A device for detecting a fall of a person, comprising: an interface which is designed for capturing a time-dependent air pressure signal that is determined by means of at least one air pressure sensor (104; 104, 106; 104, 106-1, 106-2) worn on the body of the person, and an evaluation unit which is designed for determining a fall height with respect to an evaluation time (t e) by means of a window-based signal analysis of the time-dependent air-pressure signal, wherein the window-based signal analysis includes a first time window before the evaluation time and a second time window, which does not overlap with the first time window, after the evaluation time, and wherein the fall height is determined from a difference between a first filter value that is computed based on the time-dependent air pressure signal in the first time window, and a second filter value that is computed based on the time-dependent air pressure signal in the second time window, wherein the computation of the first filter value and/or of the second filter value compensates for a time dependency (800; 900) of the time-dependent air pressure signal, characterized in that wherein in the first time window a first time dependency (902; F 1 (t)) is fitted to the time-dependent air pressure signal, and in the second time window a second time dependency (904; F 2 (t)) is fitted to the time-dependent air pressure signal, the fall height being determined from the difference between the first time dependency (F 1 (t 1,max)) at the end time of the first time window, and the second time dependency (F 2 (t 2,min)) at the start time of the second time window, or in the first time window, the time dependency (802; F(t)), having a first time-independent offset value (C 1) as a fit parameter, is fitted to the time-dependent air pressure signal, and in the second time window, the same time dependency (804; F(t)), having a second time-independent offset value (C 2) as a fit parameter, is fitted to the time-dependent air pressure signal, the fall height being determined from the difference between the first offset value and the second offset value. an interface which is designed for capturing a time-dependent air pressure signal that is determined by means of at least one air pressure sensor (104; 104, 106; 104, 106-1, 106-2) worn on the body of the person, and an evaluation unit which is designed for determining a fall height with respect to an evaluation time (t e) by means of a window-based signal analysis of the time-dependent air-pressure signal, wherein the window-based signal analysis includes a first time window before the evaluation time and a second time window, which does not overlap with the first time window, after the evaluation time, and wherein the fall height is determined from a difference between a first filter value that is computed based on the time-dependent air pressure signal in the first time window, and a second filter value that is computed based on the time-dependent air pressure signal in the second time window, wherein the computation of the first filter value and/or of the second filter value compensates for a time dependency (800; 900) of the time-dependent air pressure signal, characterized in that wherein in the first time window a first time dependency (902; F 1 (t)) is fitted to the time-dependent air pressure signal, and in the second time window a second time dependency (904; F 2 (t)) is fitted to the time-dependent air pressure signal, the fall height being determined from the difference between the first time dependency (F 1 (t 1,max)) at the end time of the first time window, and the second time dependency (F 2 (t 2,min)) at the start time of the second time window, or in the first time window, the time dependency (802; F(t)), having a first time-independent offset value (C 1) as a fit parameter, is fitted to the time-dependent air pressure signal, and in the second time window, the same time dependency (804; F(t)), having a second time-independent offset value (C 2) as a fit parameter, is fitted to the time-dependent air pressure signal, the fall height being determined from the difference between the first offset value and the second offset value.