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) …

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 …

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 …

An interplay between parameter (pq)-Boas transform and linear canonical transform

N Khanna, SK Kaushik, SV Djordjević - Journal of Pseudo-Differential …, 2021 - Springer
In this paper, we define and study parameter (p, q)-Boas transform of a signal in linear
canonical transform domain. Also, we define the complex signals associated with parameter …

Fourier–Boas‐Like Wavelets and Their Vanishing Moments

L Kathuria, S Goel, N Khanna - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we propose Fourier–Boas‐Like wavelets and obtain sufficient conditions for
their higher vanishing moments. A sufficient condition is given to obtain moment formula for …

A Short Note on Generalized Variation Diminishing Wavelets

AM Jarrah, N Khanna, A Zothansanga… - Iranian Journal of …, 2024 - Springer
Pathak introduced variation diminishing wavelets and wavelets of specified changes in sign
by utilising Schoenberg's notion of variation-diminishing integral operators of convolution …

A note on some new generalized wavelets

A Zothansanga, N Khanna, SK Kaushik… - Journal of …, 2022 - Wiley Online Library
In this paper, we define new real wavelets based on the Hartley kernel and Boas transforms.
These wavelets have possible application in analyzing both the symmetries of an …

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 …

[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 …

On generalized analytic wavelets

A Zothansanga, N Khanna, SK Kaushik… - Iranian Journal of …, 2023 - Springer
Gabor proposed the concept of analytic signal, ie, a complex signal related to a given real
signal using the Hilbert transform. In this paper, we generalize the approach of constructing …