3 papers
math.RA2026
On the rank of quaternion Hankel matrices
Philippe Flores, Julien Flamant, Nicolas Le Bihan
This paper discusses the left and right ranks of quaternion matrices with Hankel structure. While they are in general different for arbitrary quaternion matrices, we show that the…
eess.SP2019
Asymptotic regime for impropriety tests of complex random vectors
Florent Chatelain, Nicolas Le Bihan, Jonathan H. Manton
Impropriety testing for complex-valued vector has been considered lately due to potential applications ranging from digital communications to complex media imaging. This paper prov…
math.ST2017
Riemannian Gaussian distributions on the space of positive-definite quaternion matrices
Salem Said, Nicolas Le Bihan, Jonathan H. Manton
Recently, Riemannian Gaussian distributions were defined on spaces of positive-definite real and complex matrices. The present paper extends this definition to the space of positiv…