The invention concerns a Coriolis mass flowmeter comprising at least one conduit traversed by the mass, which produces mechanical vibrations under the effect of an excitation unit and acts as an oscillating element, whereof the oscillating behaviour which varies based on the mass flow rate is sensed by at least one sensor to determine the mass flow. The fault to ground analysis involves analysis of a number of digital samples to determine if a predetermined threshold is exceeded during a predetermined period of time. It allows a full range of non-restrictive movement and is indexed between twelve positions patterned after the hours of a clock. One receiver does not use coherent integration before computation of the transform and advantageously maintains a flat frequency response.