Given the discrete IIR filter realization shown in Figure 12.31 where G is a gain value (a)

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Given the discrete IIR filter realization shown in Figure 12.31 where G is a gain value

(a) Determine the difference equation that corresponds to the filter  realization.

(b) Determine the range of values of the gain G so that the given filter  is BIBO stable and has complex conjugate poles.


Figure 12.31:

y[n] r[n] + e[n]

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