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# Ch03

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### Ch03

1. 1. Chapter 3 Data and Signals3.1
2. 2. Note To be transmitted, data must be transformed to electromagnetic signals.3.2
3. 3. 3-1 ANALOG AND DIGITALData can be analog or digital. The term analog data refersto information that is continuous; digital data refers toinformation that has discrete states. Analog data take oncontinuous values. Digital data take on discrete values. Topics discussed in this section: Analog and Digital Data Analog and Digital Signals Periodic and Nonperiodic Signals3.3
4. 4. Note Data can be analog or digital. Analog data are continuous and take continuous values. Digital data have discrete states and take discrete values.3.4
5. 5. Note Signals can be analog or digital. Analog signals can have an infinite number of values in a range; digital signals can have only a limited number of values.3.5
6. 6. Figure 3.1 Comparison of analog and digital signals3.6
7. 7. Note In data communications, we commonly use periodic analog signals and nonperiodic digital signals.3.7
8. 8. 3-2 PERIODIC ANALOG SIGNALSPeriodic analog signals can be classified as simple orcomposite. A simple periodic analog signal, a sine wave,cannot be decomposed into simpler signals. A compositeperiodic analog signal is composed of multiple sinewaves. Topics discussed in this section: Sine Wave Wavelength Time and Frequency Domain Composite Signals Bandwidth3.8
9. 9. Figure 3.2 A sine wave3.9
10. 10. Note We discuss a mathematical approach to sine waves in Appendix C.3.10
11. 11. Figure 3.3 Two signals with the same phase and frequency, but different amplitudes3.11
12. 12. Note Frequency and period are the inverse of each other.3.12
13. 13. Figure 3.4 Two signals with the same amplitude and phase, but different frequencies3.13
14. 14. Table 3.1 Units of period and frequency3.14
15. 15. Note Frequency is the rate of change with respect to time. Change in a short span of time means high frequency. Change over a long span of time means low frequency.3.15
16. 16. Note If a signal does not change at all, its frequency is zero. If a signal changes instantaneously, its frequency is infinite.3.16
17. 17. Note Phase describes the position of the waveform relative to time 0.3.17
18. 18. Figure 3.5 Three sine waves with the same amplitude and frequency, but different phases3.18
19. 19. Example 3.6 A sine wave is offset 1/6 cycle with respect to time 0. What is its phase in degrees and radians? Solution We know that 1 complete cycle is 360°. Therefore, 1/6 cycle is3.19
20. 20. Figure 3.6 Wavelength and period3.20
21. 21. Figure 3.7 The time-domain and frequency-domain plots of a sine wave3.21
22. 22. Note A complete sine wave in the time domain can be represented by one single spike in the frequency domain.3.22
23. 23. Note If the composite signal is periodic, the decomposition gives a series of signals with discrete frequencies; if the composite signal is nonperiodic, the decomposition gives a combination of sine waves with continuous frequencies.3.23
24. 24. Figure 3.9 A composite periodic signal3.24
25. 25. Figure 3.10 Decomposition of a composite periodic signal in the time and frequency domains3.25
26. 26. Note The bandwidth of a composite signal is the difference between the highest and the lowest frequencies contained in that signal.3.26
27. 27. Figure 3.16 Two digital signals: one with two signal levels and the other with four signal levels3.27
28. 28. Figure 3.18 Baseband transmission3.28
29. 29. Note A digital signal is a composite analog signal with an infinite bandwidth.3.29
30. 30. 3-4 TRANSMISSION IMPAIRMENTSignals travel through transmission media, which are notperfect. The imperfection causes signal impairment. Thismeans that the signal at the beginning of the medium isnot the same as the signal at the end of the medium.What is sent is not what is received. Three causes ofimpairment are attenuation, distortion, and noise. Topics discussed in this section: Attenuation Distortion Noise3.30
31. 31. Figure 3.25 Causes of impairment3.31
32. 32. Figure 3.26 Attenuation3.32
33. 33. Figure 3.27 Decibels for Example 3.283.33
34. 34. Figure 3.28 Distortion3.34
35. 35. Figure 3.29 Noise3.35
36. 36. 3-5 DATA RATE LIMITSA very important consideration in data communicationsis how fast we can send data, in bits per second, over achannel. Data rate depends on three factors: 1. The bandwidth available 2. The level of the signals we use 3. The quality of the channel (the level of noise) Topics discussed in this section: Noiseless Channel: Nyquist Bit Rate Noisy Channel: Shannon Capacity Using Both Limits3.36
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