Publications related to Hilbert transform

Enhancement of extended depth of field by digital focusing

Theo Lasser, Rainer Leitgeb, Martin Villiger, Cédric Blatter

With the use of a Bessel-like illumination beam produced by an axicon lens an extended depth of field can be achieved. The resulting illumination pattern exhibits a strong central lobe extending over 300um along the optical axis without diffraction. Here w ...

2008

Tomographie en cohérence optique dans le domaine de Fourier appliquée aux tissus humains

Roland Michaely

Fourier Domain Optical Coherence Tomography FDOCT is a recent imaging technique based on the principle of Low Coherence Interferometry. In FDOCT cross-sectional images of diffusing objects are synthesised from a measure of backscattered light. The main adv ...

EPFL2008

Exact reconstruction with directional wavelets on the sphere

Pierre Vandergheynst, Yves Wiaux, Jason Douglas McEwen

A new formalism is derived for the analysis and exact reconstruction of band-limited signals on the sphere with directional wavelets. It represents an evolution of a previously developed wavelet formalism developed by Antoine & Vandergheynst and Wiaux et a ...

2008

Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

Michaël Unser, Kunal Narayan Chaudhury

We propose a novel method of constructing exact Hilbert transform (HT) pairs of wavelet bases using fractional B-splines and state necessary and sufficient conditions for generating such wavelet pairs. In particular, we demonstrate how HT pairs of biorthog ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Construction of Hilbert Transform Pairs of Wavelet Bases and Optimal Time-Frequency Localization

Michaël Unser, Kunal Narayan Chaudhury

We propose a novel method of constructing exact Hilbert transform (HT) pairs of wavelet bases using fractional B-splines and state necessary and sufficient conditions for generating such wavelet pairs. In particular, we demonstrate how HT pairs of biorthog ...

IEEE2008

Autoregressive Modelling of Hilbert Envelopes for Wide-band Audio Coding

Petr Motlicek, Hynek Hermansky, Sriram Ganapathy

Frequency Domain Linear Prediction (FDLP) represents the technique for approximating temporal envelopes of a signal using autoregressive models. In this paper, we propose a wide-band audio coding system exploiting FDLP. Specifically, FDLP is applied on cri ...

2008

Autoregressive Modelling of Hilbert Envelopes for Wide-band Audio Coding

Petr Motlicek, Hynek Hermansky, Sriram Ganapathy

Frequency Domain Linear Prediction (FDLP) represents the technique for approximating temporal envelopes of a signal using autoregressive models. In this paper, we propose a wide-band audio coding system exploiting FDLP. Specifically, FDLP is applied on cri ...

IDIAP2008

Sound pressure estimation at an electroacoustic transducer's voicing face by way of all-electrical sensing

Hervé Lissek, Florian Sandoz

When it comes to designing active control disposals, sound pressure sensing is usually required. In the framework of active control of acoustic impedance, this work aims at conceiving a digital estimator that processes voltage and current measurement to co ...

2008

Some results for long-range exclusion processes

Thomas Mountford

We examine the long-range exclusion process introduced by Spitzer and studied by Liggett and answer some of the open questions raised by Liggett. In particular, we show the existence of equilibria corresponding to bounded dual harmonic functions and that t ...

2008

The Monogenic Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Katarina Balac

We introduce a family of real and complex wavelet bases of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) that are directly linked to the Laplace and Riesz operators. The crucial point is that the family is closed with respect to the Riesz transform which maps a re ...

EURASIP2008

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Enhancement of extended depth of field by digital focusing

Tomographie en cohérence optique dans le domaine de Fourier appliquée aux tissus humains

Exact reconstruction with directional wavelets on the sphere

Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

Construction of Hilbert Transform Pairs of Wavelet Bases and Optimal Time-Frequency Localization

Autoregressive Modelling of Hilbert Envelopes for Wide-band Audio Coding

Autoregressive Modelling of Hilbert Envelopes for Wide-band Audio Coding

Sound pressure estimation at an electroacoustic transducer's voicing face by way of all-electrical sensing

Some results for long-range exclusion processes

The Monogenic Riesz-Laplace Wavelet Transform

Tomographie en cohérence optique dans le domaine de Fourier appliquée aux tissus humains

Enhancement of extended depth of field by digital focusing

Exact reconstruction with directional wavelets on the sphere

Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

Construction of Hilbert Transform Pairs of Wavelet Bases and Optimal Time-Frequency Localization

Autoregressive Modelling of Hilbert Envelopes for Wide-band Audio Coding

Autoregressive Modelling of Hilbert Envelopes for Wide-band Audio Coding

Sound pressure estimation at an electroacoustic transducer's voicing face by way of all-electrical sensing

Some results for long-range exclusion processes

The Monogenic Riesz-Laplace Wavelet Transform