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review3 - function H z 13 Given X z and H z find Y z 14...

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Systems Analysis with the Laplace and z Transforms – Review Questions 1. Given governing ODE or impulse response h ( t ), compute transfer function H ( s ). 2. Given H ( s ), draw the location of poles and determine stability. 3. Given H ( s ), sketch Bode plots | H | dB and H . 4. Given analog signal x ( t ), find X ( s ). 5. Given X ( s ) and H ( s ), find Y ( s ). 6. Given Y ( s ), find y ( t ). Perform partial fraction expansion, if necessary. 7. Given Y ( s ), find initial and final values of y ( t ) without taking inverse LT. 8. Given y ( t ) and H ( s ), find x ( t ) (inverse problem). 9. Given x ( t ) and y ( t ), find H ( s ) (identification problem). 10. Given H ( s ), find governing ODE or impulse response h ( t ). 11. Given digital signal x [ n ], find X ( z ). 12. Given difference equation or impulse response h [ n ] of a digital filter, find its transfer
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Unformatted text preview: function H ( z ). 13. Given X ( z ) and H ( z ), find Y ( z ). 14. Given Y ( z ), find y [ n ]. Perform partial fraction expansion, if necessary. 15. Given y [ n ] and H ( z ), find x [ n ] (inverse problem). 16. Given x [ n ] and y [ n ], find H ( z ) (identification problem). 17. Given H ( z ), find governing difference equation or impulse response h [ n ]. 18. Given H ( z ), draw amplitude and phase spectra. Explain where they reside on the complex plane. 19. Explain relation between s-plane and z-plane. 20. Given H ( z ), draw the location of poles and zeros and determine stability of the filter....
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