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Part 1 Run Program P5 and compare y[n] obtained with weighted input .pdf

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This document describes a 4 part experiment to test the linearity of a system by comparing the output of a program with weighted input to the output obtained by combining outputs with the same weights, and repeating this for different weights and inputs with and without initial conditions.

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Part 1: Run Program P5 and compare y[n] obtained with weighted input with yt[n] obtained by combining the two outputs y1[n] and y2[n] with the same weights. (a) Are these two sequences equal? (b) Is this system linear? Justify your answer. Part 2: Repeat Part 1 for three different sets of values of the weighting constants, a and b, and three different sets of input frequencies. Part 3: Repeat Part 1 with nonzero initial conditions. Part 4: Repeat Part 2 with nonzero initial conditions.

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  • 1. Part 1: Run Program P5 and compare y[n] obtained with weighted input with yt[n] obtained by combining the two outputs y1[n] and y2[n] with the same weights. (a) Are these two sequences equal? (b) Is this system linear? Justify your answer. Part 2: Repeat Part 1 for three different sets of values of the weighting constants, a and b, and three different sets of input frequencies. Part 3: Repeat Part 1 with nonzero initial conditions. Part 4: Repeat Part 2 with nonzero initial conditions.