Consider the system given in Problem 7.55. (a) Determine the parallel-form structure a...

Consider the system given in Problem 7.55.

(a) Determine the parallel-form structure and write a program for its implementation.

(b) Sketch a parallel structure using second-order coupled-form state-space sections.

(c) Write a program for the implementation of the structure in part (b).

(d) Verify the programs in parts (a) and (c) by computing and sketching the impulse response of the system.

Reference: Problem 7.55:

Consider the system specified by the system function

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

(b) Sketch the direct form I, 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.