1. i. Show that given a linear network with a transfer function H(f), the output response is given by y(t) = v(t) *h(t) where v(t) is the input to the network and h(t) its impulse response. [4 marks] ii. A linear network has a transfer function given by H(f) =[1+2cos 15t +3cos 10t]exp(-jwta). Derive the output of the network for an input vi(t) using: (a) The Convolution method. [9 marks] (b) The Transform method. [7 marks]