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tones and short tones are used in combination to determine alphanumeric characters A human operator either writes down the message or types it on a typewriter Ships at sea used Morse code transmission and receivers to communicate with shore stations and other ships Long-distance communications were realized using such techniques quite reliably Marine radio used Morse code for ship safety until recently Morse code marine radio has been terminated and ships at sea no longer require a quali ed operator on board Now, high-speed satellite communications systems operating with digitally coded message packets provide marine communications
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Because digital systems operate in a two-state manner, digital communications are similar to a conversation in which one can ask only yes or no questions Because two states can be described by two voltage levels, such as 0 volts and 1 volt corresponding to a binary 0 and binary 1, then a train of pulses can describe a sequence of binary numbers It is these pulse sequences that describe digitally encoded alphanumeric characters A pulse train of 0-volt (binary zero) and 1-volt (binary one) pulse sequences transmitted through a wire will have a dc level that is positive and varies with time Therefore, reworking the digital pulse stream to a better form will save transmitting power levels through a wire or cable Two types of digital sources communicating through a communications channel are shown in Figure 5-1 In Figure 5-1a the communications channel is digital and in Figure 5-1b, the communications channel is analog These types are essentially the methods used for computer communications through the telephone system 5111 As mentioned earlier, digital systems are based on a two-symbol binary numbering system in which sequences of pulses of voltage levels correspond to binary digits In this system, there is a direct relationship between a decimal magnitude and a binary magnitude Thus, one can convert from one to the other, as shown in Figure 5-2 It is this relationship between the decimal and binary numbering systems that allows the analog value to be converted to a digital (binary) value Analog-to-digital converters basically take an analog time-varying electrical signal, sample it, and convert each slice or sample to a digital number representing the amplitude of the sample Figure 5-3 describes this process
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Figure 5-1 Digital communication examples
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Digital signal receiver
Computer or file server
Matches signal to channel
Decodes digital data to the receiver
Computer/ receiver
Digital signal source
Modem
Analog comm channel
Modem
Digital signal receiver
Converts digital signal for transmission on an analog communication channel
Converts signal to a proper digital signal
Computer/ receiver
Figure 5-2 Decimal to binary conversion
For the decimal quantity of 24, the digital number corresponding to 24 is computed as follows using the scale shown below: Most signi cant bit 7 6 5 4 Least signi cant bit 3 2 1 0 Bit number
27 26 25 24 23 22 21 20 Value 128 64 32 16 8 4 2 1 If all 8 bits (0 7) are used to describe decimal 24: 16 8 24 0001100
It should be noted that each sample value is held from the sample signal to the next sample During this time, the ramp signal is still increasing, resulting in an error in voltage value between samples Increasing the sampling rate, thus decreasing sample time, will result in a smaller error Notice there is a 4-bit digital number representing each sample; doubling the sample rate will double the number of samples and the samples per second
Digital Technology and Cable System Applications
Figure 5-3 A voltage ramp signal in analog and digital form
V max
10 V 9 8 7 6 5 4 3 2 1
Sample signal often referred to as a PAM signal, where PAM is pulse-amplitude modulation
Sample signal 1 2 3 4 5 6 7 8 9 10 Binary number of sample value LS B 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 0 0 MS B 0 0 0 0 0 0 0 1 1 1 1 2 3 4 5 6 7 8 9 10
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