Derive the h(z) transform of this filter

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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

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

Reference no: EM131089876

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