An LTI system is defined by the following difference equation: y(n)=x(n)-x(n-2)–0.64y(n-2) Tasks: a) Draw a graphical representation of this difference equation - use the Direct Form II; b) Find the transfer function H(z) of this filter; c) Determine poles and zeros of H(z); d) Construct a pole-zero plot in the z-plane for H(z); e) Through the inspection of the pole-zero plot, determine whether this filter is stable or not and justify your answer; f) Using the pole-zero plot, sketch the frequency response H (e") on the interval = 0..2; g) If you had to choose one of the following options, which would be the best description of this filter: (i) a lowpass, (ii) a highpass, (iii) a bandpass, (iv) a bandstop, or (v) an allpass? Justify your answer.