Determine the confolution of f with itself where f is: f(t) = 1 for ltl<1 and 0 everywhere else Then deduce that: ∫-∞∞ sin2ω/ω2 dω = ∏ Fouriertransform of f gives: f(ω) = 2/√(2∏) sin(ω)/ω and using the convolution theorem gives: f*f = 4/√(2∏) sin2(ω)/ω2 But I'm clueless of what to do from this point. Should I evaluate the convolution integral and equate that to the above? In that case we have: f*f = ∫-∞∞ f(τ)f(t-τ) dτ But how do I evaluate that? I can see that τ must be between -1 and 1. Thus t must be between -2 and 2? But what does that make the integral look like?