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.
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