Linear time-invariant compensation of cup anemometer and vane inertia

We propose a method to compensate for the phase lag and the amplitude attenuation in the cup anemometer signal. These two effects, caused by the instrument's inertia, are the major flaws of the cup anemometer in addition to over-speeding. Since the instrument's response is invariant in wave number (not frequency) representation, we transform the signals to be compensated from the time domain to the spatial domain by using Taylor's hypothesis. In the spatial domain we apply a linear time-invariant filter to eliminate the phase lag and the amplitude attenuation. The proposed procedure improves instrument performance down to spatial scales equal to or smaller than the distance constant of the anemometer. The method for cup anemometer compensation is presented in detail and later adapted for vanes.