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We propose an efficient construction of wavelet frames in any number of dimensions that are divergence-free. Our approach is based on applying the Leray projector, which is scale-invariant, to a standard wavelet frame. We prove that the projected wavelets ...
We show how a beamforming technique for analytical spatial filtering, called Flexibeam, can be applied to mobile phone mast broadcasting so as to result in concentrations of power where most devices are. To that end, Flexibeam is interpreted as transmissio ...
Among the various logical components of a phasor measurement unit (PMU), the synchrophasor estimation (SE) algorithm definitely represents the core one. Its choice is driven by two main factors: its accuracy in steady state and dynamic conditions as well a ...
The Institution of Engineering and Technology - IET2015
Magnetic resonance spectroscopic imaging (MRSI) is a rapidly developing medical imaging modality, capable of conferring both spatial and spectral information content, and has become a powerful clinical tool. The ability to non-invasively observe spatial ma ...
The Learning With Error problem (LWE) is becoming more and more used in cryptography, for instance, in the design of some fully homomorphic encryption schemes. It is thus of primordial importance to find the best algorithms that might solve this problem so ...
In this paper, we review recent advances in optical microinstruments based on distributed Bragg reflectors (DBR) focusing mainly on two application areas: spectrometry and profilometry. For spectrometry applications, we consider state-of-the-art architectu ...
In this article, an alternative method is proposed to compute a fast Fourier transform (FFT) on Altera FPGAs. This method is using the Altera FFT intellectual property (IP) core, but it is more efficient than the direct use of the Altera FFT IP core, in th ...
The 140 GHz Collective Thomson Scattering (CTS) diagnostics installed on the Frascati Tokamak Upgrade (FTU) has been upgraded. The new system now is ready both to detect the thermal CTS radiation (for the first time with the probe frequency below the 1st h ...
Higher order and spectral methods have been used with success for elliptic and parabolic initial and boundary value problems with smooth solutions. On the other hand, higher order methods have been applied to hyperbolic problems with less success, as highe ...
Society for Industrial and Applied Mathematics2015
The Poisson summation formula (PSF), which relates the sampling of an analog signal with the periodization of its Fourier transform, plays a key role in the classical sampling theory. In its current forms, the formula is only applicable to a limited class ...