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CE 4228 Data Communications and Networking
Transmission Techniques
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Transmission Techniques – Outline
Digital data/digital signals Analog data/analog signals Digital data/analog signals Analog data/digital signals
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Data and Signals Data and Signals Analog Signals Digital Signals
Analog Data Baseband/Modulation Codec Digital Data Modem Encoding
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Digital Transmissions
Treatment of Signals Treatment of Signals Analog Transmissions Digital Transmissions Analog Signals Amplifiers May use repeaters Digital Signals Not used Repeaters
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Digital Data/Digital Signals
Discrete, discontinuous voltage pulses Each pulse is a signal element Binary data encoded into signal elements
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Coding Schemes – Terminologies
Unipolar All signal elements have same sign Polar One logic state represented by positive voltage, the other by negative voltage Data rate Rate of data transmission in bits per second Duration or length of a bit Time taken for a transmitter to emit a bit
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Coding Schemes – Terminologies
Modulation rate Rate at which the signal level changes Measured in baud Signal elements per second Mark and space Binary 1 and binary 0 respectively
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Coding Schemes – Interpretations
Need to know Timing of bits When they start and end Signal levels Factors affecting successful signal interpretations Signal to noise ratio Data rate Bandwidth
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Coding Schemes – Comparison
Bandwidth Time and frequency reciprocal relationship The smaller the pulse width, the larger the bandwidth of the signal pulse Since a digital signal is made up of signal pulses of the same duration, its bandwidth is the same as the bandwidth of a single signal pulse Therefore, the bandwidth of a digital signal is completely determined by the signal pulse it uses The pulse width and pulse shape
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Coding Schemes – Comparison
Signal spectrum Lack of high frequencies reduces required bandwidth Lack of DC component allows AC coupling via transformer, providing isolation Concentrate power in the middle of the bandwidth Clocking Synchronizing transmitters and receivers External clock Sync mechanism based on signals
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Coding Schemes – Comparison
Error detection Can be built into signal encoding Signal interference and noise immunity Some codes are better than others Cost and complexity Higher signal rate leads to higher costs Some codes require signal rate greater than data rate
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Coding Schemes Unipolar Biphase Multilevel binary Scrambling NRZ-L
Non-return-to-zero level NRZI Non-return-to-zero inverted Biphase Manchester Differential Manchester Multilevel binary Bipolar-AMI Pseudoternary Scrambling B8ZS HDB3
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Coding Schemes – NRZ-L Non-return-to-zero level
Two different voltages represent 0 and 1 Voltage constant during bit interval No transition, no return to zero voltage Absence of voltage for zero, constant positive voltage for one More often, negative voltage for one value and positive for the other
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Coding Schemes – NRZI Non-return-to-zero inverted
Invert on ones Constant voltage pulse for duration of bit Data encoded as presence or absence of signal transition at beginning of bit time Transition, from low to high or high to low, denotes a binary 1 No transition denotes binary 0 An example of differential encoding
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Coding Schemes – Differential
Data represented by changes rather than levels More reliable detection of transition rather than level In complex transmission layouts, it is easy to lose sense of polarity
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Coding Schemes – NRZ
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Coding Schemes – NRZ Pros Cons Used for magnetic recording
Easy to engineer Make good use of bandwidth Cons DC component Lack of synchronization capability Used for magnetic recording Not often used for signal transmissions
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Coding Schemes – Bipolar-AMI
Bipolar alternate mark inversion Multilevel binary Use more than two levels Zero represented by no line signal One represented by positive or negative pulse One pulses alternate in polarity No loss of sync if a long string of ones Zeros still a problem No net DC component Lower bandwidth Easy error detection
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Coding Schemes – Pseudoternary
Multilevel binary One represented by absence of line signal Zero represented by alternating positive and negative No advantage or disadvantage over bipolar-AMI
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Coding Schemes – Bipolar
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Coding Schemes – Bipolar
Not as efficient as NRZ Each signal element only represents one bit In a 3 level system could represent log23 = 1.58 bits Receiver must distinguish between three levels +A, −A, 0 Require approximately 3dB more signal power for same probability of bit error
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Coding Schemes – Manchester
Biphase Transition in middle of each bit period Transition serves as clock and data Low to high represents one High to low represents zero Used by IEEE 802.3
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Coding Schemes – Manchester
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Coding Schemes – Diff Manchester
Differential Manchester Mid-bit transition is clocking only Transition at start of a bit period represents zero No transition at start of a bit period represents one Differential encoding scheme Used by IEEE 802.5
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Coding Schemes – Diff Manchester
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Coding Schemes – Biphase
Cons At least one transition per bit time and possibly two Maximum modulation rate is twice of NRZ Require more bandwidth Pros Synchronization on mid-bit transition Self clocking No DC component Error detection Absence of expected transition
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Coding Schemes – Modulation Rate
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Coding Schemes – Scrambling
Use scrambling to replace sequences that would produce constant voltage Filling sequence Must produce enough transitions to sync Must be recognized by receiver and replaced with original Same length as original No DC component No long sequences of zero level line signal No reduction in data rate Error detection capability
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Coding Schemes – B8ZS Bipolar with 8 zeros substitution
Based on bipolar-AMI If octet of all zeros and last voltage pulse preceding was positive encode as 000+−0−+ If octet of all zeros and last voltage pulse preceding was negative encode as 000−+0+− Cause two violations of AMI code Unlikely to occur by noise Receiver detects and interprets as octet of all zeros
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Coding Schemes – HDB3 High density bipolar 3 zeros
Based on bipolar-AMI String of four zeros replaced with one or two pulses
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Coding Schemes – Scrambling
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Coding Schemes – Spectral Density
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Coding Schemes – Summary
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Analog Data/Analog Signal
Baseband or modulation Analog signals may need modulation Higher frequency could be transmitted more efficiently Permit frequency division multiplexing Spectrum relocation Types of modulation Amplitude Frequency Phase
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Modulation – AM Amplitude modulation
DC component added at baseband to prevent loss of information Modulation index nA < 1 x(t) ≤ 1 → nAx(t) = m(t) Bandwidth = 2B B = bandwidth of m(t) DSB, SSB, VSB
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Modulation – PM/FM Angle modulation φ(t) = nPm(t) for PM
φ'(t) = nFm(t) for FM Carson’s rule Bandwidth = 2(β+1)B FM typical bandwidth ≈ 14B Less susceptible to noise
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Modulation
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Digital Data/Analog Signal
Wireless Public telephone system 300 Hz to 3400 Hz Use modem Amplitude shift keying Frequency shift keying Phase shift keying
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Modulation
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Modulation – ASK Amplitude shift keying
Values represented by different amplitudes of carrier Presence and absence of carrier is used OOK Susceptible to sudden gain changes Inefficient Up to 1200 bps on voice grade lines Used over optical fiber as IM
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Modulation – FSK Frequency shift keying
Most common form is binary FSK or BFSK Two binary values represented by two different frequencies near carrier Less susceptible to error than ASK Up to 1200 bps on voice grade lines High frequency radio Even higher frequency on LANs using co-ax
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Modulation – FSK
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Modulation – Multiple FSK
More than two frequencies used More bandwidth efficient More prone to error Each signaling element represents more than one bit
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Modulation – PSK Phase shift keying Binary PSK Differential PSK
Phase of carrier signal is shifted to represent data Binary PSK Two phases represent two binary digits Differential PSK Phase shifted relative to previous transmission rather than some reference signal
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Modulation – Differential PSK
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Modulation – Quadrature PSK
More efficient use by each signal element representing more than one bit Shifts of /2 or 90o Each element represents two bits Offset QPSK Orthogonal QPSK Delay in Q stream
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Modulation – OQPSK Modulator
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Modulation – OQPSK Waveforms
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Modulation – Multilevel PSK
Can use 8 phase angles or more and have more than one amplitude Modulation rate D in baud Data rate R in bps D = R/log2M For 8-ary PSK, 1 symbol represents 3 bits M = 8 1 symbol/second = 1 baud = 3 bps
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Modulation – QAM Quadrature amplitude modulation
Combination of ASK and PSK Logical extension of QPSK Used on asymmetric digital subscriber line or ADSL and some wireless Send two different signals simultaneously on same carrier frequency Use two copies of carrier, one shifted 90° Each carrier is ASK modulated Two independent signals over same medium Demodulate and combine for original binary output
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Modulation – QAM Modulator
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Modulation – QAM Levels
Two level ASK Each of two streams in one of two states Four state system Essentially QPSK Four level ASK Combined stream in one of 16 states 64 and 256 state systems have been implemented Improved data rate for given bandwidth Increased potential error rate
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Modulation – Constellations
Show amplitudes and phases of modulation Similar to phasor ASK BPSK QPSK 8-ary PSK 16-ary QAM Minimize BER by maximizing the spacing between signals points
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Modulation – Modems V.32 V.32 bis QAM with a 32-point constellation
4 data bits and 1 parity bit per symbol 2400 baud 9600 bps V.32 bis QAM with a 128-point constellation 6 data bits and 1 parity bit per symbol 14.4 kbps
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Modulation – Modems V.34 V.34 bis
QAM with a 960-point constellation 28.8 kbps V.34 bis QAM with a 1664-point constellation 33.6 kbps Shannon limit for the telephone system is about 35 kbps V.90 use different technique
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Modulation – Coherent Systems
Receiver must synchronize the phase of carrier in order to retrieve data Non-coherent systems Synchronization not required Coherent systems are much more costly, but offer much better performance Lower BER ASK and FSK can be either one PSK and QAM must be coherent since data are carried by the carrier phase
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Modulation – Bandwidth
BWASK = (1+r)R BWFSK = (1+r)R + ΔF BWMPSK = (1+r)R/log2M 0 < r < 1 ΔF = f1 − f0 ASK and PSK bandwidth directly related to bit rate FSK bandwidth related to data rate for lower frequencies, but to offset of modulated frequency from carrier at high frequencies In the presence of noise, bit error rate of PSK and QPSK are about 3 dB superior to ASK and FSK
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Modulation – Performance
Comparison of data rate to bandwidth ratio Bandwidth efficiency
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Analog Data/Digital Signal
Digitization Conversion of analog data into digital data Digital data can then be transmitted using NRZ-L or other codes Digital data can also be converted to analog signal Analog to digital conversion done using a codec Pulse code modulation Delta modulation
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Digitization
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PCM Pulse code modulation 3 steps Sampling Quantizing Encoding
Discretize time Quantizing Discretize value Encoding Digitize value
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PCM – Sampling Periodical sampling
Taking uniformly spaced samples from an analog signal waveform Intuitively, if the sampling rate is high enough, or T is small enough, the information contained in the analog signal is well represented by its samples T
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PCM – Sampling How high is high enough Sampling theorem
Nyquist, 1928 An analog signal of bandwidth B Hz can be completely reconstructed from its samples by filtering if the sampling rate is larger than 2B samples per second fS > 2B, T < 1/2B 2B is called Nyquist rate
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PCM – Sampling If a signal is sampled at regular intervals at a rate higher than twice the highest signal frequency, the samples contain all the information of the original signal Voice data limited to below 4000 Hz Require 8000 samples per second Analog samples called PAM Pulse amplitude modulation
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PCM – Quantizing Each sample is assigned to discrete value
Quantizing resembles rounding, which rounds each sample to pre-specified discrete values dubbed quantum levels Number of levels related to number of bits used in encoding 8-bit sample gives 256 levels
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PCM – Quantizing Quantization error or noise
Approximations mean it is impossible to recover the exact original signal The larger the step size, the worse the quantization noise, but the fewer the steps needed to cover a given input range Bandwidth implications Quality comparable with analog transmission
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PCM – Quantizing
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PCM – Encoding After being quantized, each sample can take on only a finite number of quantum levels each can be regarded as a logical symbol Assign bits for each quantized sample An encoding scheme is used to translate each of these symbols to a binary codeword consisting of a number of binary digits 8000 samples per second of 8 bits each gives 64 kbps
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PCM – Encoding
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PCM – D/A Process 2 steps Decoding Filtering
Quantizing cannot be reversed and thus quantization noise has to be tolerated
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PCM – Performance Good voice reproduction
128 levels PCM 7 bits/sample Voice bandwidth 4 kHz Should be 8000 × 7 = 56 kbps for PCM Data compression can improve on this Interframe coding techniques for video ADPCM Adaptive differential PCM Used in digital TV
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PCM – Nonlinear Encoding
Quantization levels not evenly spaced Reduce overall signal distortion Can also be done by companding
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PCM – Nonlinear Encoding
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PCM – Companding Channel Output signal Input signal Compress Expand Si
Sx Sy So Sy Sx Sy So Si Sx m m Compressor Expander Channel
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PCM – Companding Each of these plots shows output signal strength versus input signal strength Slope = gain The compressor ensures that signal entering the channel within the linear operating range of the channel The expander is the inverse function of the compressor and thus restores the original signal strength contrast
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PCM – Companding
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PCM – Companding Rules -law compressor A-law compressor
y = ln(1+ x)/ln(1+) is degree of compression Used in North America telephone systems Soft voices actually get amplified while strong voices are suppressed A-law compressor y = Ax/(1 + lnA) for 0 x 1/A y = (1 + lnAx)/(1+ lnA) for 1/A x 1 Used in Europe and followers
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Delta Modulation Analog input is approximated by a staircase function
Move up or down one level at each sample interval Binary behavior Function moves up or down at each sample interval
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Delta Modulation – Example
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Delta Modulation – Operation
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Transmission Techniques – Conclusion
Various types of modulation and encoding Many other variations not discussed Understanding the basic properties
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