  Fake path injection is an emerging paradigm for inducing privacy over
wireless networks. In this paper, fake paths are injected by the transmitter
into a SIMO multipath communication channel to preserve her physical location
from an eavesdropper. A novel statistical privacy metric is defined as the
ratio between the largest (resp. smallest) eigenvalues of Bob's (resp. Eve's)
Cram\'er-Rao lower bound on the SIMO multipath channel parameters to assess the
privacy enhancements. Leveraging the spectral properties of generalized
Vandermonde matrices, bounds on the privacy margin of the proposed scheme are
derived. Specifically, it is shown that the privacy margin increases
quadratically in the inverse of the separation between the true and the fake
paths under Eve's perspective. Numerical simulations further showcase the
approach's benefit.
