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Unformatted text preview: Due March 17, 2005 BME 171, Spring 2010 - HOMEWORK #7 System Analysis in the Frequency Domain: Response to Input Represented by a Fourier Series 1. The instantaneous flow of blood out of the left ventricle, F ( t ), can be approximated by a rectified sinusoid shown below: t (s) F (ml/s) (a) Using the table of Fourier coefficients posted on the syllabus, determine the representation of F ( t ) as an exponential Fourier series. Assume that the am- plitude is F = 300 ml/s and that the heart rate is 72 beats/minute. What is the period (in s) and fundamental frequency (in rad/s) of this signal? (b) Write a Matlab script to reconstruct your Fourier series representation of F ( t ). Use frequencies- 10 ω ≤ ω ≤ 10 ω . Make a plot of your reconstruction of F ( t ) for 0 ≤ t ≤ 3 s. 2. The arterial pressure P ( t ) developing in response to the instantaneous flow F ( t ) is described by the Windkessel model of the circulatory system , which was one of the early attempts to simulate physiological systems. So, in this assignment, flowof the early attempts to simulate physiological systems....
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- Spring '08
- Fourier Series, diastolic pressure, systolic pressure, Windkessel model