Publications related to Gaussian noise

Robust distributed detection over adaptive diffusion networks

Diffusion adaptation techniques based on the least-mean-squares criterion have been proposed for distributed detection of a signal in Gaussian-distributed noise, forgoing the need for a fusion center. However, least-mean-squares solutions are generally non ...

IEEE2014

Quantifying the Effects of Modeling Simplifications for Structural Identification of Bridges

Ian Smith, Clotaire Michel, James-Alexandre Goulet, Marie Texier

Several long-span, prestressed, segmental box girder bridges were built in the early 1980s and many of them are affected by long-term residual deformations. Although some models have been proposed to describe their structural behavior, several uncertaintie ...

American Society of Civil Engineers2014

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Michaël Unser, Julien René Pierre Fageot, Emrah Bostan

We study the statistics of wavelet coefficients of non-Gaussian images, focusing mainly on the behaviour at coarse scales. We assume that an image can be whitened by a fractional Laplacian operator, which is consistent with an

∥ω∥ ^{ -\gamma }

spectral ...

IEEE2014

From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

We explore the relationship between polar and RM codes and we describe a coding scheme which improves upon the performance of the standard polar code at practical block lengths. Our starting point is the experimental observation that RM codes have a smalle ...

Ieee2014

From Polar to Reed-Muller Codes: A Technique to Improve the Finite-Length Performance

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

We explore the relationship between polar and RM codes and we describe a coding scheme which improves upon the performance of the standard polar code at practical block lengths. Our starting point is the experimental observation that RM codes have a smalle ...

Ieee-Inst Electrical Electronics Engineers Inc2014

From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

We explore the relationship between polar and RM codes and we describe a coding scheme which improves upon the performance of the standard polar code at practical block lengths. Our starting point is the experimental observation that RM codes have a smalle ...

2014

3D Poisson Microscopy Deconvolution With Hessian Schatten-Norm Regularization

Michaël Unser, Stamatios Lefkimmiatis

Inverse problems with shot noise arise in many modern biomedical imaging applications. The main challenge is to obtain an estimate of the underlying specimen from measurements corrupted by Poisson noise. In this work, we propose an efficient framework for ...

IEEE2013

An optimal error nonlinearity for robust adaptation against impulsive noise

Ali H. Sayed, Ali Zoubir

The least-mean squares algorithm is non-robust against impulsive noise. Incorporating an error nonlinearity into the update equation is one useful way to mitigate the effects of impulsive noise. This work develops an adaptive structure that parametrically ...

IEEE2013

A Projected Gradient Algorithm for Image Restoration Under Hessian Matrix-Norm Regularization

Michaël Unser, Stamatios Lefkimmiatis

We have recently introduced a class of non-quadratic Hessian-based regularizers as a higher-order extension of the total variation (TV) functional. These regularizers retain some of the most favorable properties of TV while they can effectively deal with t ...

IEEE2012

Stochastic Models and Techniques for Sparse Signals

Michaël Unser, Azin Amini

Real-world data such as multimedia, biomedical, and telecommunication signals are formed of specific structures. However, these structures only determine some general properties of the data while the unknown or unpredictable parts are assumed to be random. ...

IEICE2012

Gaussian noise

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Robust distributed detection over adaptive diffusion networks

Quantifying the Effects of Modeling Simplifications for Structural Identification of Bridges

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance

From Polar to Reed-Muller Codes: A Technique to Improve the Finite-Length Performance

From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance

3D Poisson Microscopy Deconvolution With Hessian Schatten-Norm Regularization

An optimal error nonlinearity for robust adaptation against impulsive noise

A Projected Gradient Algorithm for Image Restoration Under Hessian Matrix-Norm Regularization

Stochastic Models and Techniques for Sparse Signals

Stochastic Models and Techniques for Sparse Signals

An optimal error nonlinearity for robust adaptation against impulsive noise

Quantifying the Effects of Modeling Simplifications for Structural Identification of Bridges

From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance

From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance

From Polar to Reed-Muller Codes: A Technique to Improve the Finite-Length Performance

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

3D Poisson Microscopy Deconvolution With Hessian Schatten-Norm Regularization

Robust distributed detection over adaptive diffusion networks

A Projected Gradient Algorithm for Image Restoration Under Hessian Matrix-Norm Regularization