On Circularity

Bernard Picinbono 1
1 Division Signaux - L2S
L2S - Laboratoire des signaux et systèmes : 1289
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
Complete list of metadatas

Cited literature [5 references]  Display  Hide  Download

https://hal-centralesupelec.archives-ouvertes.fr/hal-01660497
Contributor : Bernard Picinbono <>
Submitted on : Thursday, December 14, 2017 - 8:55:42 AM
Last modification on : Monday, May 6, 2019 - 4:09:22 PM

Identifiers

  • HAL Id : hal-01660497, version 1

Citation

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

Share

Metrics

Record views

160

Files downloads

482