(Solved): Consider a sequential operation by two linear shift invariant systems (see diagram below) characte ...

Consider a sequential operation by two linear shift invariant systems (see diagram below) characterized by point spread functions $$h_1(x)$$ and $$h_2(x)$$. What is the response of the total system treated as a single system? Prove your result using either the definition of the system responses in the space domain or in the Fourier domain.