university of illinois at urbana-champaign, Summaries of Software Engineering

Download university of illinois at urbana-champaign and more Summaries 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 2019 EXAM 1 SOLUTIONS Tuesday, September 24, 2019 Problem 1 (20 points) (a) T = 98 (b) N = 480 ( 18000 5000 ) = 1728 (c) akn = e−j 2πkn N (d) S[k, t] = max ( 0, ( 255 60 ) 20 log10 ( |X[k, t]| XMAX/1000 )) Problem 2 (5 points) X[k] = 1 2 WR ( 2πk N − ω0 ) + 1 2 WR ( 2πk N + ω0 ) Problem 3 (5 points) Sxx(ω) = 1 1− ρe−jω + 1 1− ρejω − 1 Problem 4 (5 points) Any solution that is even-symmetric (s[m] = s[M −m]), and that includes all and only the samples of x[n], is acceptable. For example, here are two possibilities: M = 2N and s[m] =  x[m] m ∈ {0, 1, . . . , N − 1} 0 m = N x[M −m] m ∈ {N + 1, . . . ,M − 1}