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On Circularity

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
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01660497
Contributor : Bernard Picinbono <>
Submitted on : Thursday, December 14, 2017 - 8:55:42 AM
Last modification on : Wednesday, September 16, 2020 - 4:46:56 PM

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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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