How do I draw the graph of the same function several times?

clear clc

x_t(1) = 0; 
N = 10^2;

for t = 1:N

    xlabel('t'), ylabel('x_t'), title('Random Walk')

    a = sign(randn);
    x_t(t+1) = x_t(t) + a; 
    plot(x_t,'b-')

    hold on

    pause(0.05);

end

How do I plot this same function several times? This is a random walk, every time it gets plotted I want it to look differently, which is exactly what sign(randn) does.

[KSSV]

randn generates normally distributed random numbers.

sign gives it sign..if positive +1 and if negative -1.

[Delshad Ayoubi]

Yeah, and that is why every time it's plotted it looks different, random chance for +1/-1. I just want to know how to plot it several times while retaining them.

Answer 1

[KSSV]

M = 10 ;
N = 10^2;
x_t = zeros(M,N) ;
x_t(:,1) = rand ;
for i = 1:M
    for t = 2:N

          a = sign(randn);
          x_t(i,t) = x_t(i,t-1) + a;

      end
  end

plot(x_t)
xlabel('t'), ylabel('x_t'), title('Random Walk')

It can be easily vectorised.

[Delshad Ayoubi]

I don't really understand that code very well. I'm new to programming. What is:

   x_t(:,1) = rand;?

   x_t = zeros(M,N);?

Seems very different compared with my code, isn't it possible to do a double loop or something with my and get the same results?