ps7 - S with input x and output y , as depicted in Figure...

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UCSB Fall 2007 ECE 130A: Problem Set 7 Assigned: Tuesday, November 27 Due: Tuesday, December 4 Reading: Chapter 9 Final Exam: Friday, December 14, 12-3 pm, in regular classroom Problem 1 LTI systems and Laplace transform, causality, stability 9.28 Problem 2 LTI system response via Laplace transform 9.30 Problem 3 Using unilateral transform for solving diFerential equation related to circuit: 9.20 Problem 4 More solution of diFerential equations: 9.40 Problem 5 RLC circuit and geometric evaluation of ±ourier transform: 9.18 Problem 6 System function algebra for interconnections of LTI systems 9.35 Problem 7: A causal LTI system
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Unformatted text preview: S with input x and output y , as depicted in Figure 1, is characterized by the following dierential equation: d dt y ( t ) + 2 y ( t ) = 0 . 1 x ( t ) (a) Find the output if the input is x ( t ) = cos 2 t . (b) Now, suppose that you introduce feedback into the system as shown in Figure 1. Find the output if the input is x ( t ) = cos 2 t . (c) Sketch the magnitude of the frequency response | H ( j ) | of the system with and without feedback. Discuss how feedback aects the frequency response.-2 x(t) y(t) S x(t) y(t) S Figure 1: System for Problem 7....
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