MATLAB: Graphing a complex exponential

complex exponential functionsmathematics

so i am trying to graph this complex exponential and i keep getting errors in the portion of the code for the exponential(says possibly missing ')' ). the function is

 e^((i*pi)/6t)

where t is my time vector t= 0:0.1:10;

Would some mind lending a hand.

Best Answer

exp(1i*pi/6./t)

exp(1i*pi/6.*t)

depending on whether the t is intended to be in the numerator or denominator

Related Solutions

MATLAB: How to take an integral of a matrix

Hi Radik,

I assume you basically want to integrate each element in the resulting product matrix.

Lots of inner and outer products here. Looking at the overall product, R*R' is (row) x (col), a scalar inner product, so you can pull that out as an overall factor [where Matlab uses ' instead of the * that is in the formula]. The quantity

G = F*inv(exp(i*x)*I-A-B*F)*B

is (row) x (matrix) x (col) so it is also a scalar. Now that R*R' is out front, one can pull out G*G' and all that is left is T*T', which is the outer product (col) x (row). It's a matrix of rank 1. All together you have

(T*T')*(R*R')* Integral(G*G')dx

so you only have to integrate a scalar function of x. As Walter pointed out, in general it's better to use

G = F*( (exp(i*x)*I-A-B*F)\B )

instead of inv, but for a 2x2 it probably doesn't matter too much.

MATLAB: Plotting a complex exponential, exp(i*x), in 3D

This approximates it:

t = linspace(0, 2.5, 250);
f = exp(2*pi*4/2.5*1i*t);
figure(1)
plot3(t, real(f), imag(f), 'LineWidth',2)
hold on
plot3(t, real(f), zeros(size(t))-1.5)
plot3(t, zeros(size(t))-2, imag(f))
hold off
grid on
axis([-1  3    -2  2    -1.5  1.5])
view([-125  30])
xlabel('Time', 'Rotation',-30)
ylabel('Real Axis', 'Rotation',10)
zlabel('Imag Axis')

If you want to add the labels, see the documetation for the text function.

Best Answer

Related Solutions

MATLAB: How to take an integral of a matrix

MATLAB: Plotting a complex exponential, exp(i*x), in 3D

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