Publications related to Fractional Fourier transform

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Nikola Besic, Urs Martin Germann, Daniele Nerini

In this paper we present a non-stationary stochastic generator for radar rainfall fields based on the short-space Fourier transform (SSFT). The statistical properties of rainfall fields often exhibit significant spatial heterogeneity due to variability in ...

Copernicus GmbH2017

Large Sieve Inequalities for Algebraic Trace Functions

Philippe Michel, Ping Xi

The large sieve inequalities for algebraic trace functions are considered in this article. A fundamental iterative relation is established by classical Fourier analysis, and l-adic Fourier analysis and multiplicative convolutions of sheaves are also requir ...

Oxford Univ Press2017

DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS

Paul Hurley, Matthieu Martin Jean-André Simeoni, Nezihe Merve Gürel

The invention is notably directed to a method for determining positions {pi}i=1,..., N of transducers {Ai}i=1,..., N of an apparatus. The transducers are assumed to be configured for receiving wave signals from and/or transmitting wave signals to one or mo ...

2017

FRIDA: FRI-Based DOA Estimation For Arbitrary Array Layouts

Martin Vetterli, Eric Bezzam, Ivan Dokmanic, Robin Scheibler, Hanjie Pan

In this paper we present FRIDA—an algorithm for estimating directions of arrival of multiple wideband sound sources. FRIDA combines multi-band information coherently and achieves state- of-the-art resolution at extremely low signal-to-noise ratios. It work ...

IEEE2017

Discreteness of interior transmission eigenvalues revisited

Hoài-Minh Nguyên, Quoc Hung Nguyen

This paper is devoted to the discreteness of the transmission eigenvalue problems. It is known that this problem is not self-adjoint and a priori estimates are non-standard and do not hold in general. Two approaches are used. The first one is based on the ...

Springer Verlag2017

Optimal Representations of Sparse Stochastic Processes with Applications in Image Processing

Pedram Pad

We establish in the world of stochastic processes a theoretical relation between sparsity and wavelets. The underlying principle is to treat stochastic processes as generalized functions, which facilitates the study of their properties in a transform domai ...

EPFL2017

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

An experimentalist's guide to the matrix element in angle resolved photoemission

Simon Karl Moser

Angle resolved photoemission spectroscopy (ARPES) is commonly known as a powerful probe of the one-electron removal spectral function in ordered solid state. With increasing efficiency of light sources and spectrometers, experiments over a wide range of em ...

Elsevier Science Bv2017

Fourier transform spectroscopy in the vibrational fingerprint region with a birefringent interferometer

Christoph Peter Hauri

We introduce a birefringent interferometer for Fourier transform (FT) spectroscopy in the mid-infrared, covering the vibrational fingerprint region (5-10 µm, 1000-2000 cm-1), which is crucial for molecular identification. Our interferometer empl ...

Optical Society of America2017

An Adaptive Sublinear-Time Block Sparse Fourier Transform

Volkan Cevher, Mikhail Kapralov, Jonathan Mark Scarlett, Amir Zandieh

The problem of approximately computing the

k

dominant Fourier coefficients of a vector

X

quickly, and using few samples in time domain, is known as the Sparse Fourier Transform (sparse FFT) problem. A long line of work on the sparse FFT has resulted in ...

2017

Fractional Fourier transform

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A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Large Sieve Inequalities for Algebraic Trace Functions

DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS

FRIDA: FRI-Based DOA Estimation For Arbitrary Array Layouts

Discreteness of interior transmission eigenvalues revisited

Optimal Representations of Sparse Stochastic Processes with Applications in Image Processing

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

An experimentalist's guide to the matrix element in angle resolved photoemission

Fourier transform spectroscopy in the vibrational fingerprint region with a birefringent interferometer

An Adaptive Sublinear-Time Block Sparse Fourier Transform

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Optimal Representations of Sparse Stochastic Processes with Applications in Image Processing

Fourier transform spectroscopy in the vibrational fingerprint region with a birefringent interferometer

Discreteness of interior transmission eigenvalues revisited

Large Sieve Inequalities for Algebraic Trace Functions

DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS

An Adaptive Sublinear-Time Block Sparse Fourier Transform

FRIDA: FRI-Based DOA Estimation For Arbitrary Array Layouts

An experimentalist's guide to the matrix element in angle resolved photoemission

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