![]() ![]() ![]() ![]() ![]() Coefficients are computed as followsOk, so now we have an expression for the Fourier coefficients of the square wave functionNotice that if we plug we get a form, but have no fear! If we go back to our definition of and plug directly into the exponential, under the integral sign, we get. We hope to get a nice looking expression for the function as a series since our intention is to plot a few graphs with MATLAB.The function, or signal if you must, we will use for this example will be a classical square wave function shown in the figure below (click to enlarge).The function is periodic with, which is perfect because we don’t have to scale time and we can use the two formulas given above as they are. Our job is to first obtain the expression for the coefficients which we will later plug into the series formula. As promised in the first part of the Fourier series we will now demonstrate a simple example of constructing a periodic signal using the, none other then, Fourier series.If you had to remember two formulas from the last post let them be these two:The first one is the exponential form of the Fourier series and the second one is used to compute its coefficients. ![]()
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