Autocorrelation function of a signal

[caesius]

Homework Statement

x(t) is a random signal taking the values 1 and -1 with equal probability in each time interval T_n of length T, i.e.

T_n : (n-1)T $$\leq$$ t $$\leqn$$ T

Find the autocorrelation function R_x($$\tau$$)

Homework Equations

From a quick glance at our notes:

R_x(t₁, t₂) = E{X(t₁)X(t₂)}

The Attempt at a Solution

That above function doesn't really make sense to me but it's all we've got. Seriously where do I start with this problem? We've just been thrown into the control section of this course with very little background. I don't even really understand what the question is saying, I can see that

T₁ : 0 $$\leq$$ t $$\leq$$ T
T₂ : T $$\leq$$ t $$\leq$$ 2T
T₃ : 2T $$\leq$$ t $$\leq$$ 3T
...

but how does that help? Isn't that just a complicated way of saying the interval is T long?

 

[lippyka]

I feel like there's something I'm missing here, but I don't know what it is. Any help would be appreciated.