Fisher information for a complex Gaussian random variable: beamforming applications for wave propagation in a random medium

2005 ◽  
Vol 53 (11) ◽  
pp. 4236-4248 ◽  
Author(s):  
S.L. Collier
2018 ◽  
Vol 7 (3) ◽  
pp. 312-315
Author(s):  
Peter Larsson ◽  
Lars K. Rasmussen ◽  
Mikael Skoglund

1988 ◽  
Vol 37 (10) ◽  
pp. 1678
Author(s):  
PAN CHUAN-HONG ◽  
QIU XIAO-MING

Author(s):  
SOLESNE BOURGUIN ◽  
JEAN-CHRISTOPHE BRETON

We investigate generalizations of the Cramér theorem. This theorem asserts that a Gaussian random variable can be decomposed into the sum of independent random variables if and only if they are Gaussian. We prove asymptotic counterparts of such decomposition results for multiple Wiener integrals and prove that similar results are true for the (asymptotic) decomposition of the semicircular distribution into free multiple Wigner integrals.


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