Publications related to Coding Along Hermite Polynomials for Gaussian Noise Channels

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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

Rank-order equalization

Mohammad Amin Shokrollahi, Harm Cronie, Klaas Lammert Hofstra

For digital data transmitted using a vector signaling encoding, a rank-order equalizer cancels various channel noise such as inter-symbol interference. Further, rank-order units may be cascaded to achieve improved equalization over successive sample vector ...

2014

A coordinate system for Gaussian Networks

Emmanuel Abbé

This paper studies network information theory problems where the external noise is Gaussian distributed. In particular, the Gaussian broadcast channel with coherent fading and the Gaussian interference channel are investigated. It is shown that in these pr ...

Institute of Electrical and Electronics Engineers2012

Ergodic Interference Alignment

Michael Christoph Gastpar

This paper develops a new communication strategy, ergodic interference alignment, for the K-user interference channel with time-varying fading. At any particular time, each receiver will see a superposition of the transmitted signals plus noise. The standa ...

Institute of Electrical and Electronics Engineers2012

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 for Sparse and Piecewise-Smooth Signals

Michaël Unser, Pouya Dehghani Tafti

We introduce an extended family of continuous-domain stochastic models for sparse, piecewise-smooth signals. These are specified as solutions of stochastic differential equations, or, equivalently, in terms of a suitable innovation model; the latter is ana ...

IEEE2011

IMPROVING MICROPHONE ARRAY SPEECH RECOGNITION WITH COCHLEAR IMPLANT-LIKE SPECTRALLY REDUCED SPEECH

Philip Neil Garner, Mohammadjavad Taghizadeh

Cochlear implant-like spectrally reduced speech (SRS) has previously been shown to afford robustness to additive noise. In this paper, it is evaluated in the context of microphone array based automatic speech recognition (ASR). It is compared to and combin ...

Idiap2011

Approximate Capacity of a Class of Gaussian Interference-Relay Networks

Christina Fragouli, Suhas Diggavi

In this paper, we study a Gaussian relay-interference network, in which relay (helper) nodes are to facilitate competing information flows between different source-destination pairs. We focus on two-stage relay-interference networks where there are weak cr ...

Institute of Electrical and Electronics Engineers2011

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Michaël Unser, Julien René Pierre Fageot, Emrah Bostan

∥ω∥ ^{ -\gamma }

spectral ...

IEEE2014

Coding Along Hermite Polynomials for Gaussian Noise Channels

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Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Rank-order equalization

An optimal error nonlinearity for robust adaptation against impulsive noise

Optimal Interpolation Laws for Stable AR(1) Processes

A coordinate system for Gaussian Networks

Ergodic Interference Alignment

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

Stochastic Models for Sparse and Piecewise-Smooth Signals

IMPROVING MICROPHONE ARRAY SPEECH RECOGNITION WITH COCHLEAR IMPLANT-LIKE SPECTRALLY REDUCED SPEECH

Approximate Capacity of a Class of Gaussian Interference-Relay Networks

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Rank-order equalization

A coordinate system for Gaussian Networks

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

Ergodic Interference Alignment

An optimal error nonlinearity for robust adaptation against impulsive noise

Optimal Interpolation Laws for Stable AR(1) Processes

Stochastic Models for Sparse and Piecewise-Smooth Signals

IMPROVING MICROPHONE ARRAY SPEECH RECOGNITION WITH COCHLEAR IMPLANT-LIKE SPECTRALLY REDUCED SPEECH

Approximate Capacity of a Class of Gaussian Interference-Relay Networks