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System 3 : Consider the discrete time system represented by the following difference equation: y(n) ?...

System 3 : Consider the discrete time system represented by the following difference equation:

y(n) ? x(n) ? x(n ? 2) ? 0.8y(n ?1) ? 0.64 y(n ? 2)

a) Draw the corresponding BLOCK DIAGRAM

b) Obtain the TRANSFER FUNCTION, H(z) , for this system.  

c) Calculate and plot the POLES and ZEROS of the transfer function.

d) State the FREQUENCY RESPONSE Equation ,  H(ej? ) , for this system.   

System 4 : Consider the discrete time system represented by the following difference equation:

y(n) ? x(n) ? x(n ? 2) ? 0.2y(n ?1) ? 0.04 y(n ? 2)

a) Draw the corresponding BLOCK DIAGRAM

b) Obtain the TRANSFER FUNCTION, H(z) , for this system.  

c) Calculate and plot the POLES and ZEROS of the transfer function.

d) State the FREQUENCY RESPONSE Equation ,  H(ej? ) , for this system.

Please explain clearly will rate

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