Consider a causal digital filter with transfer function
where K and γ are both real.
(a) Draw an efficient realization of this filter.
(b) Sketch the magnitude response of this filter, assuming |a|
(c) The magnitude response of this lowpass filter is maximum at Ω = 0. The 3-dB bandwidth is the frequency where the magnitude response drops 1/ √ 2 times its maximum value. Determine the 3-dB bandwidth of this filter when γ = 0.2.