Any tutor over here who is able to tackle tough questions? Here they are!

1. Explain ' Entire z-plane, except at z=' as the ROC of z- transform.

2. Given a discrete time signal x(n), determine the Z- Transform X(z).

3. Give an assumption that will determine |N-M| zeros at origin(if N>M) to be true.

4. Given that Z{x1(n)*x2(n)}= X1(z).X2(z). Solve for Z{x1(n)} and Z{x2(n)}.

5. Define the difference equation and the conditions that result in the unit step response [1.099+1.088(0.9)n.cos(/3n5.2o)]u(n)

6. Solve using inverse method the inverse {1,3/2,7/4,15/8,31/16,....} and give a condition necessary for the reverse to be efficient.

7. Given the expression k=ckej2kF0t; determine the unique characteristic of the expression.

8. When is a system said to be causal?

9. Determine in the Argand plane the hyperbola represented byz2+z2=2.

10. Solve for the inverse of (log3+i)/log2