  We study statistical properties of synchrotron polarization emitted from
media with magnetohydrodynamic (MHD) turbulence. We use both synthetic and MHD
turbulence simulation data for our studies. We obtain the spatial spectrum and
its derivative with respect to wavelength of synchrotron polarization arising
from both synchrotron radiation and Faraday rotation fluctuations. In
particular, we investigate how the spectrum changes with frequency. We find
that our simulations agree with the theoretical predication in Lazarian \&
Pogosyan (2016). We conclude that the spectrum of synchrotron polarization and
it derivative can be very informative tools to get detailed information about
the statistical properties of MHD turbulence from radio observations of diffuse
synchrotron polarization. Especially, they are useful to recover the statistics
of turbulent magnetic field as well as turbulent density of electrons. We also
simulate interferometric observations that incorporate the effects of noise and
finite telescope beam size, and demonstrate how we recover statistics of
underlying MHD turbulence.
