PYTHON/JUPYTER NOTEBOOKS given the attached fourier data : # Measurements of fourier data data = [ [-2.00, -9.37], [-1.00, 10.00], [-1.14, 10.83], [-0.29, -13.88], [0.00, -18.00], [0.57, -1.83], [1.00, 14.00], [1.43, 14.5], [2.00, 0.00], [2.29, -1.38], [3.00, 28.00], [3.14, 35.64], [4.00, 37.88], [5.00, -23.00], [4.86, -17.52], [5.71, -14.63], [6.00, -1.00], [6.50, -15.00], [6.57, -1.73], [7.00, 12.00], [7.43, 5.97], [7.50, 2.00], [8.29, 22.78], [9.00, 1.00], [9.14, -6.41], [10.0, -9.37] Fit the data with the linear least-squares fit method using Fourier basis functions. Use 15 pairs of sines and cosines and create the plots/results below. x_vec = [ 1.591 -0.42 5.684 -5.112 -2.257 0.36 4.546 -7.626 0.341 -4.391 1.092 1.878 4.286 7.783 -3.427 -4.608 1.763 -0.957 -1.751 3.441 2.857 -2.624 2.96 0.911 -2.538 2.782 -1.943 -8.819 1.635 2.123 2.123] Local Relative Error (discarding y values < 0.1): mean [%] = 17.08 std [%] = 89.43 max, min [%] = 450.00, -45.00 discarding |?| values < 0.1
PYTHON/JUPYTER NOTEBOOKS
given the attached fourier data :
# Measurements of fourier data
data = [
[-2.00, -9.37], [-1.00, 10.00], [-1.14, 10.83], [-0.29, -13.88],
[0.00, -18.00], [0.57, -1.83], [1.00, 14.00], [1.43, 14.5],
[2.00, 0.00], [2.29, -1.38], [3.00, 28.00], [3.14, 35.64],
[4.00, 37.88], [5.00, -23.00], [4.86, -17.52], [5.71, -14.63],
[6.00, -1.00], [6.50, -15.00], [6.57, -1.73], [7.00, 12.00],
[7.43, 5.97], [7.50, 2.00], [8.29, 22.78], [9.00, 1.00],
[9.14, -6.41], [10.0, -9.37]
Fit the data with the linear least-squares fit method using Fourier basis functions. Use 15 pairs of sines and cosines and create the plots/results below.
x_vec = [ 1.591 -0.42 5.684 -5.112 -2.257 0.36 4.546 -7.626 0.341 -4.391 1.092 1.878 4.286 7.783 -3.427 -4.608 1.763 -0.957 -1.751 3.441 2.857 -2.624 2.96 0.911 -2.538 2.782 -1.943 -8.819 1.635 2.123 2.123]
discarding |?| values < 0.1
![Power [y au]
4
1
0
0
Power Spectrum N = 15
4
8
10
Cycle Frequency (wk = kµ/2π) [cycles/period]
6
12
14](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faac0f6cd-6ab1-4fb9-8b49-ef0c225cb05e%2Fc3c50f35-623f-4ebc-ba46-d6e92eadb334%2F8rxgj1i_processed.png&w=3840&q=75)
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