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(Solved): Fourier Series Expansion of a Square Wave Consider a periodic square wave \( ...



Fourier Series Expansion of a Square Wave
Consider a periodic square wave \( x(t) \) of length \( 2 T \) over the range \( [0???????

Fourier Series Expansion of a Square Wave Consider a periodic square wave \( x(t) \) of length \( 2 T \) over the range \( [0,2 T] \) as shown in the figure below. Formally \( x(t) \) can be written as \[ x(t)=2[H(t / T)-H(t / T-1)]-1 \] where \( H(t) \) is the Heaviside step function. Since \( x(t)=x(2 T-t) \), the function is odd, such that \( a_{0}=a_{n}=0 \). Find the Fourier series expansion \( b[n] \) of the square wave given in the figure and plot the summation of the first 7 (odd) terms of the series from \( n=1 \) to \( n=13 \). Please provide the MATLAB code and plot along with your solution.


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