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ECE147B_Practice_Midterm_2011

# ECE147B_Practice_Midterm_2011 - ECE147B Winter2011 Practice...

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ECE 147B Practice Midterm Problems Winter 2011 Prof. Katie Byl 1 / 7 UCSB Practice Midterm Problems 1) Plot each of the following requested time responses. Carefully label the output at k =0, k =1, and k =2, and carefully indicate the final value (if bounded) as k approaches infinity. a) ௒ሺ௭ሻ ௑ሺ௭ሻ ௭ି.଺ Sketch the unit impulse response. b) ௒ሺ௭ሻ ௑ሺ௭ሻ ௭ି.଺ Sketch the unit step response. c) ௒ሺ௭ሻ ௑ሺ௭ሻ ଵ.ଶ ௭ା.ଶ Sketch the unit impulse response. d) ௒ሺ௭ሻ ௑ሺ௭ሻ ଵ.ଶ ௭ା.ଶ Sketch the unit step response.

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ECE 147B Practice Midterm Problems Winter 2011 Prof. Katie Byl 2 / 7 UCSB 2) a-d) For pole locations A through D on the z-plane below, find the pole positions on the s-plane that correspond. Simply express each pole (or pole pair) symbolically , in terms of the sampling time, T, and do not solve any challenging math expressions numerically. Hint: By “correspond”, we mean that the discrete-time system output over time could be generated by taking samples from a “corresponding” continuous-time output, i.e., that ݖൌ݁ ௦் relates the DT and CT poles. e) Why would attempting to plot a single corresponding continuous-time pole location for
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ECE147B_Practice_Midterm_2011 - ECE147B Winter2011 Practice...

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