On Circularity
Sur la circularité
Résumé
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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