A vibration rectification error correction device, a sensor module, and a method thereof, in order to generate data synchronized with a
signal that is not synchronized with a reference
signal, do not require a large circuit size synchronization circuit or a
heavy load operation. The vibration rectification error correction device includes a reference
signal generation circuit that outputs a reference signal; a frequency
delta sigma modulation circuit that frequency
delta sigma modulates the reference signal using a measured signal to generate a frequency
delta sigma modulation signal; a first filter that is provided at a subsequent stage of the frequency
delta sigma modulation circuit and that operates in synchronization with the measured signal; and a second filter that is provided at a subsequent stage of the first filter and that operates in synchronization with a first frequency signal that is not synchronized with the reference signal.