Below are 10 tough questions that require a deep understanding. Give detailed illustrations for each.

1.Given a code syms n; ztrans(2^n, z) determine the output.

2.What is the term that refers to the convolution of a discrete signal by itself?

3.You can represent a continuous signal as the product of an impulse function and itself. True or false?

4.Determine the output of the code cconv ([1 2], [0 1 0])

5.What is determined by the R.O.C. of impulse function?

6.What is the range of the bilateral Z- transform?

7.Determine the R.O.C of a unit step function.

8.Describe the relationship between z- transform and the laplace transform of a function.

9.The point <0 in a z plane lies what part of circle |z| =1?

10.Given the relation z=e^sT, determine T?