido Queiroz; Galvão, Roberto Kawakami Harrop

doi:10.5540/tema.2015.016.01.0017

Cited by 2 publications

(4 citation statements)

References 12 publications

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“…According to [11][12][13], the parameterization based on (6) satisfies the conditions for orthonormality presented in [9],…”

Section: N I H Andmentioning

confidence: 99%

“…The formulation of [7] guarantees the orthonormality of the filter bank, on the other hand, it does not guarantee that the parameterized wavelet has a number of pre-determined vanishing moments; in this sense, [10] extend the formulation and present restrictions to guarantee up to two vanish moments and in [11][12][13] the authors has made the extension to vanishing moments of at least three.…”

Section: Regularity Of Sherlock and Monro Waveletsmentioning

confidence: 99%

“…According to [11][12][13], continuing with the reasoning, in order to obtain a third vanishing moment it is necessary to satisfy (12)…”

Section: Regularity Of Sherlock and Monro Waveletsmentioning

confidence: 99%

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Angular Parameterization of Orthonormal Wavelet Filter Banks in Power Quality: A Method for Detecting Disturbances in the Voltage Waveforms

2019

RAEJ

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Detecting transients in the voltage waveforms is one of the most important issues in power quality for both the preservation of equipment connected to the network, as well as the power supply. Among various techniques for detection of transients in electrical signals highlights, the wavelet transform is a method that can determine the instant when the disturbances occur and can detect different types in a same signal. The orthonormal wavelet filter banks yield a perfect reconstruction of a decomposed signal and if the regularity of the used wavelets is high, where the compression of the regular parts of the signal is good, and better evidencing of the singularities is at hand. In this paper, an orthonormal wavelet filter banks parameterization for detecting disturbances in the voltage waveforms is proposed. To evaluate the proposed methodology, some tests of detecting singularities in the voltage waveforms are presented.

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“…According to [11][12][13], the parameterization based on (6) satisfies the conditions for orthonormality presented in [9],…”

Section: N I H Andmentioning

confidence: 99%

Section: Regularity Of Sherlock and Monro Waveletsmentioning

confidence: 99%

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Angular Parameterization of Orthonormal Wavelet Filter Banks in Power Quality: A Method for Detecting Disturbances in the Voltage Waveforms

2019

RAEJ

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“…There are extensions to the formulation of (5) to ensure greater regularity, in this sense it can be mentioned the works that present these extensions: additional restrictions to ensure at least two vanishing moments are proposed in [24] and additional restrictions to ensure at least three vanishing moments are proposed in [23,25].…”

Section: Introductionmentioning

confidence: 99%

A state-space description for perfect-reconstruction wavelet FIR filter banks with special orthonormal basis functions

Uzinski

Paiva

Duarte

et al. 2015

Journal of Computational and Applied Mathematics

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a b s t r a c tThis paper presents a state space description for wavelet FIR filter banks with perfect reconstruction using special orthonormal basis functions. The FIR structure guarantees the BIBO stability, robustness and improves the filter divergence problem while orthonormal basis functions have characteristics that make them attractive in the modeling of dynamic systems. The state space description presented in this paper has all of those advantages and is minimal.

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Additional constraints to ensure three vanishing moments for orthonormal wavelet filter banks and transient detection

Abstract: ABSTRACT. This article presents an improvement to the formulation of Sherlock and Monro for the wavelet parameterization for the obtainment of the restrictions which ensure three vanishing moments. In order to test the formulation presented, a transient signal detection is presented.

Cited by 2 publications

References 12 publications

Angular Parameterization of Orthonormal Wavelet Filter Banks in Power Quality: A Method for Detecting Disturbances in the Voltage Waveforms

Angular Parameterization of Orthonormal Wavelet Filter Banks in Power Quality: A Method for Detecting Disturbances in the Voltage Waveforms

A state-space description for perfect-reconstruction wavelet FIR filter banks with special orthonormal basis functions

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