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|...

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.