  It is well-known that magnetohydrodynamic (MHD) turbulence is ubiquitous in
astrophysical environments. The correct understanding of the fundamental
properties of MHD turbulence is a prerequisite for revealing many key
astrophysical processes. The development of observation-based measurement
techniques has significantly promoted MHD turbulence theory and its
implications in astrophysics. After describing the modern understanding of MHD
turbulence based on theoretical analysis and direct numerical simulations, we
review recent developments related to synchrotron fluctuation techniques.
Specifically, we comment on the validation of synchrotron fluctuation
techniques and the measurement performance of several properties of magnetic
turbulence based on data cubes from MHD turbulence simulations and
observations. Furthermore, we propose to strengthen the studies of the
magnetization and 3D magnetic field structure's measurements of interstellar
turbulence. At the same time, we also discuss the prospects of new techniques
for measuring magnetic field properties and understanding astrophysical
processes, using a large number of data cubes from the Low-Frequency Array
(LOFAR) and the Square Kilometre Array (SKA).
