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Oversampled filter banks (OFBs) provide an overcomplete representation of their input signal. This paper describes how OFBs can be considered as error-correcting codes acting on real or complex sequences, very much like classical binary convolutional codes act on binary sequences. The structured redundancy introduced by OFBs in subband signals can be used… (More)

This paper is about parameter estimation for models described by a continuous-time state equation from discrete-time measurements. Guaranteed solutions to this problem are proposed in probabilistic and bounded-error contexts, based on Müller's theorems and interval analysis. In a probabilistic context where parameter estimation boils down to parameter… (More)

This paper is about bounded-error state estimation for models described by a continuous-time state equation from discrete-time measurements. A guaranteed solution to this problem is proposed, based on Müller's theorems and interval analysis. This technique allows, at any time instant, the characterization of the set of all state vectors that are consistent… (More)

SUMMARY This paper presents some tools based on interval analysis for guaranteed nonlinear parameter and state estimation in a bounded-error context. These tools make it possible to compute outer (and sometimes inner) approximations of the set of all parameter or state vectors that are consistent with the model structure, measurements and noise bounds.

- Éric Walter, Michel Kieffer
- 2006

Knowledge-based models are ubiquitous in pure and applied sciences. They often involve unknown parameters to be estimated from experimental data. This is usually much more difficult than for black-box models, only intended to mimic a given input-output behavior. The output of knowledge-based models is almost always nonlinear in their parameters, so that… (More)

- N. Changuel, B. Sayadi, M. Kieffer
- 2009

In broadcast and multicast systems, Video programs are transmitted over a constant bit rate channel. Apart from bandwidth constraints, the control of each encoder involved in the statistical multiplexing has to satisfy several other constraints: minimum quality, fairness, and smoothness constraints. This paper proposes an improved control scheme for… (More)

Due to its high compression efficiency, the H.264 video coder is very sensitive to impairments due to transmission over noisy channels. Most error resilience/concealment techniques provided in the H.264 standard were dealing with packet losses. In wireless environments, the proportion of corrupted packets (and thus considered as lost) may become very high.… (More)

This paper is about state estimation for continuous-time nonlinear models, in a context where all uncertain variables can be bounded. More precisely, cooperative models are considered, i.e., models that satisfy some constraints on the signs of the entries of the Jacobian of their dynamic equation. In this context, interval observers and a guaranteed… (More)