SECTION B DISCRETE TIME SYSTEMS ANALYSIS 5. ( Given that y(k)= u(k)h(k), show that Y(z) U(z) H(z) [2 Marks] (1) Two iden
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SECTION B DISCRETE TIME SYSTEMS ANALYSIS 5. ( Given that y(k)= u(k)h(k), show that Y(z) U(z) H(z) [2 Marks] (1) Two iden
SECTION B DISCRETE TIME SYSTEMS ANALYSIS 5. ( Given that y(k)= u(k)h(k), show that Y(z) U(z) H(z) [2 Marks] (1) Two identical systems H, and Hwith impulse response (h} = (W): k 20. are cascaded as shown in Fig Q5. If the input to the first system is a step u = 1:20. a) Derive the input to the second system? [8 Marks] b) What is the output from the second system, using the z-transform? [5 Marks] c) Find the output expression for y, using the convolution principle, and compare with the results obtained in Part b) [5 Marks] u & Hi H2 Fig Q5
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