Plot Fourier Series from a variable
Show older comments
I have this program which calculates the Fourier Series of a function. In this case the function is just f(t)=x. It makes the calculation correctly, and it can compute as many terms of the series as I want (in this case only 5 terms). However, I can not plot the series because the whole series is stored in the variable sys_sum. Can someone please help me plotting the series?
Code:
clc; clear all; close all;
syms x k L n
evalin(symengine,'assume(k,Type::Integer)');
%Obtain an and bn
a = @(f,x,k,L) int(f*cos(k*pi*x/L)/L,x,-L,L);
b = @(f,x,k,L) int(f*sin(k*pi*x/L)/L,x,-L,L);
%Fourier Series is calculated
fs = @(f,x,n,L) a(f,x,0,L)/2 + ... %a0/2 a0=an in the interation number 0 [k or n = 0]
symsum(a(f,x,k,L)*cos(k*pi*x/L) + b(f,x,k,L)*sin(k*pi*x/L),k,1,n); %+an*cos(nwt)+bn*sin(nwt)
f = x %Function
pretty(fs(f,x,5,pi)); %fs(f(t), x, n, T) ----- fs(function, variable x, number of terms, period)
sys_sum = fs(f,x,5,pi);
Accepted Answer
More Answers (0)
Categories
Find more on Calculus in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!