1. ECE 2660 Final Exam Review Part B- signals and systems questions

2. 1.For a system to be unstable it needs all of its poles to be in the right-hand half of the s-plane. 2.The zeros of the system do not affect the BIBO (bounded input – bounded output) stability of the system. 3.If a system is unstable, the output blows up for every input function. 4.For some values of resistances and capacitances, the unity gain Sallen-Key configurations we discussed in class can be unstable. 5.Even though the BJT has an exponential IC vs. VBE response, we can "linearize" its response over small deviations about some operating point. We can then model it as an LTIC system. True or False

3. 1.For a system to be unstable it needs all of its poles to be in the right-hand half of the s-plane. False 2.The zeros of the system do not affect the BIBO (bounded input – bounded output) stability of the system. 3.If a system is unstable, the output blows up for every input function. 4.For some values of resistances and capacitances, the unity gain Sallen-Key configurations we discussed in class can be unstable. 5.Even though the BJT has an exponential IC vs. VBE response, we can "linearize" its response over small deviations about some operating point. We can then model it as an LTIC system. True or False

4. 1.For a system to be unstable it needs all of its poles to be in the right-hand half of the s-plane. False 2.The zeros of the system do not affect the BIBO (bounded input – bounded output) stability of the system. True 3.If a system is unstable, the output blows up for every input function. 4.For some values of resistances and capacitances, the unity gain Sallen-Key configurations we discussed in class can be unstable. 5.Even though the BJT has an exponential IC vs. VBE response, we can "linearize" its response over small deviations about some operating point. We can then model it as an LTIC system. True or False

5. 1.For a system to be unstable it needs all of its poles to be in the right-hand half of the s-plane. False 2.The zeros of the system do not affect the BIBO (bounded input – bounded output) stability of the system. True 3.If a system is unstable, the output blows up for every input function. False 4.For some values of resistances and capacitances, the unity gain Sallen-Key configurations we discussed in class can be unstable. 5.Even though the BJT has an exponential IC vs. VBE response, we can "linearize" its response over small deviations about some operating point. We can then model it as an LTIC system. True or False

6. 1.For a system to be unstable it needs all of its poles to be in the right-hand half of the s-plane. False 2.The zeros of the system do not affect the BIBO (bounded input – bounded output) stability of the system. True 3.If a system is unstable, the output blows up for every input function. False 4.For some values of resistances and capacitances, the unity gain Sallen-Key configurations we discussed in class can be unstable. False 5.Even though the BJT has an exponential IC vs. VBE response, we can "linearize" its response over small deviations about some operating point. We can then model it as an LTIC system. True or False

7. 1.For a system to be unstable it needs all of its poles to be in the right-hand half of the s-plane. False 2.The zeros of the system do not affect the BIBO (bounded input – bounded output) stability of the system. True 3.If a system is unstable, the output blows up for every input function. False 4.For some values of resistances and capacitances, the unity gain Sallen-Key configurations we discussed in class can be unstable. False 5.Even though the BJT has an exponential IC vs. VBE response, we can "linearize" its response over small deviations about some operating point. We can then model it as an LTIC system. True True or False

10. The system presented below is described in four ways: by impulse response, by transfer function, by zeros-poles, and by functionality (what it does). In each case exactly ONE of the four ways of describing the system is incongruent with the other three. Determine which one. System:

11. The system presented below is described in four ways: by impulse response, by transfer function, by zeros-poles, and by functionality (what it does). In each case exactly ONE of the four ways of describing the system is incongruent with the other three. Determine which one. System:

12. The system presented below is described in four ways: by impulse response, by transfer function, by zeros-poles, and by functionality (what it does). In each case exactly ONE of the four ways of describing the system is incongruent with the other three. Determine which one. System:

13. The system presented below is described in four ways: by impulse response, by transfer function, by zeros-poles, and by functionality (what it does). In each case exactly ONE of the four ways of describing the system is incongruent with the other three. Determine which one. System:

14. For the four problems below, match the magnitude bode plots on the right with the system description that corresponds to it on the right:...

15. ... D

16. ... D A

17. ... D A B

18. ... D A B E

21. Which of the following represents the most plausible pole-zero plot of the system above?

23. Which of the following is true? A.There will always be a pair of complex conjugate poles located equidistant from the imaginary axis. B.There will always be an imaginary zero and a single real pole. C.The magnitude of ω 0 due to the zero will always be greater than the magnitude of ω 0 due to the pole. D.None of the other choices is correct.

24. Which of the following is true? A.There will always be a pair of complex conjugate poles located equidistant from the imaginary axis. B.There will always be an imaginary zero and a single real pole. C.The magnitude of ω 0 due to the zero will always be greater than the magnitude of ω 0 due to the pole. D.None of the other choices is correct.

25. Consider the cascade of two systems, as shown in the figure below. What is the end-to-end frequency response? A.H(ω)=H 1 (ω)+H 2 (ω) B.H(ω)=H 1 (ω)*H 2 (ω) C.H(ω)=H 1 (ω)H 2 (ω) D.Just H 2 (ω), since H 1 (ω) doesn’t matter.

26. Consider the cascade of two systems, as shown in the figure below. What is the end-to-end frequency response? A.H(ω)=H 1 (ω)+H 2 (ω) B.H(ω)=H 1 (ω)*H 2 (ω) C.H(ω)=H 1 (ω)H 2 (ω) D.Just H 2 (ω), since H 1 (ω) doesn’t matter.

27. AB CD

28. AB CD