stest2-2005

# stest2-2005 - Name BME 171, Spring 2005 - TEST #2 1. Find...

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Name BME 171, Spring 2005 - TEST #2 1. Find an inverse Fourier transform of the following function: X ( f ) = e - j 2 πf 1 + j 2 π ( f - 1) Note which pairs and properties you are using. 2. A mass on a spring can be considered a second order LTI system. The governing equation is: m d 2 y dt 2 + c dy dt + k y ( t ) = x ( t ) , where x ( t ) is the force acting on the mass, y ( t ) is the displacement of the mass from the rest position, m is the mass, c is the damping coe±cient, and k is the sti²ness of the spring. (a) Determine the natural frequency and the time constant of this system. (b) Find the frequency response of this system using any method taught in this class. 3. Consider the following signal: x ( t ) = - 2 . 5 + 3 cos(2 π ( t - 0 . 25)) (a) Write x ( t ) in the complex exponential form (as a sum of phasors). (b) Determine the response of the system characterized by the amplitude and phase spectra shown below to input

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## This note was uploaded on 05/25/2010 for the course BME 171 taught by Professor Izatt during the Spring '08 term at Duke.

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stest2-2005 - Name BME 171, Spring 2005 - TEST #2 1. Find...

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