An accelerometer sensor is used to measure the vibration of an aircraft during takeoff. Vibration recording data is recorded in the car_engine.csv file (https://drive.google.com/file/d/1e2asEMoj9_KA2vFif0pWG4Vyg0qYw-jz/view?usp=share_link) and used as an input vibration signal.

1. Write a program to plot the recorded input vibration signal

2. Make a program to plot the FFT results of the input vibration signal for signal analysis purposes

3. Design a highpass filter with a cutoff frequency of 500 Hz and free order

4. Create a program to display the frequency response of the filter

5. Create a program to implement the filter on the input vibration signal so as to produce a new output vibration signal as a result of the filter process

6. Make a program to plot the FFT results of the output vibration signal after filtering