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Unformatted text preview: ECE320 Homework 13 Spring 2006 Cornell University T.L.Fine Please hand in this assignment by noon on Tuesday, 9 May, at my office in RH388. 1. Consider the phase locked loop (PLL) system displayed in Figure 11.17 of the class notes. The information-bearing phase modulated signal is the angle θ s ( t ) and the tracking or demodulated signal provided by the PLL is the angle θ v ( t ). The overall system S input is θ s and the system output is θ v . The goal is to have θ v ( t ) closely track θ s ( t ). (a) Write a system equation relating the error term e = θ s- θ v to the input θ s , to e itself, and to and the system elements. (This will not be an ode .) (b) Now assume that h represents an ideal integrator and, after appropriate differentiation, write an ode for the error e . Classify this ode as to order, degree, and whether or not it is autonomous. (c) Rewrite this ode in our standard vector differential equation form....
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This homework help was uploaded on 09/25/2007 for the course ECE 3200 taught by Professor Fine during the Spring '06 term at Cornell.
- Spring '06
- Graph Theory, undirected graph, differential equation form, vector differential equation