Development and implementation of a time-based signal generation scheme for the Muon Chamber simulation of the CBM experiment at FAIR

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.