ECE130A-Final-F09_as_given

ECE130A-Final-F09_as_given - Name ECE 130A Signal Analysis...

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Name: ECE 130A: Signal Analysis and Processing Prof. Michael Liebling Fall 2009 Electrical & Computer Engineering Dept. Friday, 11 December 2009 University of California, Santa Barbara Final Exam Instructions: Write your firstname, lastname, and perm number on each page. The following documentation is allowed: formulary provided on a separate sheet and one (two-sided) sheet of handwritten notes (cheat- sheet). No calculators are allowed. You have from noon to 3:00pm to complete this exam. TA’s will not answer any questions during the exam. Part I. Review (12points) For each question, select one answer only by checking the box corresponding to the correct answer. ( 2 pts ) 1. Convolution (a) (2pts) Which one of the following drawings of x ( t - τ ) is correct given the function x ( τ ) and t < 0 as sketched in the drawing on the right? τ x ( τ ) t τ t x ( t- τ ) τ t x ( t- τ ) τ t /2 t x ( t- τ ) τ -t x ( t- τ ) τ -t x ( t- τ ) τ -t /2 -t x ( t- τ ) ( 4 pts ) 2. Systems Properties (a) (1pts) The frequency response of an LTI system is H (j ω ) = | ω | . The input x ( t ) = e - j π t yields the output y ( t ) = 2 π y ( t ) = j π e - j π t y ( t ) = π e - j π t y ( t ) = ω e j π t (b) (1pts) The system characterized by y ( t ) = x ( t + 1) is anti-causal. True False (c) (1pts) The system characterized by y ( t ) = exp( t ) x ( t ) is linear.
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