Linear time-invariant compensation of cup anemometer and vane inertia

We propose a method to compensate for the phase lag and the amplitude atten uation in the cup anemometer signal. These two effects, caused by the instr ument's inertia, are the major flaws of the cup anemometer in addition to o ver-speeding. Since the instrument's response is invariant in wave number ( not frequency) representation, we transform the signals to be compensated f rom 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 i nstrument performance down to spatial scales equal to or smaller than the d istance constant of the anemometer. The method for cup anemometer compensat ion is presented in detail and later adapted for vanes.