Consider this digital HPF, where m and k are constants. Figure 15.15 shows the gain versus frequency of this filter for fs = 100 Hz, m = 2, and k = 4, 8, and 16.
a) Is this a FIR or IIR filter? Explain.
b) Derive the H(z) transform of this filter
c) Let fs = 100 Hz, m = 8, and k = 16. Use H(z) to plot gain versus frequency from 0 to 50 Hz.
Figure 15.15
