Application of multi-dimensional wavelet transform to fluid mechanics
Theoretical and Applied Mechanics Letters, 2020 : This paper first reviews the application research works of wavelet transform on the fluid mechanics. Then the theories of continuous wavelet transform and multi-dimensional orthogonal (discrete) wavelet transform, including wavelet multiresolution ...
Akira Rinoshika, Hiroka Rinoshika
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On alternative wavelet reconstruction formula: a case study of approximate wavelets [PDF]
Royal Society Open Science, 2014 The application of the continuous wavelet transform to the study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies owing to the admissibility condition.
Elena A. Lebedeva, Eugene B. Postnikov
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The Continuous Wavelet Transform for a q-Bessel Type Operator
International Journal of Analysis and Applications, 2022 In this paper, we consider a differential operator on - By accomplishing harmonic analysis tools with respect to the operator we study some definitions and properties of q-Bessel continuous wavelet transform.
C.P. Pandey, Jyoti Saikia
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An application of continuous wavelet transform and wavelet coherence for residential power consumer load profiles analysis [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 Load profiles of residential consumers are very diverse. This paper proposes the usage of a continuous wavelet transform and wavelet coherence to perform analysis of residential power consumer load profiles.
Piotr Kapler
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Wavelet packet analysis for rotor bar breakage in an inverter induction motor
Electrical engineering & Electromechanics, 2023 Introduction. In various industrial processes, squirrel cage induction motors are widely employed. These motors can be used in harsh situations, such as non-ventilated spaces, due to their high strength and longevity.
O. Z. I. Abu Ibaid +5 more
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THE CONTINUOUS WAVELET TRANSFORM ON CONIC SECTIONS [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2008 We review the coherent state (or group-theoretical) construction of the continuous wavelet transform (CWT) on the two-sphere. Next, we describe the construction of a CWT on the upper sheet of a two-sheeted hyperboloid, emphasizing the similarities between the two cases.
Antoine, J.-P. +2 more
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Time-frequency analysis of HD 174936 and HD 174966 using the synchrosqueezed wavelet transform
Frontiers in Astronomy and Space Sciences, 2022 δ Scuti stars are intermediate-mass pulsators located in the classical Cepheid instability strip with spectral types ranging from A to F. In the last years, some authors found an amplitude and frequency modulation in some of these stars.
A. Ramón-Ballesta +2 more
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Fringe pattern analysis using a one-dimensional modified Morlet continuous wavelet transform [PDF]
, 2008 This paper proposes the use of a modified Morlet wavelet in order to demodulate fringe patterns in conjunction with the one-dimensional continuous wavelet transform (1D-CWT). Our investigations demonstrate that the modified Morlet wavelet produces better
Gdeisat, Munther A. +11 more
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On continuous wavelet transforms of distributions
Applied Mathematics Letters, 2011 Fix a spherically symmetric wavelet \(\psi\) satisfying an admissibility condition and, as usual, for any \(b\in\mathbb R^n\) and \(a>0\), denote \(\psi^{a,b}(x) = a^{-n/2}\psi(\frac{x-b}{a})\). The continuous wavelet transform of a compactly supported distribution \(f\) associated to \(\psi\) is given by \((Tf)(a,b)= \langle f,\overline{\psi^{a,b ...
Ravshan Ashurov, Almaz Butaev
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Multi-stages helical gearbox fault detection using vibration signal and Morlet wavelet transform adapted by information entropy difference [PDF]
Although the wavelet analysis is a powerful tool and has been widely used for the vibration signal based gearbox fault diagnosis, there are some limitations that undermine its application.
Gu, Fengshou +4 more
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