! Notes appended and modified by C. Rodgers to those accompanying "Data Communications and Networking" 3rd Ed. Behrouz A. Forouzan Position of the physical layer McGraw-Hill DCM555 - C. Rodgers ©The McGraw-Hill Companies, Inc., 2004 1 Physical Layer Services Chapters related to the Physical Layer Chapter 3 Signals Chapter 4 Chapter 5 Digital Transmission Analog Transmission Chapter 6 Multiplexing Chapter 7 Transmission Media Chapter 8 Circuit Switching and Telephone Network Chapter 9 High Speed Digital Access McGraw-Hill DCM555 - C. Rodgers ©The McGraw-Hill Companies, Inc., 2004 2 Note: To be transmitted, data must be transformed to electromagnetic signals. McGraw-Hill ©The McGraw-Hill Companies, Inc., 2004 3.1 Analog and Digital Analog and Digital Data Analog and Digital Signals Periodic and Aperiodic Signals McGraw-Hill DCM555 - C. Rodgers ©The McGraw-Hill Companies, Inc., 2004 3 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. McGraw-Hill ©The McGraw-Hill Companies, Inc., 2004 Figure 3.1 McGraw-Hill DCM555 - C. Rodgers Comparison of analog and digital signals ©The McGraw-Hill Companies, Inc., 2004 4 Note: In data communication, we commonly use periodic analog signals and aperiodic digital signals. McGraw-Hill ©The McGraw-Hill Companies, Inc., 2004 3.2 Analog Signals Time and Frequency Domains Composite Signals Bandwidth McGraw-Hill DCM555 - C. Rodgers ©The McGraw-Hill Companies, Inc., 2004 5 Figure 3.7 Analog Signals in the Time and Frequency domains McGraw-Hill ©The McGraw-Hill Companies, Inc., 2004 Note: A single-frequency sine wave is not useful in data communications; we need to change one or more of its characteristics to make it useful. When we change one or more characteristics of a single-frequency signal, it becomes a composite signal made of many frequencies. McGraw-Hill DCM555 - C. Rodgers ©The McGraw-Hill Companies, Inc., 2004 6 Note: According to Fourier analysis, any composite signal can be represented as a combination of simple sine waves with different frequencies, phases, and amplitudes. McGraw-Hill ©The McGraw-Hill Companies, Inc., 2004 Fourier Theory ! " $" # % & DCM555 - C. Rodgers "# ' 7 Fourier Harmonic Series Fourier Components of the Square Wave DCM555 - C. Rodgers 8 Square Wave Sawtooth Wave For these waveforms, the ratio of harmonic amplitudes to the fundamental amplitude are The practice of calling the largest amplitude “1” and scaling all other amplitudes in relation to it See VEE “Fourier - Func Gen. in Freq. & time domain ” simulation See Fourier Links Figure 3.12 McGraw-Hill DCM555 - C. Rodgers Signal corruption ©The McGraw-Hill Companies, Inc., 2004 9 Note: The bandwidth is a property of a medium: It is the difference between the highest and the lowest frequencies that the medium can satisfactorily pass. In this book, we use the term bandwidth to refer to the property of a medium or the width of a signal spectrum. McGraw-Hill ©The McGraw-Hill Companies, Inc., 2004 Figure 3.13 McGraw-Hill DCM555 - C. Rodgers Bandwidth ©The McGraw-Hill Companies, Inc., 2004 10 Example 3 If a periodic signal is decomposed into five sine waves with frequencies of 100, 300, 500, 700, and 900 Hz, what is the bandwidth? Solution McGraw-Hill ©The McGraw-Hill Companies, Inc., 2004 Figure 3.14 McGraw-Hill DCM555 - C. Rodgers Example 3 ©The McGraw-Hill Companies, Inc., 2004 11