Consider an LTI system with two inputs, as depicted in Figure P6.55. Let h1[n] and h2[n]...

Consider an LTI system with two inputs, as depicted in Figure P6.55. Let h₁[n] and h₂[n] be the impulse responses from nodes 1 and 2, respectively, to the output, node 3. Show that if x₁[n] and x₂[n] are uncorrelated, then their corresponding outputs y₁[n] and y₂[n] are also uncorrelated.