# sum for a chirp signal

I have a chirp signal. In Matlab, the command is $$s=chirp(t,f0,t1,f1)$$. I make the following sum with Matlab: $$y=rand(1,size(s,2))+s;$$

Here is my question: What is the theoritical equation for $$y$$? I know the expression of $$s$$.

• The equation you are looking for is $y = \alpha x + \beta \mathcal{U}(u,v)$ where $\alpha, \beta$ depend on the relative powers of the two sequences and $u,v$ determine the range of rand... Also, $x$ you seem to have a good idea of (the chirp function). But...is this really what your question is about (?). – A_A Feb 7 at 12:37
• the use of rand and not randn is unusual – Stanley Pawlukiewicz Feb 7 at 13:58