  We demonstrate technological improvements in phonon sector tests of Lorentz
Invariance that implement quartz Bulk Acoustic Wave oscillators. In this
experiment, room temperature oscillators with state-of-the-art phase noise are
continuously compared on a platform that rotates at a rate of order a cycle per
second. The discussion is focused on improvements in noise measurement
techniques, data acquisition and data processing. Preliminary results of the
second generation of such tests are given, and indicate that SME coefficients
in the matter sector can be measured at a precision of order $10^{-16}$ GeV
after taking a years worth of data. This is equivalent to an improvement of two
orders of magnitude over the prior acoustic phonon sector experiment.
