A monitoring system for use in a marine riser system coupled to a rig vessel includes one or more subsea inertial measurement units adapted for mounting to a lower end of a riser, an LMRP, or both. The one or more subsea inertial measurement units may acquire time series data of inclination and acceleration. The one or more subsea inertial measurement units may transmit, to a vessel transceiver, frequency data computed from the time series data, low-pass filtered values of the time series data, or both. The monitoring system includes a surface processing unit that is in communication with the vessel transceiver. The surface processing unit may be programmed to compute, for example, fatigue along the marine riser system, the difference between the inclination of the lower end of the riser and the inclination of the LMRP, or both, by applying predetermined functions to the transmitted data.
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