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