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Concept

Discrete Fourier transform over a ring

Related publications (27)

On Short Sums Of Trace Functions

Philippe Michel, Chandra Sekhar Raju

We consider sums of oscillating functions on intervals in cyclic groups of size close to the square root of the size of the group. We first prove non-trivial estimates for intervals of length slightly larger than this square root (bridging the "Polya-Vinog ...

Annales Inst Fourier2017

Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization

Ulugbek Kamilov

Generalized linear models, where a random vector x is observed through a noisy, possibly nonlinear, function of a linear transform z = A x, arise in a range of applications in nonlinear filtering and regression. Approximate message passing (AMP) methods, b ...

IEEE2017

Dictionary Learning Based on Sparse Distribution Tomography

Michaël Unser, Pedram Pad

We propose a new statistical dictionary learning algorithm for sparse signals that is based on an α-stable innovation model. The parameters of the underlying model—that is, the atoms of the dictionary, the sparsity index α and the dispersion of the transfo ...

P. Pad2017

Study on the cross-correlation of GNSS signals and typical approximations

Pierre-André Farine, Cyril Botteron, Jérôme Leclère

In global navigation satellite system (GNSS) receivers, the first signal processing stage is the acquisition, which consists in detecting the received GNSS signals and determining the associated code delay and Doppler frequency by means of correlations wit ...

Springer Verlag2017

Fixed Points of Generalized Approximate Message Passing with Arbitrary Matrices

Volkan Cevher

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 ...

2016

Fast 3D reconstruction method for differential phase contrast X-ray CT

Michaël Unser, Michael Thompson McCann, Masih Nilchian

We present a fast algorithm for fully 3D regularized X-ray tomography reconstruction for both traditional and differential phase contrast measurements. In many applications, it is critical to reduce the X-ray dose while producing high-quality reconstructio ...

2016

Beyond Interferometers Based on Silicon-Air Bragg Reflectors: Toward On-Chip Optical Microinstruments-A Review

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 ...

Ieee-Inst Electrical Electronics Engineers Inc2015