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For more details about subjects discussed in this chapter, we recommend the following books The items in brackets [] refer to the reference list at the end of the text
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Data and signals are elegantly discussed in s 1 to 6 of [Pea92] [CouOl] gives an excellent coverage about signals in 2 More advanced materials can be found in [Ber96] [Hsu03] gives a good mathematical approach to signaling Complete coverage of Fourier Analysis can be found in [Spi74] Data and signals are discussed in 3 of [Sta04] and Section 21 of [Tan03]
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Fourier analysis frequency frequency-domain fundamental frequency harmonic Hertz (Hz) jitter low-pass channel noise nonperiodic signal Nyquist bit rate peak amplitude period periodic signal phase processing delay propagation speed
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analog analog data analog signal attenuation bandpass channel bandwidth baseband transmission bit rate bits per second (bps) broadband transmission composite signal cycle decibel (dB) digital digital data digital signal distortion
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propagation time queuing time Shannon capacity signal signal-to-noise ratio (SNR)
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sine wave throughput time-domain transmission time wavelength
SUMMARY
Data must be transformed to electromagnetic signals to be transmitted Data can be analog or digital Analog data are continuous and take continuous values Digital data have discrete states and take discrete values 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 In data communications, we commonly use periodic analog signals and nonperiodic digital signals Frequency and period are the inverse of each other Frequency is the rate of change with respect to time Phase describes the position of the waveform relative to time O A complete sine wave in the time domain can be represented by one single spike in the frequency domain A single-frequency sine wave is not useful in data communications; we need to send a composite signal, a signal made of many simple sine waves According to Fourier analysis, any composite signal is a combination of simple sine waves with different frequencies, amplitudes, and phases The bandwidth of a composite signal is the difference between the highest and the lowest frequencies contained in that signal A digital signal is a composite analog signal with an infinite bandwidth Baseband transmission of a digital signal that preserves the shape of the digital signal is possible only if we have a low-pass channel with an infinite or very wide bandwidth If the available channel is a bandpass channel, we cannot send a digital signal directly to the channel; we need to convert the digital signal to an analog signal before transmission For a noiseless channel, the Nyquist bit rate formula defines the theoretical maximum bit rate For a noisy channel, we need to use the Shannon capacity to find the maximum bit rate Attenuation, distortion, and noise can impair a signal Attenuation is the loss of a signal's energy due to the resistance of the medium Distortion is the alteration of a signal due to the differing propagation speeds of each of the frequencies that make up a signal Noise is the external energy that corrupts a signal The bandwidth-delay product defines the number of bits that can fill the link
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DATA AND SIGNALS
PRACTICE SET
Review Questions
1 What is the relationship between period and frequency 2 What does the amplitude of a signal measure What does the frequency of a signal measure What does the phase of a signal measure
3 How can a composite signal be decomposed into its individual frequencies
4 Name three types of transmission impairment
5 Distinguish between baseband transmission and broadband transmission
6 Distinguish between a low-pass channel and a band-pass channel
7 What does the Nyquist theorem have to do with communications 8 What does the Shannon capacity have to do with communications
9 Why do optical signals used in fiber optic cables have a very short wave length 10 Can we say if a signal is periodic or nonperiodic by just looking at its frequency domain plot How 11 Is the frequency domain plot of a voice signal discrete or continuous 12 Is the frequency domain plot of an alarm system discrete or continuous 13 We send a voice signal from a microphone to a recorder Is this baseband or broadband transmission 14 We send a digital signal from one station on a LAN to another station Is this baseband or broadband transmission 15 We modulate several voice signals and send them through the air Is this baseband or broadband transmission
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