A signal x(t) = sinc (αt) where α is a real constant is the input to a Linear Time Invariant system whose impulse response h(t) = sinc (βt), where β is a real constant. If min (α , β) denotes the minimum of α and β and similarly, mas (α , β) denotes the maximum of α and β , and K is a constant, which one of the following statements is true about the output of the system?
1
It will be of the form Ksinc (γt) where γ = min (α , β)
2
It will be of the form Ksinc (γt) where γ = max (α , β)
3
It will be of the form Ksinc (α)
4
It can not be a sinc type of signal