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Fourier Series Please explain the gragh when the k changing

Fourier Series Please explain the gragh when the k changing

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Fourier Series

Please explain the gragh when the k changing

b) Compute the exponential FS coefficients ak by numerical integration. Use the quad command. Since we cannot consider the exact FS with infinite terms, we will consider 2K + 1 terms, ie K â (t) = Σ akejkwot k=-K Generate a plot of the (t) as approximated by K = 1, 5, 10, 30 terms, superimposed on top of the true x(t). Plot only one period, i.e., 0 ≤ t ≤ 3.
Transcribed Image Text:b) Compute the exponential FS coefficients ak by numerical integration. Use the quad command. Since we cannot consider the exact FS with infinite terms, we will consider 2K + 1 terms, ie K â (t) = Σ akejkwot k=-K Generate a plot of the (t) as approximated by K = 1, 5, 10, 30 terms, superimposed on top of the true x(t). Plot only one period, i.e., 0 ≤ t ≤ 3.
x(t) 1.2 1 0.8 0.6 0.4 0.2 0 -0.2 0 0.5 1 1.5 t 2 2.5 x(t) -k=1 k=5 k=10 k=30 W 3
Transcribed Image Text:x(t) 1.2 1 0.8 0.6 0.4 0.2 0 -0.2 0 0.5 1 1.5 t 2 2.5 x(t) -k=1 k=5 k=10 k=30 W 3
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