Construction of MRA and non-MRA wavelet sets on Cantor dyadic group

Mahapatra, Prasadini; Singh, Divya

doi:10.1016/j.bulsci.2021.102945

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2024

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Cited by 2 publications

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“…It proves its effectiveness in several key areas of TS data analysis. These areas include signal denoising [18,19,20], feature extraction [21,22,23], and PR [24,25]. This versatility makes WEC a valuable tool across diverse disciplines.…”

Section: Introductionmentioning

confidence: 99%

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Wavelet Set Theory Enhanced Wavelet Entropy Clustering for Pattern Recognition

Saxena,

Mahapatra,

Rizvi

2024

Preprint

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Section: Introductionmentioning

confidence: 99%

“…They often lead to suboptimal performance of wavelet analysis for complex signals. This limitation in DDA methods motivates the exploration of Wavelet Set Theory (WST) [50,24,25,51,52] as a solution.…”

Section: Introductionmentioning

confidence: 99%

Wavelet Set Theory Enhanced Wavelet Entropy Clustering for Pattern Recognition

Saxena,

Mahapatra,

Rizvi

2024

Preprint

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Wavelet sets, scaling sets and generalized scaling sets on Vilenkin group

Mahapatra,

Singh,

Swain

2023

Asian-European J. Math.

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Wavelet sets provide a range of wavelets that can be analyzed with ease. The constructions of wavelet sets and scaling sets in different settings are studied in several papers in the literature. Wavelet sets provide a good source of examples and counterexamples in wavelet theory. In this paper we have studied properties of (multi)wavelet sets and associated wavelets for Vilenkin group. Further, results related to scaling sets and generalized scaling sets are given along with some characterizations.

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Construction of MRA and non-MRA wavelet sets on Cantor dyadic group

Cited by 2 publications

References 6 publications

Wavelet Set Theory Enhanced Wavelet Entropy Clustering for Pattern Recognition

Wavelet Set Theory Enhanced Wavelet Entropy Clustering for Pattern Recognition

Wavelet sets, scaling sets and generalized scaling sets on Vilenkin group

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