Publications related to Basefield transforms with the convolution property

Extension of ultrasound Fourier slice Imaging theory to sectorial acquisition

Jean-Philippe Thiran, Rafael Eduardo Carrillo Rangel, Adrien Georges Jean Besson, Olivier Bernard

Ultrasound image reconstruction from the echoes received by an ultrasound probe after the transmission of diverging waves is an active area of research because of its capacity to insonify at ultra-high frame rate with large regions of interest using small ...

2015

Lower bounds for Pythagoras numbers of function fields

David Maximilian Grimm

We show that the transcendence degree of a real function field over an arbitrary real base field is a strict lower bound for its Pythagoras number and a weak lower bound for all its higher Pythagoras numbers. ...

European Mathematical Soc2015

Digital acoustics: processing wave fields in space and time using DSP tools

Martin Vetterli, Mihailo Kolundzija, Francisco Pereira Correia Pinto

Systems with hundreds of microphones for acoustic field acquisition, or hundreds of loudspeakers for rendering, have been proposed and built. To analyze, design, and apply such systems requires a framework that allows us to leverage the vast set of tools a ...

2014

An enhanced interpolated-modulated sliding DFT for high reporting rate PMUs

Mario Paolone, Paolo Romano

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 ...

2014

An Enhanced Interpolated-Modulated Sliding DFT for High Reporting Rate PMUs

Mario Paolone, Paolo Romano

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 ...

Ieee2014

First-principles core structures of < c+a > edge and screw dislocations in Mg

William Curtin, Maryam Ghazisaeidi

The core structures of < c + a > edge and screw dislocations in Mg are computed using density functional theory (DFT). Both types dissociate into two 1/2 < c + a > partials on the second-order pyramidal planes. These DFT results are then allowed to relax w ...

Elsevier2014

An efficient deterministic test for Kloosterman sum zeros

Robert Granger

We propose a simple deterministic test for deciding whether or not a non-zero element

a \in \mathbb{F}_{2^n}

or

\mathbb{F}_{3^n}

is a zero of the corresponding Kloosterman sum over these fields, and analyse its complexity. The test seems to have been o ...

American Mathematical Society2014

Optical Sinc-shaped Nyquist Pulses from Rectangular Frequency Comb Synthesis for High Spectral Efficiency

Camille Sophie Brès

We present a method to produce optical sinc-shaped Nyquist pulses with virtual zero roll-off factor based on the synthesis of phase-locked, rectangular-spectrum frequency combs. Tunability and reconfigurability are shown with

Ieee2014

Fast continuous Fourier and Haar transforms of rectilinear polygons from very-large-scale integration layouts

Paul Hurley, Robin Scheibler, Amina Chebira

We propose two new fast algorithms for the computation of the continuous Fourier series and the continuous Haar transform of rectilinear polygons such as those of mask layouts in optical lithography. These algorithms outperform their discrete counterparts ...

2013

Method and system for computing Fourier series coefficients for mask layouts using FFT

Paul Hurley, Robin Scheibler, Krzysztof Kryszczuk

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 ...

United States Patent and Trademark Office2013

Basefield transforms with the convolution property

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Extension of ultrasound Fourier slice Imaging theory to sectorial acquisition

Lower bounds for Pythagoras numbers of function fields

Digital acoustics: processing wave fields in space and time using DSP tools

An enhanced interpolated-modulated sliding DFT for high reporting rate PMUs

An Enhanced Interpolated-Modulated Sliding DFT for High Reporting Rate PMUs

First-principles core structures of < c+a > edge and screw dislocations in Mg

An efficient deterministic test for Kloosterman sum zeros

Optical Sinc-shaped Nyquist Pulses from Rectangular Frequency Comb Synthesis for High Spectral Efficiency

Fast continuous Fourier and Haar transforms of rectilinear polygons from very-large-scale integration layouts

Method and system for computing Fourier series coefficients for mask layouts using FFT

Lower bounds for Pythagoras numbers of function fields

Extension of ultrasound Fourier slice Imaging theory to sectorial acquisition

Digital acoustics: processing wave fields in space and time using DSP tools

An enhanced interpolated-modulated sliding DFT for high reporting rate PMUs

An Enhanced Interpolated-Modulated Sliding DFT for High Reporting Rate PMUs

Optical Sinc-shaped Nyquist Pulses from Rectangular Frequency Comb Synthesis for High Spectral Efficiency

First-principles core structures of < c+a > edge and screw dislocations in Mg

Fast continuous Fourier and Haar transforms of rectilinear polygons from very-large-scale integration layouts

An efficient deterministic test for Kloosterman sum zeros

Method and system for computing Fourier series coefficients for mask layouts using FFT