Publications related to Fundamental relations between the LMS algorithm and the DFT

Optical apparatus for dual beam heterodyne Fourier domain optical coherence tomography, has detector that synchronizes phase shift such that sample signal or sample interface moving at arbitrary velocity is detected by phase change

Theo Lasser, Rainer Leitgeb, Martin Villiger, Adrian Bachmann, Roland Michaely

NOVELTY - The apparatus has an optical unit for splitting a source field to produce and combine reference and biomedical sample light fields. An optical and electronic unit records a spectral interference pattern between combined light fields. A controlled ...

2008

Logarithmic transformation technique for exact signal recovery in frequency-domain optical-coherence tomography - art. no. 662714

Michaël Unser

We address the problem of exact signal recovery in frequency-domain optical-coherence tomography (FDOCT). The standard technique for tomogram reconstruction is the inverse Fourier transform. However, the inverse Fourier transform is known to yield autocorr ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2007

Logarithmic Transformation Technique for Exact Signal Recovery in Frequency-Domain Optical-Coherence Tomography

Michaël Unser, Rainer Leitgeb

We address the problem of exact signal recovery in frequency-domain optical-coherence tomography (FDOCT). The standard technique for tomogram reconstruction is the inverse Fourier transform. However, the inverse Fourier transform is known to yield autocorr ...

SPIE2007

Fast spin +-2 spherical harmonics transforms and application in cosmology

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

A fast and exact algorithm is developed for the spin +-2 spherical harmonics transforms on equi-angular pixelizations on the sphere. It is based on the Driscoll and Healy fast scalar spherical harmonics transform. The theoretical exactness of the transform ...

2007

Spline-Based Image-to-Volume Registration for Three-Dimensional Electron Microscopy

Michaël Unser, Philippe Thévenaz

This paper presents an algorithm based on a continuous framework for a posteriori angular and translational assignment in three-dimensional electron microscopy (3DEM) of single particles. Our algorithm can be used advantageously to refine the assignment of ...

Elsevier2005

Sampling in Practice: Is the Best Reconstruction Space Bandlimited?

Michaël Unser, Dimitri Nestor Alice Van De Ville, Sathish Ramani

Shannon's sampling theory and its variants provide effective solutions to the problem of reconstructing a signal from its samples in some “shift-invariant” space, which may or may not be bandlimited. In this paper, we present some further justification for ...

IEEE2005

Sampling innovations

Pina Marziliano

Sampling theory has prospered extensively in the last century. The elegant mathematics and the vast number of applications are the reasons for its popularity. The applications involved in this thesis are in signal processing and communications and call out ...

EPFL2002

Quantitative Fourier Analysis of Approximation Techniques: Part I—Interpolators and Projectors

Michaël Unser, Thierry Blu

We present a general Fourier-based method that provides an accurate prediction of the approximation error as a function of the sampling step T. Our formalism applies to an extended class of convolution-based signal approximation techniques, which includes ...

IEEE1999

Computing m DFT's over GF(q) with one DFT over GF(q^m)

Martin Vetterli

Over the field of complex numbers, it is well-known that if the input is real then it is possible to compute 2 real DFT's with one complex DFT. We extend the result to finite fields and show how to compute m DFT's over GF(q) with one DFT over GF(qm) ...

1993

Fast Fourier transforms: A tutorial review and a state of the art

Martin Vetterli

The publication of the Cooley-Tukey fast Fourier transform (FIT) algorithm in 1965 has opened a new area in digital signal processing by reducing the order of complexity of some crucial computational tasks like Fourier transform and convolution from

N^2

...

1990

Fundamental relations between the LMS algorithm and the DFT

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Optical apparatus for dual beam heterodyne Fourier domain optical coherence tomography, has detector that synchronizes phase shift such that sample signal or sample interface moving at arbitrary velocity is detected by phase change

Logarithmic transformation technique for exact signal recovery in frequency-domain optical-coherence tomography - art. no. 662714

Logarithmic Transformation Technique for Exact Signal Recovery in Frequency-Domain Optical-Coherence Tomography

Fast spin +-2 spherical harmonics transforms and application in cosmology

Spline-Based Image-to-Volume Registration for Three-Dimensional Electron Microscopy

Sampling in Practice: Is the Best Reconstruction Space Bandlimited?

Sampling innovations

Quantitative Fourier Analysis of Approximation Techniques: Part I—Interpolators and Projectors

Computing m DFT's over GF(q) with one DFT over GF(q^m)

Fast Fourier transforms: A tutorial review and a state of the art

Optical apparatus for dual beam heterodyne Fourier domain optical coherence tomography, has detector that synchronizes phase shift such that sample signal or sample interface moving at arbitrary velocity is detected by phase change

Logarithmic transformation technique for exact signal recovery in frequency-domain optical-coherence tomography - art. no. 662714

Sampling innovations

Logarithmic Transformation Technique for Exact Signal Recovery in Frequency-Domain Optical-Coherence Tomography

Computing m DFT's over GF(q) with one DFT over GF(q^m)

Fast spin +-2 spherical harmonics transforms and application in cosmology

Spline-Based Image-to-Volume Registration for Three-Dimensional Electron Microscopy

Sampling in Practice: Is the Best Reconstruction Space Bandlimited?

Quantitative Fourier Analysis of Approximation Techniques: Part I—Interpolators and Projectors

Fast Fourier transforms: A tutorial review and a state of the art