## Thursday, April 17, 2008

### [MT 5] PSD of ramp-like random processes

In the same way as [MT 4] we can consider single "steps" of a different form. Most relevant for our CSK fluctuation models are sawtooth-like pulses of the form

$s(t)=\begin{cases}&space;0&space;&&space;\text{&space;if&space;}&space;x<0&space;&space;\\&space;&space;t&space;&&space;\text{&space;if&space;}&space;0\leq&space;x\leq&space;1&space;&space;\\&space;&space;2-t&space;&&space;\text{&space;if&space;}&space;1\leq&space;x\leq2&space;&space;\\&space;&space;0&space;&&space;\text{&space;if&space;}&space;x>2&space;&space;&space;\end{cases}$

$s(\omega)=[4&space;\cos(\omega)&space;\sin^2(\omega/2)]&space;\;&space;\frac{1}{\omega^2}$