Consider the system given in Problem 9.40 with (a) Determine a lattice realization f...

Consider the system given in Problem 9.40 with

(a) Determine a lattice realization for the system

H(z) = B(z)

(b) Determine a lattice realization for the system

(e) Determine a lattice-ladder realization for the system H(z) = B(z)/A(z).

(d) Write a program for the implementation of the lattice-ladder structure in part (c).

(e) Determine and sketch the first 100 samples of the impulse responses of the systems in parts (a) through (c) by working with the lattice structures.

(f) Compute and sketch the first 100 samples of the convolution of impulse responses in parts (a) and (b). What did you find? Explain your result.

Reference of Problem 9.40:

Consider the system specified by the system function

(a)Choose so that the gain of each second-order section at ω = 0 is equal to 1.

(b)Sketch the direct form 1, direct form 2, and cascade realizations of the system.

(c) Write a program that implements the direct form 1 and direct form 2, and compute the first 100 samples of the impulse response and the step response of the system.

(d) Plot the results in part (c) to illustrate the proper functioning of the programs.