Publications related to Time-invariant system

Quantum-Noise Limited Distance Resolution of Optical Range Imaging Techniques

The most common optical distance imaging methods (triangulation, interferometry and time-of-flight ranging) can all be described in a unified way as linear shift-invariant systems in which the determination of distance corresponds to the measurement of a s ...

2008

The response of cortical neurons to in vivo-like input current: theory and experiment

Michele Giugliano, Walter Senn

The study of several aspects of the collective dynamics of interacting neurons can be highly simplified if one assumes that the statistics of the synaptic input is the same for a large population of similarly behaving neurons (mean field approach). In part ...

2008

Learning sparse generative models of audiovisual signals

Pierre Vandergheynst, Gianluca Monaci

This paper presents a novel framework to learn sparse represen- tations for audiovisual signals. An audiovisual signal is modeled as a sparse sum of audiovisual kernels. The kernels are bimodal functions made of synchronous audio and video components that ...

2008

The Marr Wavelet Pyramid

Michaël Unser, Dimitri Nestor Alice Van De Ville

We introduce a new semi-orthogonal complex wavelet basis of

L _{ 2 }

(\mathbb{R} ^{ 2 }

). The basis functions are associated to the complex gradient-Laplace operator, which plays a central role in image processing. We define analytically a single- ...

IEEE2008

The response of cortical neurons to in vivo-like input current: theory and experiment: II. Time-varying and spatially distributed inputs

Michele Giugliano, Walter Senn

The response of a population of neurons to time-varying synaptic inputs can show a rich phenomenology, hardly predictable from the dynamical properties of the membrane's inherent time constants. For example, a network of neurons in a state of spontaneous a ...

Springer-Verlag2008

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Michaël Unser, Dimitri Nestor Alice Van De Ville

A distinction is usually made between wavelet bases and wavelet frames. The former are associated with a one-to-one representation of signals, which is somewhat constrained but most efficient computationally. The latter are over-complete, but they offer ad ...

Institute of Electrical and Electronics Engineers2008

Identifiability and informative experiments in open and closed-loop identification

Ljubisa Miskovic

This chapter takes a new look at the concept of identifiability and of informative experiments for linear time-invariant systems, both in open-loop and in closed-loop identification. Some readers might think that everything has been said and written about ...

Springer-Verlag2007

A Numerical Sufficiency Test for the Asymptotic Stability of Linear Time-Varying Systems

Dominique Bonvin, Philippe Müllhaupt, Davide Buccieri

A numerical sufficiency test for the asymptotic stability of linear time-varying Hurwitz systems is proposed. The algorithmic procedure constructs a bounding tube in which the state is guaranteed to stay. The continuous-time system is evaluated at discrete ...

2007

Learning Multi-Modal Dictionaries

Pierre Vandergheynst, Rémi Gribonval, Gianluca Monaci, Philippe Jost

Real-world phenomena involve complex interactions between multiple signal modalities. As a consequence, humans are used to integrate at each instant perceptions from all their senses in order to enrich their understanding of the surrounding world. This par ...

2007

WSPM: Wavelet-Based Statistical Parametric Mapping

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

Recently, we have introduced an integrated framework that combines wavelet-based processing with statistical testing in the spatial domain. In this paper, we propose two important enhancements of the framework. First, we revisit the underlying paradigm; i. ...

Elsevier2007

Time-invariant system

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Quantum-Noise Limited Distance Resolution of Optical Range Imaging Techniques

The response of cortical neurons to in vivo-like input current: theory and experiment

Learning sparse generative models of audiovisual signals

The Marr Wavelet Pyramid

The response of cortical neurons to in vivo-like input current: theory and experiment: II. Time-varying and spatially distributed inputs

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Identifiability and informative experiments in open and closed-loop identification

A Numerical Sufficiency Test for the Asymptotic Stability of Linear Time-Varying Systems

Learning Multi-Modal Dictionaries

WSPM: Wavelet-Based Statistical Parametric Mapping

The Marr Wavelet Pyramid

The response of cortical neurons to in vivo-like input current: theory and experiment

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Learning Multi-Modal Dictionaries

Learning sparse generative models of audiovisual signals

The response of cortical neurons to in vivo-like input current: theory and experiment: II. Time-varying and spatially distributed inputs

Identifiability and informative experiments in open and closed-loop identification

A Numerical Sufficiency Test for the Asymptotic Stability of Linear Time-Varying Systems

Quantum-Noise Limited Distance Resolution of Optical Range Imaging Techniques

WSPM: Wavelet-Based Statistical Parametric Mapping