(See attached file for full problem description)
Consider a periodic function f(x) with period L.
Over one period, f(x) = sin(2*pi*x/L) over the interval -L/4 to L/4, f(x) = 0 over the intervals -L/2 to -L/4, and L/4 to L/2.
Derive an expression for the nth Fourier series coefficient, an.
In the Fourier series expansion
plot for n = -4 to 4 using matlab, and superimpose onto a plot for f(x)© BrainMass Inc. brainmass.com October 9, 2019, 6:04 pm ad1c9bdddf
The solution is comprised of detailed calculation of Fourier series expansion of periodic function. It also includes the Matlab codes to plot the graphs.