How to stem plot a complex function in matlab?

Stem plot the following function[Plot the imaginary and real parts seperately]: e^(x*j*pi*) for (x>=5 && x<=11): my solution: x=5:11; y=exp(j*pi*x); figure(1); stem(x,real(y)); figure(2); stem(x,imag(y));

I got two graphs but I am not sure if there are correct. Let me know if there is a mistake or a neater way to approach it?

Answer 1

[Dimitris Kalogiros]

Hello

You can try this piece of code:

clc;
close all;

x=5:.05:11;
y=exp(1i*pi*x);

plot3(x, zeros(size(x)), zeros(size(x)), '-k'); 
xlabel('x'); ylabel('real(y)'); zlabel('imag(y)');
axis square; zoom on; grid on; hold on; 

for k=1:length(x)
    plot3([x(k) x(k)],[0 real(y(k))],[0 imag(y(k))],'-b');
    plot3(x(k), 0, 0,'b.');
    plot3( x(k), real(y(k)), imag(y(k)), 'b*');
end

hold off

It repsesents complex numbers as 3D vectors.

Personally, when I deal with complex numbers, I use to visualize them as real and imag part on the same graph:

clc;
close all;

x=5:.05:11;
y=exp(1i*pi*x);

figure; 
stem(x, real(y), 'bo'); hold on;
stem(x, imag(y), 'r*'); 
zoom on; grid on; xlabel('x'); 
legend('real', 'imaginary');
hold off