MATLAB HELP!!!! HOW TO PLOT PIECEWISE FUNCTION AND FOURIER SERIES?

Question

The Fourier Series is a series representation of a peridoic function in terms of sines and cosines. The Fourier series representation of the function

f(x)={1 0 {-1 -pi
is (4/pi)(sin(x)/1+sin(3x)/3+ sin(5x)/5)+sin(7x)/7+...)

plot on the same graph the function f(x) and its series representation using the four terms shown.

MY QUESTION IS.. how the hell do i plot the piecewise, can someone just explain how to do this because my MATLAB professor is a complete dumbass and doesnt even teach ****. So I have to learn everything on me own!

Answer 1

Question is not clear. From my understanding, you need to plot outcomes of two functions for same data range with a specified interval in same plot with common X& Y axis. one is the square wave and onother one is "g(x)=(4/pi)(sin(x)/1+sin(3x)/3+ sin(5x)/5)+sin(7x)/7"



you can do this by discreatizing continues functions with some interval



generate datasets (x1,y1) for "f(x)={1 0


method 1:

plot(x1,y1,s1,x2,y2,s2,x3,y3,s3,...)



method 2:

plot first graph then use "hold on" after that plot another graph you will get two plots on same graph.



for any more information you can use matlab help.

Answer 2

The function f(t) is 3 –periodic and f(t)={t,0≤t≤1, 1,1

Answer 3

Here are some examples on piecewise functions with Matlab:

(just remove the blank after the /, and follow the link)



matrixlab-examples.com/ piecewise-function.html

matrixlab-examples.com/ scilab-piecewise-function.html





About Fourier series:



matrixlab-examples.com/ fourier-analysis.html

matrixlab-examples.com/ fourier-series.html