HW3 - HOMEWORK #3 1. Plot the impulse response function h (...

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HOMEWORK #3 1. Plot the impulse response function ( ) ht vs. n t ω for each of the pole locations shown below in the complex plane. Make one plot for each colored line, and identify the line as having a constant damping ratio, time constant, or oscillation frequency. x xx x x x x Im Re x x x 1 2. A first-order system with impulse response function ( ) / ta e = is excited by a truncated step function () 10 2 0 xt otherwise = , where the time constant 2 a = seconds. Determine the following: a. the system output yt by applying the convolution integral analytically. (HINT: Break the integral into two intervals: 02 and 2 > .) b. the system output by numerically convoluting the two functions (e.g. in MATLAB). c. produce a graph (e.g., in MATLAB) that compares the two solutions. d. interpret your response. Does it make physical sense? Why?
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3. A second-order system with impulse response function () 1 sin n t d d ht e t ζω ω = is excited by a truncated ramp function 02 0 tt T xt otherwise ≤≤ = , where 1 n = rad/s
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This note was uploaded on 01/18/2012 for the course EML 5121 taught by Professor Cattafesta during the Fall '11 term at University of Florida.

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HW3 - HOMEWORK #3 1. Plot the impulse response function h (...

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