Practice Exam 2 Solutions for ECE 417 Multimedia Signal Processing at University of Illinois at Urbana-Champaign, Study notes of Software Engineering

Download Practice Exam 2 Solutions for ECE 417 Multimedia Signal Processing at University of Illinois at Urbana-Champaign and more Study notes Software Engineering in PDF only on Docsity! UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Department of Electrical and Computer Engineering ECE 417 Multimedia Signal Processing Fall 2018 PRACTICE EXAM 2 SOLUTIONS Wednesday, December 12, 2018 Problem 1 (16 points) δ` = ( (y` − y∗` ) + L∑ k=`+1 δkwkl ) σ′(a`) = ( (y` − y∗` ) + L∑ k=`+1 δkwkl ) y`(1− y`) Problem 2 (17 points) δ[m1,m2] = ∑ n1 ∑ n2 ε[n1, n2]u[m1 − n1,m2 − n2] Problem 3 (16 points) Use A =  a b c d e f 0 0 1  Define ~du3 = ~u3 − ~u1, ~du4 = ~u4 − ~u2, ~dx3 = ~x3 − ~x1 = A ~du3, ~dx4 = ~x4 − ~x2 = A ~du4. Then ~dx3 =  aα cos θ + bα sin θ dα cos θ + eα sin θ 0  , ~dx4 =  aβ cos θ + bβ sin θ dβ cos θ + eβ sin θ 0  Then the slopes are given by slope( ¯x1x3) = dα cos θ + eα sin θ aα cos θ + bα sin θ = d cos θ + e sin θ a cos θ + b sin θ slope( ¯x2x4) = dβ cos θ + eβ sin θ aβ cos θ + bβ sin θ = d cos θ + e sin θ a cos θ + b sin θ Problem 4 (17 points)