A discrete system is described by the difference equation y(n)=2.5y(n-1)-y(n-2)+3x(n)+3x(n-2)
a. Using Z-transform, Determine allpossible impulse responses h(n) and indicate the casuality andstabilityproperties.                                                                                              Â
b.For the casual filter, determine the output y(n) if the inputis x(n)=g(n)-2g(n-1) where g(n)=cos (pin/s)u(n).
