(Solved): 2.31 Consider the interconnection of LTI systems as shown in Fig. P2.31. Figure P2.31 Express the o ...

2.31 Consider the interconnection of LTI systems as shown in Fig. P2.31. Figure P2.31 Express the overall impulse response \( h(n) \) in terms of \( h_{1}(n), h_{2}(n), h_{3}(n) \), and \( h_{4}(n) \). Q2 (P2.42) written based 2.42 Determine the direct form I and form II realization for the system (a), determine the direct form I realization for the system (b): (a) \( 2 y(n)+y(n-1)-4 y(n-3)=x(n)+3 x(n-5) \) (b) \( y(n)=x(n)-x(n-1)+2 x(n-2)-3 x(n-4) \) (c) which system is recursive, which system is non-recursive, why? (d) which system is FIR, which is IIR, why?