Digital Resonators:

• It is a two pole bandpass filter, having a pair of complex conjugate poles located near the unit circle.

• The frequency magnitude response resonates near the location of poles. It is having large magnitude response.

• The resonant frequency of this filter is determined by angular position of poles.

• We can select two zeros & two poles system to represent digital resonator

• Select two zeros at the origin.

• Select one zero sat +1 and -1

$H(z)=\frac{(b_o z^2)}{(z-re^(jω_0 ) )(z-re^(-jω_0 ) )}$

Here b_ois the gain of system.