  The Compressed Baryonic Matter~(CBM) experiment in the upcoming Facility for
Antiproton and Ion Research~(FAIR), designed to take data in nuclear collisions
at very high interaction rates of up to 10 MHz, will employ a free-streaming
data acquisition with self-triggered readout electronics, without any hardware
trigger. A simulation framework with a realistic digitization of the detectors
in the muon chamber (MuCh) subsystem in CBM has been developed to provide a
realistic simulation of the time-stamped data stream. In this article, we
describe the implementation of the free-streaming detector simulation and the
basic data related effects on the detector with respect to the interaction
rate.
