The Leiden/Dwingeloo Survey (LDS) offers new possibilities for analysi
ng Galactic HI with an outstanding sensitivity. The survey data have b
een carefully corrected for side-lobe contamination of the antenna and
for baseline effects. At present this survey is the most reliable dat
abase for analysis of faint, large-scale HI features. Together with th
e longstanding dispute whether the Galactic halo is hot or cold, this
motivated our investigations which are described in this paper. We hav
e improved the stray-radiation correction procedure significantly by i
ncluding reflections from the ground. HI-gas with an unusually large v
elocity dispersion (LVD) is revealed when these enhanced LDS Data are
massively integrated. Gaussian decomposition of more than 250 integrat
ed profiles for b > 20 degrees yields a complete set of 8500 HI-compon
ents representing the north galactic sky on 10 degrees x 10 degrees fi
elds. LVD components were found in every direction of the sky having a
characteristic dispersion of greater than or equal to 60 kms(-1) and
column densities of greater than or equal to 1.4.10(19) cm(-2). We do
not detect the HI-gas which is associated with the ''Lockman-Layer'' (
sigma similar to 35 kms(-1)) and conclude therefore that his analysis
was biased by instrumental effects. Correction of this bias in the Hel
l Survey data set makes the ''Lockman-Layer'' disappear and does show
the LVD component reported here. The LVD gas exhibits minimal sub-rota
tion and extends several kpc into the Galactic halo. Its scale height
is calculated to be greater than or equal to 2 kpc and a non-uniform d
istribution with respect to the distance rom the Galactic center is fo
und. The distribution of the LVD gas is presented. Theoretical spectra
are calculated from a simple model of the LVD halo and compared to th
e real data. The LVD gas seems to be a very sensitive indicator of vio
lent disk phenomena. Two possible Galactic chimneys and a peculiar loc
al velocity field are identified, Implications for the modelling of a
Galactic halo with various components are discussed. Strict applicatio
n of the principle, that the turbulent gas pressure plus magnetic and
cosmic ray pressure equals the gravitational pull, leads to a stable h
alo, extending up to a = 3.3 kpc.