class06

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University of Nevada, Las Vegas *

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360

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Electrical Engineering

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Feb 20, 2024

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class06 Due Feb 3 at 11:59pm Points 10 Questions 6 Available Feb 2 at 12am - Feb 3 at 11:59pm Time Limit 30 Minutes Instructions OW Chapter 2 Convolution and System Properties You should have a note taking device handy (notepad, scratch paper, etc.) before beginning the assessment to do your work before selecting an appropriate answer. While not usually necessary, it might be handy to have a calculator nearby. Note: each participation assessment is worth a total of 5 points. This will generally let you miss one or two questions without any penalty. If a question has multiple correct answers, unless specifically requested, you only need to select one answer. You will receive partial points from the system but the score will be updated manually to full points. Attempt History Attempt Time Score LATEST Attempt 1 28 minutes 4.25 out of 10 Score for this quiz: 4.25 out of 10 Submitted Feb 3 at 8:12pm This attempt took 28 minutes. Question 1 1 / 1 pts Given the CT system with impulse response Select all properties that are true. Correct! linear Correct! time-invariant Correct! stable causal memoryless

Question 2 0.75 / 1 pts Given the DT system with impulse response Select all properties that are true. Correct Answer causal Correct! stable Correct! time-invariant Correct! linear memoryless Question 3 0.5 / 1 pts Given the DT system with impulse response Select all properties that are true. memoryless Correct! stable Correct! causal Correct Answer linear Correct Answer time-invariant

Question 4 0 / 2 pts Give the output for the convolution of and . You should use the first interpretation of convolution (shifted impulse response). You will specify the start_time _____ and give the output sequence _____ . The start_time indicates the time of first non-zero sample and sequence is the set of output values starting with start_time (use comma to separate values but no spaces). An example of correct output if is the following start_time: -2 sequence: 3,0,1,7 Answer 1: You Answered 0 Correct Answer 2 Answer 2: You Answered 1,-1,-2,1 Correct Answer 1,1,0,0,-2,-2,1,1

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Question 5 0 / 2 pts You want to evaluate the convolution with Consider the case of "full overlap" (when the h(t) signal is fully covered by x(t) ). Find the limits of time value t for this case. What is the lower_time_bound _____ and upper_time_bound _____ ? You can specify infinity and -infinity. Answer 1: You Answered 0 Correct Answer 2 Answer 2: You Answered 5 Correct Answer 3

Question 6 2 / 3 pts You want to evaluate the convolution with Match the convolution integral interval (range of t) with the associated time interval for the case (range of t). For this problem, you should flip and drag h(t). Note in this problem, both x(t) and y(t) will be one in the in the overlap region therefore the integral will always be of the form with specification such as [a,b]=[1,2]. We will use \leq = less than equal and \geq = greater than equal [a,b] = [t-3, 3] Correct! 3 < t \leq 5 [a,b] = [0, t] You Answered t < 0 Correct Answer 0 \leq t < 2 [a,b]=[t-2, t] Correct! 2 \leq t \leq 3 Other Incorrect Match Options: t > 5 t < 0 0 \leq t 3