Spr 2011 341 Midterm Grading Rubrics

Spr 2011 341 Midterm Grading Rubrics - +1 Answer Problem 3...

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Spr 2011 341 Midterm Grading Rubrics Problem 1 (26 points) --------------------- (a) Drawing (10 points) 2 points per plot, plus 2 points for labels. (b) Proof of non-linearity (16 points) +2 Answer +6 Use of superposition, scaling, time-invariance, assumed impulse response +5 Mostly valid proof, but missing a step +3 Entirely logically sound explanation Problem 2 (24 points) --------------------- (1) Linear (8 points) +1 Attempt +2 Answer +2 T{ax1+bx1} +2 ay1 + ay2 +1 T{ax1 + ax2} = ay1 + by2 (2) Causal (8 points) +1 Attempt +3 Answer +4 Reason (3) Time-invariant (8 points) +1 Attempt +2 y[n-n0] +2 T{x[n-n0]} +2 Why y[n-n0] = T{x[n-n0]}
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Unformatted text preview: +1 Answer Problem 3 (25 points)---------------------(a) Periodic sum (10 points) +3 N1 = 10 (formula +1, answer +2) +3 N2 = 25 (formula +1, answer +2) +4 N = LCM = 50 (formula +2, answer +2) (b) DFT (15 points) +4 DFT formula +2 decomp cosine into exponentials +2 decomp sine into exponentials +3 orthogonality of exponentials +4 answer Problem 4 (25 points)---------------------+3 convolution equation +3 Recognize there are two regions in n +2 Region 1: n < 2, Region 2: n >= 2 +3 |ab| = |a||b| < 1 +4 Infinite sum for region 1 +4 Infinite sum for region 2 +6 Answer Page 1...
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This document was uploaded on 07/08/2011.

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