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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 ...
The estimation of a random vector with independent components passed through a linear transform followed by a componentwise (possibly nonlinear) output map arises in a range of applications. Approximate message passing (AMP) methods, based on Gaussian appr ...
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 ...
We consider the question of the correlation of Fourier coefficients of modular forms with functions of algebraic origin. We establish the absence of correlation in considerable generality (with a power saving of Burgess type) and a corresponding equidistri ...
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 field of application of Phasor Measurement Units (PMUs) might be limited by the PMU measurements reporting latencies and achievable reporting rates, particularly with respect to power system protection applications that typically require very low laten ...
The field of application of Phasor Measurement Units (PMUs) might be limited by the PMU measurements reporting latencies and achievable reporting rates, particularly with respect to power system protection applications that typically require very low laten ...
We present a nonlinear eigenvalue solver enabling the calculation of bound solutions of the Schrodinger equation in a system with contacts. We discuss how the imposition of contacts leads to a nonlinear eigenvalue problem and discuss the numerics for a one ...
We report the experimental study of noise in electrochemical biosensors as related to voltage and concentration. A comparison with experiments is performed for H2O2 and Ferrocyanide with bare sensors and with sensors functionalized wi ...
A method and system for computing Fourier coefficients for a Fourier representation of a mask transmission function for a lithography mask. The method includes: sampling a polygon of a mask pattern of the lithography mask to obtain an indicator function wh ...