Dunkl–Stockwell transform and its applications to the time–frequency analysis
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Pseudo-differential Operators and Applications"
DOI: 10.1007/s11868-021-00378-y
Abstract: In this paper, we extend the one-dimensional Stockwell transform discussed in Stockwell et al. (IEEE Trans Signal Process 44:998–1001, 1996) to the Dunkl theory seeting. We obtain the expected properties of the extended Stockwell transform… read more here.
Keywords: applications time; stockwell; time frequency; transform applications ... See more keywords
Tauberian theorems for the Stockwell transform of Lizorkin distributions
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DOI: 10.1080/00036811.2018.1506104
Abstract: ABSTRACT We prove the continuity of the Stockwell transform and the corresponding synthesis operator on the spaces of highly localized test functions over and , respectively. Using the obtained continuity results, we define and study… read more here.
Keywords: lizorkin distributions; tauberian theorems; theorems stockwell; transform lizorkin ... See more keywords
Estimation of Islanding Events in Utility Distribution Grid With Renewable Energy Using Current Variations and Stockwell Transform
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DOI: 10.1109/access.2021.3078315
Abstract: This research work has designed an algorithm to identify islanding events using the current signals in a distribution grid interfaced with renewable energy (RE) sources situated in remote areas. A median-based islanding recognition factor (MIRF)… read more here.
Keywords: using current; distribution grid; distribution; stockwell transform ... See more keywords
An Approach for Power Quantification Based on Stockwell Transform and CPC Power Theory
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DOI: 10.1109/tim.2022.3159291
Abstract: This article presents a power calculation method for non-sinusoidal signals with non-stationary characteristics based on currents’ physical components (CPC) power theory and the discrete Stockwell transform (DST). The DST independently localizes the real and imaginary… read more here.
Keywords: proposed method; power theory; stockwell transform; power ... See more keywords
Linear Canonical Stockwell Transform: Theory and Applications
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DOI: 10.1109/tsp.2022.3152402
Abstract: The Stockwell transform (ST), which is a reversible method of time-frequency spectral representation, is an extension of the ideas of the wavelet transform (WT) and short-time Fourier transform (STFT). And yet, it represents the signal… read more here.
Keywords: time; linear canonical; transform; frequency ... See more keywords
A New Discretization Scheme for the Non-Isotropic Stockwell Transform
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DOI: 10.3390/math11081839
Abstract: To avoid the undesired angular expansion of the sampling grid in the discrete non-isotropic Stockwell transform, in this communication we propose a scale-dependent discretization scheme that controls both the radial and angular expansions in unison.… read more here.
Keywords: discretization; non isotropic; discretization scheme; isotropic stockwell ... See more keywords