S-1) The zeros of a causal and stable DZD system are given as z1=1, z2=− 1 and the poles are p1=0.8j, p2=-0.8j. According to this;

S-1) The zeros of a causal and stable DZD system are given as z1=1, z2=− 1 and the poles are p1=0.8j, p2=-0.8j. According to this;
a) Find the system function (H(z)) and the frequency response of the system (H(e^jw)).
b) Write the difference equation for the system.
c) Draw the block diagram representation of the system in Direct-I and Direct-II form.
d) Find the impulse response (h(n)) of the system.
e) Draw the frequency response of the system and state what type of filter function it corresponds to, considering the unit impulse response.