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

An Improved Approach for the Calculation of the Transient Ground Resistance Matrix of Multiconductor Lines

The general integral expressions for the elements of the ground impedance matrix do not have an analytical inverse transform in the time domain. Therefore, the ground transient resistance of a multiconductor line is commonly evaluated in the time domain by ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Closed fringe demodulation using phase decomposition by Fourier basis functions

Pramod Rastogi, Rishikesh Dilip Kulkarni

We report a new technique for the demodulation of a closed fringe pattern by representing the phase as a weighted linear combination of a certain number of linearly independent Fourier basis functions in a given row/column at a time. A state space model is ...

2016

Simultaneous estimation of phase and its pth order derivatives

Pramod Rastogi, Rishikesh Dilip Kulkarni

One unaddressed challenge in optical metrology has been the measurement of higher order derivatives of rough specimens subjected to loading. In this paper, we investigate an approach that allows for the simultaneous estimation of the phase and its higher o ...

2016

Effective a posteriori Co-Phasing of Interferometric Fringe Data

Ferréol Arnaud Marie Soulez

We have recently shown that a posteriori co-phasing of multi-spectral interferograms was possible.(1) In this contribution, we extend our approach so that it can be applied to actual data as provided by AMBER(2) or MATISSE instruments. The main advantage o ...

SPIE2016

Learning-Based Compressive Subsampling

Volkan Cevher, Jonathan Mark Scarlett, Ilija Bogunovic, Yen-Huan Li, Luca Baldassarre, Baran Gözcü

The problem of recovering a structured signal

\mathbf{x} \in \mathbb{C}^p

from a set of dimensionality-reduced linear measurements

\mathbf{b} = \mathbf {A}\mathbf {x}

arises in a variety of applications, such as medical imaging, spectroscopy, Fourier o ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Divergence-Free Wavelet Frames

Michaël Unser, Emrah Bostan, John Paul Ward

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 ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Generalized Poisson Summation Formula for Tempered Distributions

Michaël Unser, Quy Ha Nguyen

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 ...

IEEE2015

Design of Steerable Wavelets to Detect Multifold Junctions

Michaël Unser, Zsuzsanna Püspöki, Cédric René Jean Vonesch, Virginie Sophie Uhlmann

We propose a framework for the detection of junctions in images. Although the detection of edges and key points is a well examined and described area, the multiscale detection of junction centers, especially for odd orders, poses a challenge in pattern ana ...

IEEE2015

Implementing super-efficient FFTs in Altera FPGAs

Pierre-André Farine, Cyril Botteron, Jérôme Leclère

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 ...

EE Times Programmable Logic Designline2015

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

Maurine Malak Karam Awadallah

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

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

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An Improved Approach for the Calculation of the Transient Ground Resistance Matrix of Multiconductor Lines

Closed fringe demodulation using phase decomposition by Fourier basis functions

Simultaneous estimation of phase and its pth order derivatives

Effective a posteriori Co-Phasing of Interferometric Fringe Data

Learning-Based Compressive Subsampling

Divergence-Free Wavelet Frames

Generalized Poisson Summation Formula for Tempered Distributions

Design of Steerable Wavelets to Detect Multifold Junctions

Implementing super-efficient FFTs in Altera FPGAs

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

Divergence-Free Wavelet Frames

Simultaneous estimation of phase and its pth order derivatives

Generalized Poisson Summation Formula for Tempered Distributions

Learning-Based Compressive Subsampling

Closed fringe demodulation using phase decomposition by Fourier basis functions

An Improved Approach for the Calculation of the Transient Ground Resistance Matrix of Multiconductor Lines

Effective a posteriori Co-Phasing of Interferometric Fringe Data

Design of Steerable Wavelets to Detect Multifold Junctions

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

Implementing super-efficient FFTs in Altera FPGAs