background and aims. polymerization efficacy affects the properties and performance of composite resin restorations. the purpose of this study was to evaluate the effectiveness of polymerization of two micro-hybrid, two nano-hybrid and one nano-filled ormocer-based composite resins, cured by two different light-curing systems, using fourier transformation infrared (ft-ir) spectroscopy and vicke...

Resampling by interpolation is the traditional method to process interferograms from non-uniformly sampled Fourier transform spectrometers. The non-uniform fast (NUFFT) an alternative approach that has been mostly overlooked. With aid of experiments on a high-resolution interferometer with variety optical sources, these two methods are compared. It found NUFFT comparable in spectral profile sha...

We give a detailed study of the discrete Fourier transform (DFT) of r-even arithmetic functions, which form a subspace of the space of r-periodic arithmetic functions. We consider the DFT of sequences of r-even functions, their mean values and Dirichlet series. Our results generalize properties of the Ramanujan sum. We show that some known properties of r-even functions and of the Ramanujan sum...

This paper is concerned with a synthesis study of the fast Fourier transform (FFT), the short time Fourier transform (STFT and the Wigner distribution (WD) in analysing the phonocardiogram signal (PCG) or heart cardiac sounds.     The FFT (Fast Fourier Transform) can provide a basic understanding of the frequency contents of the heart sounds. The STFT is obtained by calculating the Fourier tran...

Quantum Fourier transform (QFT) is an important part of many quantum algorithms. However, there are few reports on fractional (QFRFT). The main reason that the definitions (FRFT) diverse, while some do not include unitarity, which leads to studies pointing out no QFRFT. In this paper, we first present a reformulation weighted (WFRFT) and prove its thereby proposing (QWFRFT). proposal QWFRFT pro...