The optimal wavelet basis function selection in feature extraction of motor imagery electroencephalogram based on wavelet packet transformation

L Cheng, D Li, X Li, S Yu - IEEE Access, 2019 - ieeexplore.ieee.org
To solve the problem of optimal wavelet basis function selection in feature extraction of
motor imagery electroencephalogram (MI-EEG) by wavelet packet transformation (WPT) …

Wavelet packet approximation

N Khanna, V Kumar, SK Kaushik - Integral Transforms and Special …, 2016 - Taylor & Francis
Wavelet packet expansions have been the centre of many research problems in the last few
years. We begin by furnishing few results related to approximation of functions of L 2 (R) …

Some properties of fractional Boas transforms of wavelets

N Khanna, A Zothansanga, SK Kaushik… - Journal of …, 2021 - Wiley Online Library
In this paper, we introduce fractional Boas transforms and discuss some of their properties.
We also introduce the notion of wavelets associated with fractional Boas transforms and give …

Some remarks on Boas transforms of wavelets

N Khanna, SK Kaushik, AM Jarrah - Integral Transforms and …, 2020 - Taylor & Francis
In this paper, we study Boas transforms of wavelets and obtain a sufficient condition under
which the Boas transform of a wavelet is the derivative of another wavelet. Also, a …

Wavelet packets: Uniform approximation and numerical integration

N Khanna, SK Kaushik, AM Jarrah - International Journal of …, 2020 - World Scientific
In this paper, it is proved that under some conditions, wavelet packet basis of L 2 (ℝ) can be
used as a tool for the uniform approximation of an M-times (M> 0) continuously differentiable …

[HTML][HTML] Some results on vanishing moments of wavelet packets, convolution and cross-correlation of wavelets

AM Jarrah, N Khanna - Arab Journal of Mathematical Sciences, 2019 - Elsevier
A formula for calculating moments for wavelet packets is derived and a sufficient condition
for moments of wavelet packets to be vanishing is obtained. Also, the convolution and cross …

Vanishing moments of wavelet packets and wavelets associated with Riesz projectors

N Khanna, V Kumar, SK Kaushik - … International Conference on …, 2017 - ieeexplore.ieee.org
In the present paper, we show that, under some conditions wavelet packet basis of L 2 (ℝ)
can be used as a tool for the uniform approximation of a function f∈(CM∩ L 2)(ℝ), M> 0 …

An improved one point quadrature formula

N Khanna, JH Arredondo, L Kathuria… - … Functional Analysis and …, 2021 - Taylor & Francis
Sweldens and Piessens gave the crucial relationship between the first and the second
scaling moment in order to derive an effective one-point quadrature formula to reproduce …

Vanishing Moments of Wavelets on p-adic Fields

N Athira, MC Lineesh - Complex Analysis and Operator Theory, 2024 - Springer
A study on the vanishing moments of wavelets on p-adic fields is carried out in this paper.
The p-vanishing moments and discrete p-vanishing moments are defined on a p-adic field …

[PDF][PDF] Some results on approximations using Boas transform of wavelets

L Kathuria, S Goel, N Khanna… - Jordan Journal of …, 2023 - journals.yu.edu.jo
The present paper aims to approximate functions belonging to the class L2 (R), using Boas
transform of wavelets. We exhibit that Hölder continuity of a function plays a crucial role in …