Transmitting Data over Phone Lines
PHASE MODULATION
Used for 1200bps and above
00 phase angle at start of coding element (a.k.a. in-phase, or sin signal)
1800 phase angle at start of coding element (a.k.a. out-of-phase, or cos signal)
1
0
1
So we represent
as
Transmitting Data over Phone Lines
DIFFERENTIAL PHASE MODULATION
PHASE MODULATION
^
But absolute phase angles are not easy to measure.
Insert a phase change between adjacent signal elements logic 0 a 900 (1/4 cycle) phase shift logic 1 a 2700 (3/4 cycle) phase shift
So 0100 becomes
0
0
1
0
Data is only encoded at boundaries between signalling elements Why do the the signalling elements have to be 11/2 wavelengths long?
Transmitting Data over Phone Lines
BAUD RATE
Each signal element is a “baud” After its inventor Baudot (1845-1903)
Emile Baudot
No of signal elements/s is called the baud rate
In our example, each bit occupies 1.5 cycles So 1200bps data requires 1800Hz carrier What is the baud rate? 1200 baud
Transmitting Data over Phone Lines
BAUD RATE vs. BIT RATE
BAUD RATE
BAUD RATE vs. BIT RATE
For higher speeds Keep the same carrier frequency (i.e., fcarrier = 1800Hz, still) But encode more bits per signalling element To get 2400 bps encode two bits at a time using: 00 00 phase shift 01 900 shift 11 1800 shift 10 2700 shift
carrier: 1800Hz baud rate: 1200baud bit rate: 2400bps
so 00 01 10 11 becomes:
2700
Transmitting Data over Phone Lines
DIFFERENTIAL PHASE CODING
(Back to) DIFFERENTIAL PHASE ENCODING
Coding scheme using phase shifts can be represented by phase diagrams (or constellation charts)
00 00 phase shift 01 900 shift 11 1800 shift 10 2700 shift
Angle represents phase Radial distance represents amplitude of carrier wave (only 1 amplitude used here)
Transmitting Data over Phone Lines
QUADRATURE AMPLITUDE MODULATION
QAM (QUADRATURE AMPLITUDE MODULATION)
For higher speeds, increase the number of values per signalling element For 4800bps, encode 3 bits per signal element at 1600 baud fcarrier = ?
2400Hz, if 1.5 cycles per signalling element
QAM uses both phase shifts AND amplitude
Transmitting Data over Phone Lines
Theoretical Limitations
THEORETICAL LIMITATIONS
Nyquist theorem: Max bitrate = 2 x carrier frequency = 2 x carrier frequency x log2(possible values/signal element)
x no of bits encoded by a signalling element
e.g., Max bitrate = 2 x 3000 x log2(8) = 18000bps
Fixed by legacy technology
Indefinitely incrementable?
In theory, perhaps. In practice, noise interferes
Transmitting Data over Phone Lines
Shannon-Hartley Law
SHANNON-HARTLEY LAW takes noise into account
Public Switched Telephone Network
Max bitrate = bandwidth x log2(1 + S/N)
S/N for analogue PSTN with multiple exchanges is ~1000 Depending on complexity of connection
Max bitrate = 3000 x log2(1000) = 30000bps
33.3kbps modems reached this limit
Transmitting Data over Phone Lines
56K Modems
HOW CAN MODEMS RUN AT 56K?
analogue
digital
56.6kbps modems “expect” to be used with mainly digital PSTNs only 1 analogue link - user’s modem to local exchange S/N ratio better than 1000 In fact, they often fail to achieve 56.6kbps
Transmitting Data over Phone Lines
Modem Commands
MODEM COMMANDS
Most modems obey the (de facto standard) Hayes commands All start with AT All finish with a Return
switches the modem into command mode, rather than pass-through mode.
Transmitting Data over Phone Lines
RS232
RS232
Data Circuit Terminating Equipment
Data Terminal Equipment
≤ 25 wires
Pin Circuit Mnemonic Function 2 103 TD Transmit data 3 104 RD Receive data 4 105 RTS Request to send 5 106 CTS Clear to send 6 107 DSR Data set ready 7 102 SIG Signal ground 8 109 CD Carrier detect 20 108 DTR Data terminal ready 22 125 RI Ring indicator
Transmitting Data over Phone Lines
RS232
RS232
RS232 is not meant for interconnecting DCEs directly but is commonly used for this type of communication
Minimal RS232 connection (“Null modem”)
Often connect CTS and DTR (or RTS) with a crossover, too
ADSL
ADSL
ASYNCHRONOUS DIGITAL SUBSCRIBER LINK
Asynchronous Download speed and upload speeds differ
Digital Because an analogue link is transferring digital data
Subscriber Uses the telephone network
ADSL
ADSL
BASIC TECHNOLOGY
Extends the useful life of POTS copper wires Bandwidth increased from 3kHz to 1.1MHz Divided into separate frequency bands (Discrete MultiTone signalling) Each frequency band has its own carrier, coded using QAM (2 phase values, 4 amplitudes) System adapts to S/N ratio across the frequency range Upload/download channel allocation variable
(in practice, 26 upstream channels)
upload channels
download channels
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