# HW04

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Signals and Systems 12 September 2012 Fall 2012 Quiz: Wednesday 19 September 2012 Homework Assignment #4 1. (a) For the given simulation diagram, find the operational transfer function relating y ( k ) and x ( k ); (b) Write a computer program to simulate the system and plot its output. Make your program correspond to the given simulation diagram; that is, program coupled difference equations in variables that correspond to the outputs of the delay blocks. (c) Run the program to determine the zero-input response of y 1 ( k ), y 2 ( k ), y 3 ( k ), and y ( k ) if the initial conditions are y 1 (0) = y 2 (0) = 1, y 3 (0) = 1. (d) Run the program to determine the zero-state response of y 1 ( k ), y 2 ( k ), y 3 ( k ), and y ( k ) if the input x ( k ) is the unit step sequence. x ( k ) y ( k ) 0.45 E 1 1.05 E 1 1.4 E 1 2
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