HO7_Quiz2

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Santa Clara University *

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234

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Electrical Engineering

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Apr 3, 2024

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Handout 7 ELEN234: Winter ‘15 1/27/15 ELEN234: QUIZ #2 (15 minutes) Instructions: Provide justification for each answer. Partial credit will be given for wrong answers if supporting work has merit. You may find extra information in one or more of the questions. Your task is to determine what you need to know, use it, and answer the question. This quiz is closed book/closed notes. Use the magnitude and phase plots of a frequency response, 𝐻𝐻 ( 𝑒𝑒 𝑗𝑗𝜔𝜔 ) , shown here to answer the questions. 1) (3 points) What is the delay of the system? 2) (2 point) You are told that the filter is even and causal with the first coefficient at n=0. From that, and the information provided (and your answer to (1)), can you predict the length of the filter? 3) (3 points) Two signals 𝑥𝑥 1 ( 𝑡𝑡 ) = cos(2 𝜋𝜋 (10) 𝑡𝑡 ) and 𝑥𝑥 2 ( 𝑡𝑡 ) = cos(2 𝜋𝜋 (30) 𝑡𝑡 ) are sampled at 100 Hz. and then put through the above filter. Which one will yield an output with greater magnitude? 4) (2 points) Draw the magnitude plot of the frequency response for 𝐻𝐻 2 ( 𝑧𝑧 ) = 𝐻𝐻 ( −𝑧𝑧 ) . -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 0 0.2 0.4 0.6 0.8 1 1.2 1.4 angular frequency, w, in multiples of pi magnitude -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 angular frequency, w, in multiples of pi phase in multiples of pi
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