Abstract: A method for monitoring a free weight system with a load bearing member having a sensor mounted thereon. The load bearing member has additionally mounted thereon at least one weight, each having a further sensor mounted thereon, wherein said sensor comprises an accelerometer and a gyroscope and is associated with a weight value. The method includes receiving motion data sets from the sensor and the at least one further sensor; for each of the motion data set correcting acceleration data based on gyroscope data; based on the corrected acceleration data obtained as corrected motion data sets, identifying moving sensors; grouping, among the moving sensors, the sensor with at least one of the at least one further sensor based on the corrected acceleration data being concurrent among the respective corrected motion data sets.

Abstract: A method for counting spatially arranged, moving markers, wherein the markers being arranged to move along a movement axis parallel to a sensors axis of sensors for detecting the markers during movement. The number of sensors is lower than the number of markers in order to decrease the cost of the sensors system. The present system supports stacks having objects, associated with the markers, of different sizes such as weight plates of increasing height) or different weights.

Abstract: A system for a quantitative detection of a movement. The system includes a signal emitter and two signal receivers, positioned in series, along a first axis parallel to a second axis of movement of a reflective marker provided on a moving object. The reflective marker is configured to reflect a signal emitted by the signal emitter towards the two signal receivers. The two receivers have a signal reception coverage such that allows existence of a reflective marker position, on the second axis, in which the reflective marker of a given size is recognized simultaneously by the two signal receivers.