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TELECOMMUNICATIONS

TELECOMMUNICATIONS. Dr. Hugh Blanton ENTC 4307/ENTC 5307. Solutions to Test 1. 1. Definitions. RF—Implies the frequencies where the wavelength, l , becomes equal or smaller than the physical components in the circuits.

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TELECOMMUNICATIONS

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  1. TELECOMMUNICATIONS Dr. Hugh Blanton ENTC 4307/ENTC 5307

  2. Solutions to Test 1

  3. 1. Definitions • RF—Implies the frequencies where the wavelength, l, becomes equal or smaller than the physical components in the circuits. • Continuous—A signal which can take an infinite number of different values between a minimum and a maximum. Dr. Blanton - ENTC 4307 - Solution_Test_1 3

  4. Discrete—A signal which can take only a finite number of different value. • Wireless—A term used to describe telecommunications in which electromagnetic waves (rather than some form of wire) carry the signal over part or all of the communication path. Dr. Blanton - ENTC 4307 - Solution_Test_1 4

  5. Random—A rule that assigns one and only one numerical value to each sample point in a random experiment. • Deterministic—A model where a set inputs always produce the same outputs. Dr. Blanton - ENTC 4307 - Solution_Test_1 5

  6. 2. Complex Numbers a. Express z1 and z2 in polar form. b. Find | z1 | and | z2 | and calculate the product z1 z2 and the ratio z1 / z2 in polar form. Dr. Blanton - ENTC 4307 - Solution_Test_1 6

  7. 3. RF The presence of the transmission line can be ignored when: a. l = 0.1 m, f = 1 GHz transmission line cannot be ignored! b. l = 1 m, f = 1.8 GHz transmission line cannot be ignored! Dr. Blanton - ENTC 4307 - Solution_Test_1 7

  8. 3. RF c. l = 0.01 m, f = 0.9 GHz transmission line cannot be ignored! d. l = 5 cm, f = 5.4 GHz transmission line cannot be ignored! Dr. Blanton - ENTC 4307 - Solution_Test_1 8

  9. 4. Smith Chart a. Reflection coefficient (G): b. Standing wave ratio (SWR): c. Input impedance (ZIN): Dr. Blanton - ENTC 4307 - Solution_Test_1 9

  10. 4. Smith Chart d. Input admittance (YIN): e. Shortest line length Dr. Blanton - ENTC 4307 - Solution_Test_1 10

  11. 4. Smith Chart 0.144l 0.494l Dr. Blanton - ENTC 4307 - Solution_Test_1 11

  12. 5. Stub Tuning Dr. Blanton - ENTC 4307 - Solution_Test_1 12

  13. 6. Uniform Distribution Dr. Blanton - ENTC 4307 - Solution_Test_1 13

  14. pX(x) ½ ⅜ ⅛ x 1 2 3 7. PDF Dr. Blanton - ENTC 4307 - Solution_Test_1 14

  15. 8. Signal r(t) = s(t) + n(t) s(t) = 5 cos(2p x 1000t )+ 10cos (2p x 1100t) noise n(t) is white noise with power No = 0.05 watt/Hz passband between 990 Hz and 1100 Hz Dr. Blanton - ENTC 4307 - Solution_Test_1 15

  16. R x(t) C 9. RC • The output power spectral density is the input density multiplied by the square of the magnitude of the transfer function: Note the Fourier transform pair: Dr. Blanton - ENTC 4307 - Solution_Test_1 16

  17. Dr. Blanton - ENTC 4307 - Solution_Test_1 17

  18. Dr. Blanton - ENTC 4307 - Solution_Test_1 18

  19. H(f) 1 f -fm fm 10. Ideal Filter Dr. Blanton - ENTC 4307 - Solution_Test_1 19

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