Publication

Signal Modelling using piecewise linear chaotic generators

Thomas Schimming
1998
Conference Papers

Abstract

In this paper the modeling of a signal by a chaotic generator with respect to a specified signal statistic will be considered. To accomplish that, the considered class of n-dimensional piecewise linear Markov generators will first be analyzed analytically, yielding an algebraic expression for the statistical quantity in question. Based on this analytical result an optimal set of parameters minimizing the modeling error with respect to the considered statistical quantity will be calculated.

Official source

https://infoscience.epfl.ch/entities/publication/70989bb5-490c-452c-b6dd-3752a4c8a584

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Thomas Schimming
1998
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/70989bb5-490c-452c-b6dd-3752a4c8a584

About this result

Related concepts (32)

Statistical theory

The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic principles stated for these different approaches. Within a given approach, statistical theory gives ways of comparing statistical procedures; it can find a best possible procedure within a given context for given statistical problems, or can provide guidance on the choice between alternative procedures.

Statistical parameter

In statistics, as opposed to its general use in mathematics, a parameter is any measured quantity of a statistical population that summarises or describes an aspect of the population, such as a mean or a standard deviation. If a population exactly follows a known and defined distribution, for example the normal distribution, then a small set of parameters can be measured which completely describes the population, and can be considered to define a probability distribution for the purposes of extracting samples from this population.

Statistic

A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis. The average (or mean) of sample values is a statistic. The term statistic is used both for the function and for the value of the function on a given sample. When a statistic is being used for a specific purpose, it may be referred to by a name indicating its purpose.

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Signal Modelling using piecewise linear chaotic generators

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