>>program1
Fourier series expansion of the function x(t)
Data:
Number of data points in one cycle = 12
Number of Fourier Coefficients required = 5
Time period = 1.200000e-001
Station i Time at station i: t(i) x(i) at t(i)
1 1.000000e-002 2.000000e+004
2 2.000000e-002 3.400000e+004
3 3.000000e-002 4.200000e+004
4 4.000000e-002 4.900000e+004
5 5.000000e-002 5.300000e+004
6 6.000000e-002 7.000000e+004
7 7.000000e-002 6.000000e+004
8 8.000000e-002 3.600000e+004
9 9.000000e-002 2.200000e+004
10 1.000000e-001 1.600000e+004
11 1.100000e-001 7.000000e+003
12 1.200000e-001 0.000000e+000
Results of Fourier analysis:
azero=6.816667e+004
values of i a(i) b(i)
1 -2.699630e+004 8.307582e+003
2 1.416632e+003 3.608493e+003
3 -5.833248e+003 -2.333434e+003
4 -5.834026e+002 2.165061e+003
5 -2.170284e+003 -6.411708e+002