A pressure transducer has a natural frequency of 50 kHz and a damping ratio of 0.4. It is to be used to measure pressures with frequencies of up to 10 kHz. A digital data acquisition system is to be used.
a. What is the minimum sampling rate to be specified?
b. Since noise is broadband, i.e., it may exist at frequencies higher than 10 kHz, determine the minimum cutoff frequency for an anti-aliasing filter.
c. What are the minimum value of the magnitude ratio and the maximum value of the phase shift of the transducer output when measuring signals at frequencies of equal or less than 10 kHz?