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# Exam 0 - B sketch the signal in the time domain ie y(t vs t...

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1. What is the relationship between a system “impulse response” and “transfer function”? 2. What is the relationship between a system “transfer function” and “frequency response”? 3. Write the differential equation for a system whose transfer function is H(s) = 10 s 1 ( ) s + 10 ( ) s + 1 ( ) 4. Write the frequency response for the system in question 3. 5. Write the transfer function for the linear time-invariant system described by d 2 y ( t ) dt 2 + b dy ( t ) dt + c y ( t ) = K dx ( t ) dt + Ke x ( t ) 6. Given your answer in question 5, describe how you could find the system impulse response. [Do not actually compute it, just write how you would do it.] 7. Sketch the signal: y(t) = U(t-2) - U(t-4) 8. Sketch the signal: y ( t ) = 2 e 0.5 t U ( t ) 9. A signal can be represented in the time domain as y(t) = 10 cos[2 π 8t] + 8 sin[2 π 6t] A. write the representation in the frequency domain, ie, Y(f) = ______

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Unformatted text preview: B. sketch the signal in the time domain, ie, y(t) vs t C. sketch the signal in the frequency domain, ie, Y(f) vs f 10. Show how to Fnd Y(f) from y(t), eg, in question 9. 11. ±ind the ratio Y(s) / X(s) for BME-410 Biomedical Signals Exam 0 Spring 2008 12. Find the ratio Y(s) / X(s) for 13. Find the ratio Y(s) / X(s) for 14. If the impulse response of a linear system is h(t) = 3e − 2t U(t) and the input is x(t) = 2 δ (t-2) , ±nd the output y(t). 15. Repeat question 14 with x(t) = 2 U(t-2) . 16. Repeat question 14 with x(t) = 2 U(t-2) - 2 U(t-4) . 17. If the impulse response of a linear system is h(t) = U(t) - U(t-1) and the input is x(t) = 2 U(t-2) - 2 U(t-4) , ±nd the output y(t). BME-410 Biomedical Signals Exam 0 Spring 2008...
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