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.
![1286_8fe40c96-7f4b-4603-be2f-d4ef49a3c9b9.png](https://secure.tutorsglobe.com/CMSImages/1286_8fe40c96-7f4b-4603-be2f-d4ef49a3c9b9.png)
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
![777_1341989e-4509-4ddc-bd83-74cf1387db2c.png](https://secure.tutorsglobe.com/CMSImages/777_1341989e-4509-4ddc-bd83-74cf1387db2c.png)