# Inverse fourier transform

## Homework Statement

I cant figure out what the limits of integration should be;

if a transfer function is given as follows:
h(ω)=1 if 1<|ω|<2, 0 otherwise

1) find the impulse response

2) if the input is white noise of intensity σ² find the variance of the output signal

3)state with reasons if the output process is stationary and continuous and differentiable in the mean square sense