Let the signal () = 7 + 3 cos(. /5) + 2 cos(2. /5),

1- Generate 11 samples of the discrete signal.

2- What is the number of samples per period?

3- Generate the samples of one period only and represent the signal graphically.

4- Compute the power and the energy of the discrete signal.

5- Let () = () + 0.4( 2) a linear time invariant system, prove the linearity of the system.

6- compute the output of the filter h if the discrete signal x(n) is applied at the input; () = () ().

7- What is the number of samples of the signal y(n)?

8- Discuss the stability of the system h(n).

9- Write the differential equation of the system

10- Sketch the block box diagram of the system