102_1_Review-MT

102_1_Review-MT - UCLA DEPARTMENT OF ELECTRICAL ENGINEERING...

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UCLA DEPARTMENT OF ELECTRICAL ENGINEERING Spring 2008 Your Name (LAST, Middle, First):————————————————– SAMPLE MIDTERM EXAMINATION 1
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t-Domain Analysis (Do NOT use Laplace Transforms ) (Question 1) (i) Plot the following function: x ( t ) = e - t U ( t - 1 ) + δ ( t + 1 ) (ii) This function is taken to be the input to a system with IPOP relation S : y ( t ) = Z -∞ tU ( σ - t ) x ( σ ) U ( σ ) d σ -∞ < t < Your problem is to find y ( t ). (iii) S is TV / TI ? C / NC ? (Question 2) The IPOP of system S 1 is: y ( t ) = Z t -∞ x ( τ ) d τ + Z t e t - τ x ( τ ) d τ t ( -∞ , ) The IPOP of system S 2 is: y ( t ) = Z t -∞ e - τ x ( t - τ ) d τ t ( -∞ , ) (i) Find IRFs h 1 ( t ) and h 2 ( t ). (ii) state properties of S 1 and S 2 : TV / TI ? C / NC ? (iii) Find IRF of the cascaded system S 21 : h 21 ( t ). (iv)
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102_1_Review-MT - UCLA DEPARTMENT OF ELECTRICAL ENGINEERING...

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