2 Digital Signal Processing

digital signal processing, معالجة الإشاراة الرقمية, transmitter, binary, signal, power, energy, output, graphically, Diracs, stability, spectrum, amplitude, phase, pseudo-random, flip-flops,

1. compute the power and the energy of the input signal

2. Calculate the channel output

3. write the output signal y(n) as a sum of Diracs

4. Represent the output of the channel graphically

5. Express the relationship between the signal length at the input of the channel and the signal length at the output.

6. Discuss the stability of the channel filter according to the poles and according to the EBSB method.

7. Prove that the signal is periodic. Calculate the period of the signal and the number of samples per period.

8. Calculate the values of the samples over a period and represent them graphically, in a set and in a table.

9. Explain how we can calculate the spectrum of the signal by the discrete Fourier algorithm TFD.

a. Comment on the symmetry property present in the spectrum. b. Discuss the impact of using finite number of samples on the result of DFT c. Check by computing the least of X entries the exactness of the given results. d. Draw the amplitude spectrum and the phase spectrum vs.

Exercise 3: let z be the output of a pseudo-random signal generator given below. The diagram shows that the input is the sum (exclusive-or) of the outputs of the two flip-flops (1 and 3).

1. Write the truth table of the exclusive-OR sum
2. If the initial state of the flip-flop outputs is (1 0 0), a. Calculate the output sequence. b. Show that the period of the sequence 2m-1, with m the number of flip-flops.
3. Calculate the circular autocorrelation of Z ... https://www.youtube.com/watch?v=HFICrDwoU34