Results 41 to 50 of about 1,340,600 (238)

A comparative study on properties and uncertainty principles of fractional Fourier transform and offset fractional Fourier transform

Results in Applied Mathematics
This work deals with the offset fractional Fourier transform (OFrFT), which is a more general version of the fractional Fourier transform (FrFT). We demonstrate the basic properties such as translation, modulation and parity.
Mawardi Bahri, Airien Nabilla B.A., Nasrullah Bachtiar, Muhammad Zakir   +3 more
doaj   +1 more source

Optical Image Encryption Using a Nonlinear Joint Transform Correlator and the Collins Diffraction Transform

Photonics, 2019
The Collins diffraction transform (CDT) describes the optical wave diffraction from the generic paraxial optical system. The CDT has as special cases the diffraction domains given by the Fourier, Fresnel and fractional Fourier transforms.
Juan M. Vilardy O., Ronal A. Perez, Cesar O. Torres M.   +2 more
doaj   +1 more source

Melanin's Role in Balancing Mechanical Strength and Reproductive Output in Environmentally Stressed Fungal Spores

Advanced Functional Materials, EarlyView.
Melanin content directly controls fungal spore mechanical properties, with pigmented spores achieving rupture forces two orders of magnitude higher than hyaline spores. Environmental stress drives this quantity‐quality tradeoff; stressed species invest energy in melanin‐reinforced, mechanically superior thick‐walled, super‐hydrophobic spores, while ...
Atul Agrawal, Steven E. Naleway
wiley   +1 more source

Two-Dimensional Quaternion Fractional Fourier Transform: Definition and Probabilistic Analysis

Fractal and Fractional
This article presents a detailed study of the two-dimensional quaternion fractional Fourier transform (2D QFRFT) and investigates its role in the probabilistic analysis of quaternion-valued signals.
Muhammad Adnan Samad, Zhuhuang Zhou, Yuanqing Xia, Saima Siddiqui, Mohra Zayed, Mohammad Younus Bhat   +5 more
doaj   +1 more source

An Integrated Oxygen‐Supplying Device and Predictive Multiphysics Model for Extended Ambient Transport of Insulin‐Producing Cells

Advanced Functional Materials, EarlyView.
Cell therapies typically rely on cold‐chain logistics and cryopreservation, limiting access and compromising cell quality. Here, a dual‐chamber device separates an oxygen‐supplying chamber from a hyaluronic acid cargo chamber, sustaining oxygen delivery for over 70 h and enabling ambient‐temperature shipment.
Daniel A. Domingo‐Lopez, Ruth Tarpey, Benjamin Brennan, Bryan D. Boyle, Amir M. Alsharabasy, Abhik Mallick, Gabriella Bellavia, Abhay Pandit, Garry P. Duffy, Ruth E. Levey   +9 more
wiley   +1 more source

The fractional Fourier transform and harmonic oscillation [PDF]

, 2002
The ath-order fractional Fourier transform is a generalization of the ordinary Fourier transform such that the zeroth-order fractional Fourier transform operation is equal to the identity operation and the first-order fractional Fourier transform is ...
Kutay, MA, Ozaktas, HM
core   +2 more sources

The research of object tracking filter fault diagnosis method based on reconstruction of feature vector in fractional Fourier transform domain

Advances in Mechanical Engineering, 2018
To carry out state identification and fault diagnosis of mechanical equipment, a new method is proposed for fault diagnosis of mechanical equipment based on the reconstruction of feature vector in the fractional Fourier transform domain.
Qing-Tang Chen, Yi-Jian Huang, Yi-Ran Song   +2 more
doaj   +1 more source

Fourier transforming a trapped Bose-Einstein condensate by waiting a quarter of the trap period: simulation and applications [PDF]

, 2006
We investigate the property of isotropic harmonic traps to Fourier transform a weakly interacting Bose–Einstein condensate (BEC) every quarter of a trap period.
Ohberg, Patrik; id_orcid, Ohberg, P., Courtial, J., Whyte, G., Whyte, Graeme, Courtial, Johannes   +5 more
core   +1 more source

Upcycling Keratin‐Based Textile Waste Into High‐Performance Hybrid Fibers Via Tuning the Interfacial Interactions

Advanced Functional Materials, EarlyView.
Keratin recovered from animal‐hair textile waste is fractionated and blended with cellulose to produce continuously spun hybrid fibers. Selecting the high‐molecular‐weight keratin fraction enables 30 wt.% keratin incorporation while maintaining high strength in dry and wet states.
Mian Zhai, Daniel Van Opdenbosch, Inge Schlapp‐Hackl, Teemu Välisalmi, Markus Linder, Michael Hummel, Wenwen Fang   +6 more
wiley   +1 more source

Uncertainty principles for coupled fractional Wigner–Ville distribution

Royal Society Open Science
The coupled fractional Wigner–Ville distribution is a more general version of the fractional Wigner–Ville distribution. Main properties including boundedness, Moyal’s formula and inversion formula are studied in detail for the transformation ...
Andi Tenri Ajeng Nur, Mawardi Bahri, Nasrullah Bachtiar, Amran Rahim   +3 more
doaj   +1 more source