Consider the LTI system represented by the FIR lattice structure in Figure P6.33-1....

Consider the LTI system represented by the FIR lattice structure in Figure P6.33-1.

(a) Determine the system function from the input x[n] to the output v[n] (NOT y[n]).

(b) Let H(z) be the system function from the input x[n] to the output y[n], and let g[n] be the result of expanding the associated impulse response h[n] by 2 as shown in Figure P6.33-2.

Figure P6.33-2

The impulse response g[n] defines a new system with system function G(z).We would like to implement G(z) using an FIR lattice structure. Determine the k-parameters necessary for an FIR lattice implementation of G(z). Note: You should think carefully before diving into a long calculation