Let's say we have a random process. Let's define this Random process to be $U(t)$ = $A$ where $A$ is uniform over $[-1,1]$.
What would a few sample realizations of this random process look like? I'm trying to understand random processes (I guess because of the interval this is also a Discrete Time Process) and I think some sample graphs would really help visualize it.
For example, I am not sure if it is a graph with a straight line at $y$ = $\frac{1}{2}$ or if it should bounce back and forth between $0$ and $\frac{1}{2}$. Furthermore, would it be only positive values because we can't have negative probability?
Thanks!
Edit :
Some people have expressed that I have been unclear in my asking of the question. The question I found in the textbook I am learning from simply asks "Sketch a few sample realizations." Now looking at it, I guess that could mean one of two things: Either uniformly samples at each step as one graph below shows or uniformly sampled over the whole interval. Unfortunately, I don't exactly know what I want, but in this way I am learning. So please help me learn about random processes and how to approach them. If it helps, another part to the question is "What is a geometric interpretation of the auto correlation function?". Now to me that sounds like a graph - more specifically a vector. Is that along the lines of these "realizations" the question is talking about? Unfortunately I am giving you all the information the question contains and can't provide any more detail, but I am willing to learn!
Maybe this is what you are looking for: