The same data file from question 2 is used for this question. (Paste all figures to your answer sheet.)
In order to obtain the low frequency component of the signal as well as to eliminate the high frequency noise, a Butterworth lowpass filter is required with a cut off frequency at 500Hz. Design and apply this filter to the signal y, using a 1st and a 4th Butterworth filter respectively. In each case,
⦁ superimpose the original and the filtered signal. Zoom in the data to a time scale of 10ms (avoid 0~100ms), and discuss the effect of the order of the filter on the quality of the filtered data.
⦁ Calculate the frequency response of the original and the filtered data, and superimpose them in a figure. Zoom into the frequency range of 895~915Hz, and discuss why there is a difference between these frequency responses.
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