STATISTICS FOR COMPLEX-VARIABLES AND SIGNALS .2. SIGNALS

Citation
Po. Amblard et al., STATISTICS FOR COMPLEX-VARIABLES AND SIGNALS .2. SIGNALS, Signal processing, 53(1), 1996, pp. 15-25
Citations number
27
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
ISSN journal
01651684
Volume
53
Issue
1
Year of publication
1996
Pages
15 - 25
Database
ISI
SICI code
0165-1684(1996)53:1<15:SFCAS.>2.0.ZU;2-C
Abstract
In this paper, we study the higher-order statistics of complex station ary signals. In a first part, we define precisely the multicorrelation s and multispectra of complex signals. Different properties of these t ools are put in evidence for certain classes of signals, such as analy tic, band limited or circular signals. We show for example that band l imited complex signals are circular up to a certain order. We then giv e the definition for the practical case of discrete time and discrete frequency processes. Finally, some extension of linear filtering relat ions are provided.