how do I plot the signal x(t)=t^2 for -2<=abs(t)<=2 and x(t)=0 for 2<=abs(t)<=4, with period To=8??

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how do I plot the signal x(t)=t^2 for -2<=abs(t)<=2 and x(t)=0 for 2<=abs(t)<=4, with period To=8?? also i would like to know how to calculate the complex coefficients of the fourier series and the approximation

Answers (1)

KALYAN ACHARJYA
KALYAN ACHARJYA on 8 Jun 2023
First Way:
To meet your professor's expectations, you can code by incorporating conditional statements or utilizing the if-else function.
  1. If else or Conditional Statements
  2. Plot
Other way:
syms t
x_t=piecewise(-2<=abs(t) | abs(t)<=2,t.^2,2<=abs(t) | abs(t)<=4,0);
t_data=-8:0.01:8;
x_data=subs(x_t,t,t_data);
plot(t_data,x_data)
  1 Comment
Dimitrios Kyriakidis
Dimitrios Kyriakidis on 8 Jun 2023
Unfortunately, I have the r2016a version which hasn't the piecewise finction. Although the same result made with "if-else" statements would be acceptable

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