Exploring the behavior feature of complex trajectories of ships with Fourier transform processing: a case from fishing vessels

Q Zhu, Y Xi, S Hu, Y Chen - Frontiers in Marine Science, 2023 - frontiersin.org
The significant uncertainty and complexity of vessels at sea poses challenges for regulatory
bodies in the fishing industry. This paper presents a method for identifying fishing vessel …

Offset quaternion linear canonical transform: Properties, uncertainty inequalities and application

M Bahri, NI Tahir, N Bachtiar, M Zakir - Journal of the Franklin Institute, 2025 - Elsevier
In this present work, we first establish some basic properties of the offset quaternion linear
canonical transform such as shifting and modulation, which are missed in the existing …

Linear canonical Hankel domain based Stockwell transform and associated Heisenberg's uncertainty principle

MY Bhat, AH Dar - The Journal of Analysis, 2023 - Springer
Linear canonical Hankel domain based Stockwell transform (LCHST) is the generalization of
Hankel-Stockwell transform. In this paper, we propose the definition of LCHST and then …

Quaternion offset linear canonical transform in one-dimensional setting

MY Bhat, AH Dar - The Journal of Analysis, 2023 - Springer
In this paper, we introduce quaternion offset linear canonical transform of integrable and
square integrable functions. Moreover, we show that the proposed transform satisfies all the …

Adaptive Sampling for Signals Associated with the Special Affine Fourier Transform

Y Jiang, Y Li, J Yang - Numerical Functional Analysis and …, 2024 - Taylor & Francis
Adaptive sampling is inspired by the working principle of biological neurons, which converts
the amplitude information of the received signal into a time sequence through a time …

Uncertainty principles for the biquaternion offset linear canonical transform

WB Gao - Journal of Pseudo-Differential Operators and …, 2024 - Springer
In this paper, the offset linear canonical transform associated with biquaternion is defined,
which is called the biquaternion offset linear canonical transforms (BiQOLCT). Then, the …

Discrete Quaternion Quadratic Phase Fourier Transform

AH Dar - arXiv preprint arXiv:2402.11311, 2024 - arxiv.org
A novel addition to the family of integral transforms, the quadratic phase Fourier transform
(QPFT) embodies a variety of signal processing tools, including the Fourier transform (FT) …

Octonion Special Affine Fourier Transform: Pitt's Inequality and the Uncertainty Principles

MY Bhat, AH Dar, M Zayed, S Araci - Fractal and Fractional, 2023 - mdpi.com
The special affine Fourier transform (SAFT) is an extended version of the classical Fourier
transform and incorporates various signal processing tools which include the Fourier …

Generalized uncertainty principles for offset quaternion linear canonical transform

M Bahri - The Journal of Analysis, 2024 - Springer
In this work, we begin by providing a new proof of the uncertainty principle related to the
quaternion linear canonical transform. We then generalize the uncertainty principles for the …

Design of Unmarked AI Recognition Algorithm for Athletes' Traditional Sports Actions Based on Attention Mechanism

G Wei, L Yi - International Journal of High Speed Electronics and …, 2025 - World Scientific
In order to accurately and quickly understand the characteristics and skills of athletes'
traditional sports actions, an unmarked AI recognition algorithm for athletes' traditional sports …