Explain why the maximum value of r in the MATLAB command butter() is 1.
Extend the data in Table 8.1 by replicating the data in an up-and-down manner as:
0.1, 1.05, 1.92, 3.9, 4.02, 4.94, 4.02, 3.9, 1.92, 1.05, 0.1, 1.05, 1.92, 3.9, 4.02, 4.94,
4.02, 3.9, 1.92, 1.05, 0.1.
Apply the simple moving average filter discussed in the chapter with alpha values,
0.25, 0.5, 0.75, and 1. In your view, what is the most optimal choice?