a) Given the z-transfer function: G(z) = 0.0001665 22 -0.000166522 - 0.00016652 +0.0001665 23 -2.999z2 +2.9977-0.9983 ) From the z-transfer function of (a ) above, write code in MATLAB to simulate the transfer-function using a sampling frequency of 1kHz. Hint, MATLAB needs to work in arrays for plotting. Fill an array of ones for the input and put each step-by-step output into an array. Then plot the array after a full run of 20 seconds. The system is a passive electronic circuit with no feedback and is clearly stable. If your solution is unstable (the output diverges and does not converge to steady-state) then your solution is wrong or you have used the wrong precision in the software. Include the discrete-time Bilinear part at the top of the program first to get maximum precision. If you have difficulty use Format long at the top of your program. a) Given the z-transfer function: G(z) = 0.0001665 22 -0.000166522 - 0.00016652 +0.0001665 23 -2.999z2 +2.9977-0.9983 ) From the z-transfer function of (a ) above, write code in MATLAB to simulate the transfer-function using a sampling frequency of 1kHz. Hint, MATLAB needs to work in arrays for plotting. Fill an array of ones for the input and put each step-by-step output into an array. Then plot the array after a full run of 20 seconds. The system is a passive electronic circuit with no feedback and is clearly stable. If your solution is unstable (the output diverges and does not converge to steady-state) then your solution is wrong or you have used the wrong precision in the software. Include the discrete-time Bilinear part at the top of the program first to get maximum precision. If you have difficulty use Format long at the top of your program