Exercise 1: Let the signal x(n) = 7+ 3 cos(it.n/5) + 2 cos(21.n/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 h(n) = 8(n) + 0.48(n - 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; y(n) = h(n) * x(n). 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. Exercise 1: Let the signal x(n) = 7+ 3 cos(it.n/5) + 2 cos(21.n/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 h(n) = 8(n) + 0.48(n - 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; y(n) = h(n) * x(n). 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