On Circularity

Bernard Picinbono 1
1 Division Signaux
L2S - Laboratoire des signaux et systèmes
Abstract : Circularity is an assumption that was originally introduced for the definition of the probability distribution function of complex normal vectors. However, this concept can be extended in various ways for nonnormal vectors. The first purpose of this paper is to introduce and compare some possible definitions of circularity. From these definitions, it is also possible to introduce the concept of circular signals and to study whether or not the spectral representation of stationary signals introduces circular components. Therefore, the relationships between circularity and stationarity are analyzed in detail. Finally, the theory of linear mean square estimation for complex signals exhibits some connections with circularity, and it is shown that without this assumption, the estimation theory must be reformulated Reference
Type de document :
Article dans une revue
IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 1994, 42 (12), pp.3473-3482
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Soumis le : jeudi 14 décembre 2017 - 08:55:42
Dernière modification le : jeudi 11 janvier 2018 - 06:26:18

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  • HAL Id : hal-01660497, version 1

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Bernard Picinbono. On Circularity. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 1994, 42 (12), pp.3473-3482. 〈hal-01660497〉

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