Any help explaining/solving this ? 0 0 t 4 1) You are given a finite step functi

Question

Any help explaining/solving this ?

0 0 t 4 1) You are given a finite step function x(t) 1 4 t 8 a) Hand calculate the FS coefficients ofxt for each case below and modify the code. b) Approximate 20t by even coefficients only. Modify the below code and plot the approximation showing its steps changing by included number of FS terms in the approximation. c) Approximate 20) by odd coefficients only. Modify the below code and plot the approximation showing its steps changing by included number of FS terms in the approximation Print out your plot and code and turn it in as your answer to this problem cleag all close all Example MATLAB M-file that plots a Fourier series set up some input values %period 2L num terms 100 %approximate infinite series with finite number of terms Miscellaneous setup stuff format Compact Gets rid of extra lines in output. Optional Initialize x-axis values from -1.25L to 1.25L. Middle number is step size. Make middle number smaller for smoother plots sx 0.5 0.001 4.5 h -4. 5:0.001 4 5: x zeros length (h) 1) h & h 2

Explanation / Answer

In mathematics, a function on the real numbers is called astep function (or staircase function) if it can be written as afinite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constantfunction having only finitely many pieces. In mathematics, a function on the real numbers is called astep function (or staircase function) if it can be written as afinite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constantfunction having only finitely many pieces.

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