Introducing the windowed Fourier frames technique for obtaining the approximate solution of the coupled system of differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-018-0240-5
Abstract: This paper is devoted to introduce an efficient solver using a combination of the symbol of the operator and the windowed Fourier frames (WFFs) of the coupled system of second order ordinary differential equations. The… read more here.
Keywords: system; windowed fourier; differential equations; fourier frames ... See more keywords
Uncertainty principle for the two-sided quaternion windowed Fourier transform
Sign Up to like & getrecommendations! Published in 2019 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2019.1572138
Abstract: ABSTRACT In this paper, we study the quaternion windowed Fourier transform (QWFT) and prove the Local uncertainty principle, the Logarithmic uncertainty principle and Amrein Berthier for the QWFT, the radar quaternion ambiguity function and the… read more here.
Keywords: quaternion; uncertainty principle; windowed fourier; quaternion windowed ... See more keywords
Windowed Fourier ridges for demodulation of carrier fringe patterns with nonlinearity: a theoretical analysis.
Sign Up to like & getrecommendations! Published in 2018 at "Applied optics"
DOI: 10.1364/ao.57.006198
Abstract: Accurately extracting phase or phase derivative is the most important requirement in optical metrology. However, in practice, there are many error sources, among which nonlinear distortion in fringe patterns is often encountered. Several techniques have… read more here.
Keywords: error; ridges demodulation; fourier ridges; windowed fourier ... See more keywords
Wavelength-dependent orientation of the principal axes of photonic crystal fibers measured by windowed Fourier-transform spectral interferometry.
Sign Up to like & getrecommendations! Published in 2020 at "Optics express"
DOI: 10.1364/oe.381769
Abstract: We present a novel polarization alignment technique based on windowed Fourier-transform (WFT) spectral interferometry to determine the wavelength-dependent orientation of the principal polarization axes of photonic crystal fibers (PCFs). To test the technique, a commercially… read more here.
Keywords: wavelength dependent; spectral interferometry; fourier transform; windowed fourier ... See more keywords