Design a 3 th order high - pass Butterworth filter with a High Frequency gain of 20 DB and a cutoff frequency of 20 rad/s. 2) Using MATLAB, plot the frequency respon se of this filter, and the location of the filter poles. 3) Discuss how a band - pass and band - stop filter can be implemented using the high - pass Butterworth filter above as one of the components. 4) Implement an example of your choice of such filter in MA TLAB and display its frequency response.