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EEL 5718 Computer Communications
Physical layer fundamentals Chapter 3
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Outline Overview of physical layer Channel limitation
Modulation/demodulation Transmission media Communication interfaces
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Introduction
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Physical layer
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What You Need for Better Understanding
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Representation of Information
Digital representation Information that occurs naturally in digital form data files or image files Analog information: be digitized Voice Music Video Most communications networks are digital!
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Source Coding Networks are handling streams of 0’s and 1’
Source Encoding: compression, according to statistics of 0’s and 1’s, map blocks of bits to more regular “shorter” blocks! Get rid of redundancy Source Decoding: inverse of source encoding
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Channel Coding Channel Encoding: According to channel conditions, add redundancy for more efficient transmission, interleaving may be used too. Channel decoding: the inverse Observation: source encoding attempts to eliminate “useless information”, while channel encoding add “useful information”, both deal with redundancies!
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Modulation/Demodulation
Modulation: maps blocks of bits to well-defined waveforms or symbols (a set of signals for better transmission), then shifts transmission to the carrier frequency band (the band you have right to transmit) Demodulation: the inverse of modulation Demodulation vs. Detection: Detection is to recover the modulated signal from the “distorted noisy” received signals
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Physical Components Transmitter Receiver Transmission media
Guided: cable, twisted pair, fiber Unguided: wireless (radio, infrared)
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Signal Types Basic form: A signal is a time function
Continuous signal: varying continuously with time, e.g., speech Discrete signal: varying at discrete time instant or keeping constant value in certain time interval, e.g., Morse code, flash lights Periodic signal: Pattern repeated over time Aperiodic signal: Pattern not repeated over time, e.g., speech
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Continuous & Discrete Signals
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Periodic Signals
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Information Carriers s(t) = A sin (2pft+ ) * Amplitude: A * Frequency: f --- f=1/T, T---period * Phase: , angle (2pft+ )
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Varying Sine Waves
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Frequency Domain Concept
Signal is usually made up of many frequencies Components are sine waves Can be shown (Fourier analysis) that any signal is made up of component sine waves Can plot frequency domain functions Time domain representation is equivalent to frequency domain representation: they contain the same information! Frequency domain representation is easier for design
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Fourier Representation
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Addition of Signals
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Received Signals Any receiver can only receive signals in certain frequency range (channel concept), corresponding to finite number of terms in the Fourier series approximation: physically: finite number of harmonics mathematically: finite number of terms Transmitted signal design: allocate as many terms as possible in the intended receiver’s receiving range (most of power is limited in the intended receiving band)
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Spectrum & Bandwidth Spectrum: the range of frequencies contained in a signal Absolute bandwidth: width of spectrum Effective bandwidth: just BW, Narrow band of frequencies containing most of the energy 3 dB BW Percentage BW: percentage power in the band DC Component: Component of zero frequency
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Data Rate and Bandwidth
Any transmission system has a limited band of frequencies This limits the data rate that can be carried The greater the BW, the high the data rate Channel capacity (later)
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Analog vs Digital Analog: Continuous values within some interval, the transmitted signal has actual meaning, e.g., AM and FM radio Digital: Digital=DSP+Analog, raw digital bits are processed and mapped to well-known signal set for better transmission, the final transmitted signal is still analog! You could not “hear” though!
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Analog Transmission Analog signal transmitted without regard to content Attenuated over distance Use amplifiers to boost signal, equalizers may be used to mitigate the noise Also amplifies noise
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Digital Transmission Concerned with content
Digital repeaters used: repeater receives signal, extracts bit pattern and retransmits the bit pattern! Attenuation is overcome and distortion is not propagated!
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Advantages of Digital Transmission
Digital technology: low cost, can use low power Long distance transmission: use digital repeaters Capacity utilization: get rid of useless information and add useful redundancy for data protection Security & privacy: encryption Integration: treat analog and digital data similarly
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Channel Impairments Attenuation and attenuation distortion: signal power attenuates with distance Delay distortion: velocity of a signal through a guided medium varies with frequency, multipath in wireless environments Thermal noise Co-channel Interference: wireless Impulse noise (powerline communications)
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Channel Capacity Data rate is limited by channel bandwidth and channel environment (impairments) Data rate, in bits per second, is the number of bits transmitted successfully per second! Should not count the redundancy added against channel impairments! It represents how fast can bits be transmitted reliably over a given medium
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Factors Affecting Data Rate
Transmitted power (energy) Distance between transmitter and receiver Noise level (including interference level) Bandwidth
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Nyquist Capacity Nyquist BW: 2B, where B is the BW of a signal
Sampling Theorem: Any signal whose BW is B can be completely recovered by the sampled data at rate 2B samples per second Nyquist Capacity Theorem: For a noiseless channel with BW B, if the M level signaling is used, the maximum transmission rate over the channel is C = 2B log2( M) Digital Comm: symbol rate (baud rate) vs bit rate
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Shannon Capacity All channels are noisy!
1948 paper by Clyde Shannon: “A mathematical theory of communications” “The mathematical theory of communications” Signal-to-noise ratio: SNR=signal power/noise power
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Shannon Capacity (cont)
Shannon Capacity Theorem: For a noisy channel of BW B with signal-to-noise ratio (SNR), the maximum transmission rate is C = B log2 (1+SNR) Capacity increases as BW or signal power increases: Shout as you can! Some exercise: B=3400Hz, SNR=40dB C=44.8 kbps
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Shannon Capacity (cont)
Shannon Theorem does not give any way to reach that capacity Current transmission schemes transmit much lower rate than Shannon capacity Turbo codes: iterative coding schemes using feedback information for transmission and detection Sailing towards Shannon capacity!
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Modulation/Demodulation
Line coding: representation of binary bits without carrier (baseband coding) Modulation/demodulation: representation of digital bits with carrier (broadband coding) Analog to Digital Coding
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Line Coding Unipolar: all signal elements have same sign
Polar: one logic state represented by positive voltage the other by negative voltage Data rate: rate of transmitted data (bps) Bit period: time taken for transmitter to emit the bit, the duration or length of a bit Modulation rate: rate at which the signal level changes, measured in baud (symbols per sec) Mark and Space: binary 1 and Binary 0
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Schemes Non-return to Zero-Level (NRZ-L)
Non-return to Zero Inverted (NRZI) Bipolar-AMI Pseudo-ternary Manchester Differential Manchester B8ZS (see Stallings’ book) or google it HDB3 (see Stallings’ book) or google it
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Nonreturn to Zero-Level (NRZ-L)
Two different voltages for 0 and 1 bits Voltage constant during bit interval no transition, i.e. no return to zero voltage e.g., Absence of voltage for zero, constant positive voltage for one More often, negative voltage for one value and positive for the other---NRZ-L
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Nonreturn to Zero Inverted
Nonreturn to zero inverted on ones Constant voltage pulse for duration of bit Data encoded as presence or absence of signal transition at beginning of bit time 1: Transition (low to high or high to low) 0: No transition An example of differential encoding
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NRZ
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Differential Encoding
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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Multilevel Binary Use more than two levels Bipolar-AMI
0: no line signal 1: positive or negative pulse pulses for 1’s 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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Pseudo-ternary 1: absence of line signal
0: alternating positive and negative No advantage or disadvantage over bipolar-AMI Change for 1’s No signal No signal Change for 0’s
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Biphase Manchester Differential Manchester
Transition in middle of each bit period Transition serves as clock and data 1: low to high, 0: high to low Used by IEEE 802.3 Differential Manchester Midbit transition is clocking only 0: transition at start of a bit period 1: no transition at start of a bit period Used by IEEE 802.5
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Manchester Coding
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Spectra Used for the selection of line codes in conjunction with the channel characteristics: design the system so that most power is concentrated in the allowed range Figure 3.26
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Modulation Schemes (Binary)
Public telephone system 300Hz to 3400Hz Use modem (modulator-demodulator) Amplitude Shift Keying (ASK) Frequency Shift Keying (FSK) Phase Shift Keying (PSK)
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Binary ASK,FSK, PSK Bit-stream ASK FSK PSK
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Binary Keying Schemes
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Digital Modulation Binary keying schemes are simple, but not efficient! Digital modulation uses multiple symbols (waveforms) to improve the efficiency Information bearers: Amplitude Frequency Phase Mapping: a block of bits to a waveform
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QPSK Quadrature Phase Shift Keying
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Signal Constellation QPSK and QAM 4 “levels”/ pulse 2 bits / pulse
Ak Bk 4 “levels”/ pulse 2 bits / pulse 2W bits per second 2-D signal Bk 2-D signal Ak 16 “levels”/ pulse 4 bits / pulse 4W bits per second Figure 3.33
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QAM Quadrature Amplitude Modulation (QAM)
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Analog Modulation
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Analog Modulation
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Analog to Digital Sampling Theorem Quantization
Pulse Coded Modulation (PCM) Differentially coded Modulation (e.g., Delta Modulation)
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PCM Voice data limited to below 4000Hz Require 8000 sample per second
Analog samples (Pulse Amplitude Modulation, PAM) Each sample assigned digital value 8 bit sample gives 256 levels Quality comparable with analog transmission 8000 samples per second of 8 bits each gives 64kbps
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Delta Modulation Signals change continuously, close samples have close values! 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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Spread Spectrum Spread power behind the noise
Spread data over wide bandwidth Makes jamming and interception harder Frequency hoping Carrier changes in a random fashion Direct Sequence Each bit is represented by multiple bits in transmitted signal, similar to random noise EEL 6503: CDMA and Spread Spectrum
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Transmission Media Guided - wired (cable, twisted-pair, fiber)
Unguided - wireless (radio, infrared, microwave) For guided, the medium is more important For unguided, the transmission bandwidth and channel conditions are more important Key concerns are data rate and distance
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Electromagnetic Spectrum
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Guided Transmission Media
Twisted Pair Coaxial cable Optical fiber
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Twisted Pair
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Twisted Pair (cont) Most common medium
Telephone networks and local area networks (Ethernet) Easy to work with and cheap Limited BW and low date rate, short distance and susceptible to interference and noise New technologies: xDSL-digital subscriber line e.g., ADSL, VDSL DMT: Discrete Multitone (Cioffi’s successful story)
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Unshielded and Shielded TP
Unshielded Twisted Pair (UTP) Ordinary telephone wire Cheapest Easiest to install Suffers from external EM interference Shielded Twisted Pair (STP) Metal braid or sheathing that reduces interference More expensive Harder to handle (thick, heavy)
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EIA-568-A UTP Categories Cat 3: up to 16MHz (LANs) Cat 4: up to 20 MHz
Voice grade found in most offices Twist length of 7.5 cm to 10 cm data rate up to 16 Mbps, found in most office building Cat 4: up to 20 MHz Cat 5: up to 100MHz (LANs) Commonly pre-installed in new office buildings Twist length 0.6 cm to 0.85 cm Data rate up to 100 Mbps
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Coaxial Cable
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Coaxial Cable (cont) Most versatile medium
Television distribution: TV, CATV Long distance telephone transmission: can carry 10,000 voice calls simultaneously Short distance computer systems links, LAN Higher BW and high date rate Heavy, not flexible, optical fibers may be a better choice
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Cable Distribution Head end Unidirectional amplifier Figure 3.41
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Optical Fiber
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Optical Fiber (cont) Greater capacity: Smaller size & weight
High BW ( >100 THz) and Data rates of hundreds of Gbps Smaller size & weight Lower attenuation Electromagnetic isolation More secure transmission: infeasible wiretap Greater repeater spacing 10s of km at least
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Optical Fiber (cont) Light Emitting Diode (LED)
Cheaper Wider operating temp range Last longer Injection Laser Diode (ILD) More efficient Greater data rate More expensive Wavelength Division Multiplexing (WDM)
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Optical Transmission System
Optical fiber Optical source Modulator Electrical signal Receiver Figure 3.47
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Transmission Modes
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Fiber-Coaxial Distribution
Head end Upstream fiber Downstream fiber Fiber node Coaxial distribution plant Bidirectional Split-Band Amplifier Figure 3.42
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Applications Network backbone Local Area Networks (LAN)
Public Switched Telephone Systems (PSTN): copper wires are replaced by fibers National Internet Infrastructure: Internet2 etc Cable Networks Local Area Networks (LAN) Fiber Distributed Data Interface (FDDI): 100 Mbps Gigabit Ethernet Fiber channels
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Wireless Transmission
Unguided media: transmission over the air Transmission and reception via antenna Directional Transmission limited in certain direction (flash light) Careful alignment required Omni-directional Transmission power evenly spread over all directions (fireworks) Can be received by many antennae
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Frequency Bands 2GHz to 40GHz 30MHz to 1GHz 3 x 1011 to 2 x 1014
Microwave Highly directional, point to point Satellite, PCS (2Ghz), future wireless (2.4Ghz, 5Ghz) 30MHz to 1GHz Omnidirectional Broadcast radio, cellular ( 3 x 1011 to 2 x 1014 Infrared
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satellite & terrestrial
Radio Spectrum Frequency (Hz) 104 105 106 107 108 109 1010 1011 1012 FM radio & TV Wireless cable AM radio Cellular & PCS satellite & terrestrial microwave LF MF HF VHF UHF SHF EHF 104 103 102 101 1 10-1 10-2 10-3 Wavelength (meters) Figure 3.48
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Characteristics of Wireless
Flexible Solution for ubiquity of communications: get service on the move Spectrum is limited Channels are notoriously hostile Power limited Interference limited Security is a BIG issue! More details: EEL6591: Wireless Networks or EEL6935: Wireless ad Hoc Networks
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Communication Interfaces
EIA RS-232 standard: serial line interface Specify the interfaces between data terminal equipment (DTE) and data communications equipment (DCE) DTE: represents a computer or terminal DCE: represents the modem or the “network card”
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Connector DTE DCE (a) (b)
(b) 1 Protective Ground (PGND) 1 2 Transmit Data (TXD) 2 3 Receive Data (RXD) 3 4 Request to Send (RTS) 4 5 Clear to Send (CTS) 5 DTE DCE 6 Data Set Ready (DSR) 6 7 Ground (G) 7 8 Carrier Detect (CD) 8 20 Data Terminal Ready (DTR) 20 22 Ring Indicator (RI) 22 Figure 3.67
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Interfacing DCE communicates data and control info with DTE
Done over interchange circuits Clear interface standards required Specifications Mechanical Connection plugs Electrical Voltage, timing, encoding Functional Data, control, timing, grounding Procedural Sequence of events
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Suggested Reading Chapter 3 Cross-read Tanenbaum, Chapter 2
Stallings’s book: 3, 4, 5, 6
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