A process for analyzing multidimensional vector data of a motion sensor for detecting a breathing motion, includes receiving and storing the multidimensional vector data of the motion sensor in a time series, calculating a plurality of medium-term vectors and of a plurality of long-term average vectors, calculating and storing a plurality of mean-free vectors depending on a difference between a respective medium-term vector and a respective long-term average vector and determining a plurality of unit vectors. The respective unit vector is oriented in a random direction. A plurality of scalar products are calculated from a respective mean-free vector and the unit vector assigned to the mean-free vector. A motion identification is calculated, which is an indicator of the breathing motion, based on the plurality of scalar products. An analysis signal is determined and output based on a comparison between the motion identification and a predefined motion threshold value.