Fourier SeriesPlease 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, ieKâ (t) = Σ akejkwotk=-KGenerate a plot of the (t) as approximated by K = 1, 5, 10, 30 terms, superimposed on topof the true x(t). Plot only one period, i.e., 0 ≤ t ≤ 3. x(t)1.210.80.60.40.20-0.200.511.5t22.5x(t)-k=1k=5k=10k=30W3

Given: x^t=∑k=-KKakejkω0t Plots of x^t as approximated by K=1,5,10,30 terms, superimposed on top of…

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Fourier Series Please explain the gragh when the k changing

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

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.

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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