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Where the transmission of 1s and 0s are equiprobable, (the probability of either a 1 or 0 occurring being 1/2 , rather like the probability of heads or tails of a the toss of a fair coin) the LLR becomes: LLR loge a p(r>1) p(r>0) b loge p(r/0)

30 30 33 34

11 12 13

(11.24)

34 35 35 36 36 38

loge p(r/1)

91 97 105

2 1 0

38 40

(16.8)

41 44 44

For NTSC analog TV, (see Sec. 9.5) Lact 483, L 525, a 4/3 Flfb 30. With K 0.7. Calculate the highest video frequency.

105 105

Digital TV Parameters as used in Eq. (16.8) L 525 525 525 525 525 525 525 525 525 525 525 525 750 750 750 1125 1125 1125 Lact 480i 480p 480p 480p 480i 480p 480p 480p 480i 480p 480p 480p 720p 720p 720p 1080i 1080p 1080p Flfb 1.13 1.13 1.13 1.13 1.13 1.13 1.13 1.13 1.22 1.22 1.22 1.22 1.29 1.29 1.29 1.15 1.15 1.15 Aspect ratio a 4:3 4:3 4:3 4:3 4:3 4:3 4:3 4:3 16:9 16:9 16:9 16:9 16:9 16:9 16:9 16:9 16:9 16:9 F, Frames per second 30 24 30 60 30 24 30 60 30 24 30 60 24 30 60 30 24 30

4.4 Remote Controlled Test Bench 4.5 Summary 4.6 Exercises 5 Random Roaming 5.1 What Is Random Roaming 5.2 Some Programming Constructs

Format type SDTV EDTV EDTV EDTV EDTV EDTV EDTV EDTV EDTV EDTV EDTV EDTV HDTV HDTV HDTV HDTV HDTV HDTV

14

47 47 49 51 52 52

NOTES: HDTV high-definition television; SDTV standard definition television; EDTV enhanced definition television; p progressive scanning; i interlaced scanning. SOURCES: Booth, 1999; www.timefordvd.com, 2004; Maxim/Dallas, 2001.

0.7 2

53 54 54

110 111

16 9

16.1. Referring to Fig. 16.1, calculate (a) the total number of transponders broadcasting from each of the orbital positions shown and (b) the total number of transponders in use by each service provider. 16.2. The [EIRP] of a 240-W transponder is 57 dBW. Calculate the approximate gain of the antenna. 16.3. The transponder in Prob. 16.2 is switched to 120 W. Calculate the new [EIRP], assuming that the same antenna is used. 16.4. Draw accurately to scale the transponder frequency plan for the DBS transponders 5, 6, and 7 for uplink and downlink.

57 58

15

16.5. Calculate the total bit rate capacity available at each of the orbital slots for each of the service providers listed in Fig. 16.1. State any assumptions made. 16.6. Calculate the bandwidth required to transmit a SDTV format having a resolution of 704 480 pixels at 30 frames per second. 16.7. The R, G, and B colors in Eq. (16.2) are restored by the matrix multiplication

61 61 62

0 0.344136 1.772

where the 3 3 matrix is M [the inverse of M in Eq. (16.2)]. Verify that this matrix multiplication is correct. 16.8. Briefly describe the video compression process used in MPEG-2.

122 123

5.6 Summary 5.7 Exercises 6.1 6.2 6.3 6 Debugging Before You Program Plan Plan Plan Debugging Philosophy

16.9. Explain what is meant by masking in the context of audio compression. Describe how MPEG-1 utilizes the phenomenon of masking to achieve compression. 16.10. Using the overall codes rates (Mead, 2000) given in Sec. 16.8 and assuming a 40-Mb/s transponder, calculate the payload bit rate and the overhead for the low-power and high-power transponders. 16.11. Plot antenna gain as a function of diameter for a paraboloidal reflector antenna for antenna diameters in the range 45 to 80 cm. Use a frequency of 12.5 GHz. 16.12. Assuming that the rms tolerance can be held to 0.2 percent of the diameter in antenna manufacture, calculate the reduction in gain that can be expected with antennas of diameter (a) 46 cm, (b) 60 cm, and (c) 80 cm. 16.13. Calculate the gain and 3-dB beamwidth for antennas of diameter 18, 24, and 30 in. at a frequency of 12.5 GHz. Assume that the antenna efficiency is 0.55 and that the rms manufacturing tolerance is 0.25 percent of diameter. 16.14. A DBS home receiver is being installed at a location 40 N, 75 W to receive from a satellite cluster at 61.5 . Calculate the look angles for the antenna. It is hoped to use an 18-in antenna, the antenna efficiency being 0.55, and the effect of surface irregularities may be ignored. The system noise temperature is 200 K. The downlink frequency may be taken as 12.5 GHz, the [EIRP] as 55 dBW, and the transponder bit rate as 40 Mb/s. Miscellaneous transmission losses may be ignored. Calculate the received clear sky [Eb/N0], and state whether this will make for satisfactory reception.