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A necessary and suucient condition is given to reduce a non-stationary random process fZ(t) : t 2 T Rg to stationarity via a bijective diieren-tiable time deformation so that its correlation function r(t; t 0) depends only on the diierence (t 0)?(t) through a stationary correlation function R: r(t; t 0) = R(((t 0) ? (t)).

Recently, a model for non-stationary random eld Z = fZ(x) : x 2 R n ; n 2g has been developed. This consists of reducing Z to stationarity or isotropy via a bijective bi-continuous deformation of the index space. We give the form of this deformation under smoothness assumptions.

- Olivier Perrin
- 1998

We are interested in the functional convergence in distribution of the process of quadratic variations taken along a regular partition for a large class of Gaussian processes indexed by 0; 1], including the standard Wiener process as a particular case. This result is applied to the estimation of a time deformation that makes a non-stationary Gaussian… (More)

- Olivier Perrin, Peran Terrier, Quentin Ladetto, B. Merminod, Dr Y. Schutz
- Medical and Biological Engineering and Computing
- 2000

Activity monitors based on accelerometry are used to predict the speed and energy cost of walking at 0% slope, but not at other inclinations. Parallel measurements of body accelerations and altitude variation were studied to determine whether walking speed prediction could be improved. Fourteen subjects walked twice along a 1.3km circuit with substantial… (More)

For modelling non-stationary spatial random fields Z = {Z(x) : x ∈ Rn, n ≥ 2} a recent method has been proposed to deform bijectively the index space so that the spatial dispersion D(x, y) = var[Z(x) − Z(y)], (x, y) ∈ Rn × Rn, depends only on the Euclidean distance in the deformed space through a stationary and isotropic variogram γ. We prove uniqueness of… (More)

- Laurent Dussopt, Manouan Aka Constant Niamien, +6 authors Christophe Delaveaud
- 2012 IEEE 17th International Workshop on Computer…
- 2012

Energy-efficiency is of paramount importance in modern battery-powered wireless communication devices in order to provide longer talk-time and autonomy. At the radio level, the power amplifier is a major contributor to the power consumption, especially with recent non-constant envelope modulations requiring stringent linearity. Another energy efficiency… (More)

- Olivier Perrin
- 1997

The research community over the past several years has put a great effort into studying the potential impacts of a changing climate. But the issues that face the world today encompass greater change than just that of climate. For instance, there are changes due to population dynamics (such as migration), economics, and the way that land is used. Water… (More)

- Serge Cohen, Xavier Guyon, Olivier Perrin, Monique Pontier
- 2017

In this paper almost sure convergence and asymptotic normality of generalized quadratic variation are studied. The main result in this paper extend classical results from Baxter and Gladyshev so that they can be applied to fractional Gaussian processes. An application to the estimation of the true axes of a fractional Brownian sheet is also obtained. Résumé… (More)

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