  The Mu2e experiment measures the conversion rate of muons into electrons and
the Muon g-2 experiment measures the muon magnetic moment. Both experiments
require 53 MHz batches of 8 GeV protons to be re-bunched into 150 ns, 2.5 MHz
pulses for extraction to the g-2 target for Muon g-2 and to a delivery ring
with a single RF cavity running at 2.36 MHz for Mu2e. The LLRF system for both
experiments is implemented in a SOC FPGA board integrated into the existing 53
MHz LLRF system in a VXI crate. The tight timing requirements, the large
frequency difference and the non-harmonic relationship between the two RF
systems provide unique challenges to the LLRF system design to achieve the
required phase alignment specifications for beam formation, transfers and beam
extinction between pulses. The new LLRF system design for both projects is
described and the results of the initial beam commissioning tests for the Muon
g-2 experiment are presented.
