Publications related to Super Resolution Phase Retrieval for Sparse Signals

Bit Precision Analysis for Compressed Sensing

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

This paper studies the stability of some reconstruction algorithms for compressed sensing in terms of the bit precision. Considering the fact that practical digital systems deal with discretized signals, we motivate the importance of the total number of ac ...

2009

Dequantizing Compressed Sensing with non-Gaussian Constraints

Laurent Jacques

The theory of Compressed Sensing (CS) is based on reconstructing sparse signals from random linear measurements. As measurement of continuous signals by digital devices always involves some form of quantization, in practice devices based on CS encoding mus ...

2009

Conditions for recovery of sparse signals correlated by local transforms

Pascal Frossard, Ivana Tosic

This paper addresses the problem of correct recovery of multiple sparse correlated signals using distributed thresholding. We consider the scenario where multiple sensors capture the same event, but observe different signals that are correlated by local tr ...

2009

Distributed Sensing of Signals Linked by Sparse Filtering

Martin Vetterli, Olivier Roy, Yue Lu, Ali Hormati

We consider the task of recovering correlated vectors at a central decoder based on fixed linear measurements obtained by distributed sensors. A general formulation of the problem is proposed, under both a universal and an almost sure reconstruction requir ...

2009

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

Fast Computation of Polyharmonic B-Spline Autocorrelation Filters

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu, Yann Barbotin

A fast computational method is given for the Fourier transform of the polyharmonic B-spline autocorrelation sequence in d dimensions. The approximation error is exponentially decaying with the number of terms taken into account. The algorithm improves spee ...

Institute of Electrical and Electronics Engineers2008

Estimating interdependences in networks of weakly coupled deterministic systems

Oscar De Feo, Cristian Carmeli

The extraction of information from measured data about the interactions taking place in a network of systems is a key topic in modern applied sciences. This topic has been traditionally addressed considering bivariate time series, providing methods that ar ...

2008

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Michaël Unser, Cédric René Jean Vonesch

We present a fast variational deconvolution algorithm that minimizes a quadratic data term subject to a regularization on the

\ell ^{ 1 }

-norm of the wavelet coefficients of the solution. Previously available methods have essentially consisted in alte ...

IEEE2008

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

Theoretical analysis of complex-conjugate-ambiguity suppression in frequency-domain optical-coherence tomography

Michaël Unser, Rainer Leitgeb, Roland Michaely

New phase-shifting techniques have recently been proposed to suppress the complex-conjugate ambiguity in frequency-domain optical-coherence tomography. A phase shift is introduced, in an elegant fashion, by incorporating a small beam offset at the scanning ...

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

Super Resolution Phase Retrieval for Sparse Signals

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Bit Precision Analysis for Compressed Sensing

Dequantizing Compressed Sensing with non-Gaussian Constraints

Conditions for recovery of sparse signals correlated by local transforms

Distributed Sensing of Signals Linked by Sparse Filtering

Enhancement of extended depth of field by digital focusing

Fast Computation of Polyharmonic B-Spline Autocorrelation Filters

Estimating interdependences in networks of weakly coupled deterministic systems

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

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

Theoretical analysis of complex-conjugate-ambiguity suppression in frequency-domain optical-coherence tomography

Bit Precision Analysis for Compressed Sensing

Conditions for recovery of sparse signals correlated by local transforms

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

Dequantizing Compressed Sensing with non-Gaussian Constraints

Enhancement of extended depth of field by digital focusing

Distributed Sensing of Signals Linked by Sparse Filtering

Estimating interdependences in networks of weakly coupled deterministic systems

Fast Computation of Polyharmonic B-Spline Autocorrelation Filters

A Fast Thresholded Landweber Algorithm for Wavelet-Regularized Multidimensional Deconvolution

Theoretical analysis of complex-conjugate-ambiguity suppression in frequency-domain optical-coherence tomography