Consider the following three system functions corresponding to causal LTI systems: H1
Chapter 10, Problem 10.39(choose chapter or problem)
Consider the following three system functions corresponding to causal LTI systems: H1 (z) = ---------,-----=------ (1 - z- 1 + ~z- )(1 - ~z- 1 + ~z- )' 1 H2(z) = -----,------,------- (1- z-I + ~z-2)(1 - ~z-I + z-2)' 1 H3(z) = ---------,------- (1- z-I + ~z-2)(1- z-I + ~z-2) (a) For each system function, draw a direct-form block diagram. (b) For each system function, draw a block diagram that corresponds to the cascade connection of two second-order block diagrams. Each second-order block diagram should be in direct form. (c) For each system function, determine whether there exists a block diagram representation which is the cascade of four first-order block diagrams with the constraint that all the coefficient multipliers must be real.
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