Consider a fourth-order causal LTI systemS whose system function is specified as 1 H(s)

Chapter 9, Problem 9.38

(choose chapter or problem)

Consider a fourth-order causal LTI systemS whose system function is specified as 1 H(s) = (s2 - s + l)(s2 + 2s + 1) (a) Show that a block diagram representation for S consisting of a cascade of four first -order sections will contain multiplications by coefficients that are not purely real. (b) Draw a block diagram representation for S as a cascade interconnection of two second-order systems, each of which is represented in direct form. There should be no multiplications by nonreal coefficients in the resulting block diagram. (c) Draw a block diagram representation for S as a parallel interconnection of two second-order systems, each of which is represented in direct form. There should be no multiplications by nonreal coefficients in the resulting block diagram.

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