During a vibration measurement experiment in the Mechanical Engineering Department at Hacettepe University, a piezoelectric accelerometer output is given by this mathemtaical equation: a (t) = 1 + 4 sin(43.98t) + 7sin(100.53t) in gravity acceleration (g) value. a) Determine the frequencies (in Hz) contained in the signal. Round your results to nearest integer value. b) What is the minimum sampling rate to avoid aliasing?
During a vibration measurement experiment in the
a (t) = 1 + 4 sin(43.98t) + 7sin(100.53t) in gravity acceleration (g) value.
a) Determine the frequencies (in Hz) contained in the signal. Round your results to nearest integer value.
b) What is the minimum sampling rate to avoid aliasing?
c) Sketch clearly the frequency spectrum if the signal is sampled at 15 Hz.
d) Now, the signal is filtered with a low-pass Butterworth filter to remove the maximum frequency component. It is desired to attenuate the amplitude of this component to at least 5 % of its value. If the sampling rate is now 20 Hz, what will be the order of the filter?
e) If the blue one is our signal, then what is red and green ones? Write down the mathematical relation between the three signals? (Use labels as blue, red and green signal.)
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