  This paper investigates the behaviour of the spectrum of generally correlated
Gaussian random matrices whose columns are zero-mean independent vectors but
have different correlations, under the specific regime where the number of
their columns and that of their rows grow at infinity with the same pace. This
work is, in particular, motivated by applications from statistical signal
processing and wireless communications, where this kind of matrices naturally
arise. Following the approach proposed in [1], we prove that under some
specific conditions, the smallest singular value of generally correlated
Gaussian matrices is almost surely away from zero.
