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Department
Earth, Space Science and Engineering
Course
ESSE 3020
Professor
All Professors
Semester
Winter

Description
EATS 3020 - Problem Set 1 Vincent Huynh 207856768 harmonics a |a | 2. d) k k 1 -0.4053 0.1643 2 0.2026 0.0411 3 -0.1351 0.0183 4 0.1013 0.0103 5 -0.0811 0.0066 6 0.0675 0.0046 7 -0.0579 0.0034 8 0.0507 0.0026 9 -0.0450 0.0020 10 0.0405 0.0016 Power Spectrum 0.18 0.16 0.14 0.12 2 0.1 k |0.08 0.06 0.04 0.02 0 0 2 4 6 8 10 12 k EATS 3020 - Problem Set 1 Vincent Huynh 207856768 2. f) x T(x) = x – 1/3 0.04 -0.3317 0.08 -0.3269 0.12 -0.3189 0.16 -0.3077 0.20 -0.2933 0.24 -0.2757 0.28 -0.2549 0.32 -0.2309 0.36 -0.2037 0.40 -0.1733 0.44 -0.1397 0.48 -0.1029 0.52 -0.0629 0.56 -0.0197 0.60 0.0267 0.64 0.0763 0.68 0.1291 0.72 0.1851 0.76 0.2443 0.80 0.3067 0.84 0.3723 0.88 0.4411 0.92 0.5131 0.96 0.5883 1.00 0.6667 Plot for T(x) 0.8 0.6 0.4 ( 0.2 T 0 0 0.2 0.4 0.6 0.8 1 1.2 -0.2 -0.4 x EATS 3020 - Problem Set 1 Vincent Huynh 207856768 2. g) x T (x) = 4/(k π) x cos(k πx) x cos(k π) 1 max max max 0.0 -0.4053 0.1 -0.3854 0.2 -0.3279 0.3 -0.2382 0.4 -0.1252 0.5 0.0000 0.6 0.1252 0.7 0.2382 0.8 0.3279 0.9 0.3854 1.00 0.4053 kmax= 1 2. h) T1 on same graph as T(x) 0.8000 0.6000 0.4000 0.2000 T(x) T 0.0000 T1 1 2 3 4 5 6 7 8 9 10 11 -0.2000 -0.4000 -0.6000 x 2 2. i) T1(x) = 4/(max) x cos(kmaxπx) x cos(maxπ) EATS 3020 - Problem Set 1 Vincent Huynh 207856768 x T(x) T1(x) T2(x) T3(x) T4(x) T5(x) 0.0 -0.3333 -0.4053 -0.30396355 -0.34899519 -0.32366489 -0.33987628 0.1 -0.3233 -0.3854 -0.30347813 -0.32994706 -0.32211957 -0.32211957 0.2 -0.2933 -0.3279 -0.29657227 -0.28265673 -0.30314937 -0.28693798 0.3 -0.2433 -0.2382 -0.26953036 -0.22670273 -0.24719537 -0.24719537 0.4 -0.1733 -0.1252 -0.20721043 -0.17077907 -0.16295158 -0.17916297 0.5 -0.0833 0.0000 -0.10132118 -0.10132118 -0.07599089 -0.07599089 0.6 0.0267 0.1252 0.04326931
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