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94360f95 - CARLETON UNIVERSITY WNW:xfliafiqrfi‘g-EB...

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Unformatted text preview: ». /. '.. - CARLETON UNIVERSITY WNW :xfliafiqrfi‘g-EB Supplemental/Deferred DURATION: 3 HOURS Department Name & Course Number: Course Instructor(s) Auruoluzzn stun-Anne No. of Students: 7 S stems and Computer Engineering 94.360A&B Professors D.Fa.lconer Hafez Hand Held Calculatorsssm _le 8.5311 1 sheet of paper containing memorand. Students MUST count the number of pages i write, and report any discrepancy immediately to a proctor. This question paper has This examination question paper MAY NOT be taken from the examination room. mm YOUR NAME: STUDENT NUMBER: Instructions: This exalnination has 17 pages, including this cover page and 3 blank pages at the end. Do all 8 Questions, using the spaces provided on the examination paper. If necessary, you may use the reverse (blank) side of any page, or the blank pages at the end, to write answers or do rough work. Read the questions carefully, and state any assumptions necessary. [NEWS 3331 n this examination question paper before beginning to 17 pages. EEEEEwEar lama Engineering 94.260C Page 4 3, A linear system has a dc-gain K= +10dB and the following poles and zeros: p1 = -o.1 z, = -2 +j2 p2=-l+j1 zz=-2-52 P3 = '1 ' j] p4 = 135 — -3 [5 Marks] (i) Find the transfer function of the system. H(s). [5 Marks] (ii) Find the impulse response of the system, h(t). ”TEE Bails??? H‘ H‘ #1 9/ Engineering 94.260C Page 5 ————_———_______—____—____ 4. Consider the circuit shown in the figure. R,=R2=10 Ohms, C=0.01 F and L=0.01 h. If the input veltage, V10) is a unit step: [5 Marks] (i) What is the peak value of the output voltage, v.0), and at what time it occurs? [2 Marks] (ii) What is the maximum value of C such that the system acts as a lowpass filter rather than a bandpass filter? - «{- (t) (4.53! Engineering 94.260C Page 6 5. [5 Marks] Find the poles and zeros and the dc-gain of the following system. Engineering 94.260C Page 7 ———————_———a—-uu——h—__—-—__—,___ 6. [3 Marks] [5 Marks] The operational amplifier circuit shown in the figure can be modelled as two linear Systems connected in series. The impulse response of the first system is h,(:) and the impulse response of the second system is h2(t). (i) Find h,(t) and h2(z) (ii) Use melconvolution method to determine the impulse response of the overall system. ION-n. I 1kg H 1+ .M- ,2, Engineering 94.260C Page 8 ——~——————————————___.__________ 7. A.lineg.r system has the following transfer function: 1 H(s) = (5+1) (s’+103+4)‘ The system output is y(t) [5 NIarks] Find the system natural response given that at t=0: y(0)=1 dy/dt(0)=1 and dSz/dr’(0)=o 1+9: Engineering 94.260C Page 9 ——»___—_—._~______H_____m_ 8. A lineai' system has the followmg transfer function: H(s) = —2———2_——(52+S+4) 8 (5+1) (3 +s+100)‘ {5 Marks] (i) Draw the system's Bode plots (magnitude and phase) on the graph paper provided. [2 Marks] (ii) Calculate the exact frequency response (magnitude and phase) at each corner point. @313 £33101}! ”.9 ...
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