Use the Fourier series expansions of periodic square wave and triangular signals to find the sum of the following series:
1 - 1/3 + 1/5 - 1/7 + ...
1 + 1/9 + 1/25 + 1/49 + ...© BrainMass Inc. brainmass.com October 24, 2018, 9:08 pm ad1c9bdddf
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We write the triangle wave as:
It looks like:
This function is symmetric; hence we will expand it as a cosine series. For a function defined in the ...
The solution explains the Fourier series expansions for the Periodic Signals. Periodic square waves and triangular signals to find the sum of functions are examined.
Fourier Series of Signal
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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)View Full Posting Details