Univ. of TehranIntroduction to Computer Network1 An Introduction to Computer Networks University of…

Univ. of TehranIntroduction to Computer

Network 1

An IntroductionAn Introduction to to

Computer NetworksComputer Networks

University of TehranDept. of EE and Computer Engineering

By:Dr. Nasser Yazdani

Lecture 5: Physical LayerPhysical Layer


Network 2

Concepts: Data signal Links

Link functions Modulation Shannon’s Theorem Transmission media

OutlineOutline


Network 3

DataData Discrete data: an instance is binary.

Computer works with discrete data. Discrete is encoded in 0s and 1s.

Continuous data: change with time or space. It is converted to discrete data by

sampling Data is delivered by signals in the

links


Network 4

Link FunctionsLink Functions

Functions1. Construct Frame with Error Detection Code2. Encode bit sequence into analog signal3. Transmit bit sequence on a physical medium (Modulation)4. Receive analog signal5. Convert Analog Signal to Bit Sequence6. Recover errors through error correction and/or ARQ

Adaptor AdaptorSignal

Adaptor: convert bits into physical signal and physical signal back into bits


Network 5

Link ComponentsLink Components

NRZI


Network 6

Link PropertiesLink Properties Function

Duplex/Half Duplex One stream, multiple streams

Characteristics Bit Error Rate Data Rate (this sometimes

mistakenly called bandwidth!) Degradation with distance


Network 7

Example: Optical LinksExample: Optical Links


Network 8

Electromagnetic waves propagating in the light speed. Frequency Wavelength A (periodic) signal can be viewed as a sum of sine

waves of different frequencies and strengths. Every signal has an equivalent representation in the

frequency domain.» What frequencies are present and what is their

strength (energy)

SignalsSignals


Network 9

Signals (cont)Signals (cont)


Network 10

Sender changes the nature of the signal in a way that the receiver can recognize.» Similar to radio: AM or FM

Digital transmission: encodes the values 0 or 1 in the signal.» It is also possible to encode multi-valued symbols

Amplitude modulation: change the strength of the signal, typically between on and off.» Sender and receiver agree on a “rate”» On means 1, Off means 0

Similar: frequency or phase modulation. Can also combine method modulation types.

Modulation Modulation

Amplitude ModulationAmplitude Modulation

Frequency ModulationFrequency Modulation

Baseband modulation: send the “bare” signal.Carrier modulation: use the signal to modulate a higher frequency signal (carrier).

»Can be viewed as the product of the two signals»Corresponds to a shift in the frequency domain

Baseband vs. Carrier Baseband vs. Carrier ModulationModulation

Ampl

itude

Signal CarrierFrequency

Ampl

itude

ModulatedCarrier

Amplitude Carrier Amplitude Carrier ModulationModulation


Network 15

Noise: “random” energy is added to the signal.

Attenuation: some of the energy in the signal leaks away. We need repeaters.

Dispersion: attenuation and propagation speed are frequency dependent.» Changes the shape of the signal

Limits in sending Limits in sending signalssignals


Network 16

NoiseNoise A signal s(t) sent over a link is generally

Distorted by the physical nature of the medium This distortion may be known and reversible at the

receiver Affected by random physical effects

Shot noise Fading Multipath Effects

Also interference from other links Wireless Crosstalk

Dealing with noise is what communications engineers do


Network 17

Link rate and Distance Link rate and Distance

Links become slower with distance because of attenuation of the signal Amplifiers and repeaters can help


Network 18

Every transmission medium supports transmission in a certain frequency range. This is called channel capacity.» The channel bandwidth is determined by the transmission

medium and the nature of the transmitter and receivers A noiseless channel of width H can at most transmit a

binary signal at a rate 2 x H.» E.g. a 3000 Hz channel can transmit data at a rate of at most

6000 bits/second Assumes binary amplitude encoding Shannon extended this result by accounting for the effects

of noise. More aggressive encoding can increase the channel

bandwidth.» Example: modems

Channel capacityChannel capacity

Nyquist’s TheorumNyquist’s Theorum How is the data rate constrained by

bandwidth? Maximum data rate(bits/second) =

2 * bandwidth (hz)

Nyquist’s Theorum considers only the limit imposed by the bandwidth not noise, encoding, or other factors.

Nyquist’s TheorumNyquist’s Theorum Why Double The Why Double The Bandwidth?Bandwidth?

In addition to looking at a signal in the time domain, we can view it in the frequency domain.

In other words, instead of asking the question, “What is the amplitude at time X?”, we can ask the question, “How much energy is present every X units of time?”

Ener

gy

Frequency


As an analog signal is transmitted through some media, it is filtered by that media.

Not only is noise introduced, but energy at certain frequencies is lost – and nearly completely so above and below some threshold frequencies.

As a result, the signal has no harmonics above a certain frequency or below another.

A fundamental theoretical finding is that to reproduce an analog signal accurately at a certain frequency, we must sample it twice as frequently. Otherwise, we could lose information.

If we sample less often, we might miss an event – we sample just before it happens.

If we sample more often, we just sample the same thing twice – we can’t get more information than is there – and the data has already been limited to a certain bandwidth of information.



We need to have two points within the same period to know exactly which sine function we have. More points provide no additional information.

Better Than Nyquist’s Better Than Nyquist’s LimitLimit

If clocks are synchronized sender and receiver, we only need one point per period.

This is because the synchronized starting point counts as one of the two points.

Noisy ChannelNoisy Channel Consider ratio of signal power to

noise power. Consider noise to be super-imposed

signal Decibel (dB) = 10 Log (S/N) S/N of 10 = 10 dB S/N of 100 = 20 dB S/N of 1000 = 30 dB

Shannon’s TheoremShannon’s Theorem Maximum data rate (bits/second) =

bandwidth (Hz) Log 2 (1 + S/N) As before, this only gives us the limit on the

data rate imposed by the noise, itself. It does not consider the encoding or

bandwidth limitations. The bandwidth parameter can be confusing.

It is there because it governs the effect that the noise has. More bandwidth either dilutes the noise, or gives the data more places to hide, or both.

• Increased bandwidth decreases the effects of noise.• The signal has either more frequency space to call its own, or the noise gets diluted across the frequency space, or some combination of the two.

noise signalShannon’s TheorumShannon’s Theorum


Network 28

Signaling bits on a linkSignaling bits on a link Multi-level SignalingMulti-level Signaling

1

Levels23

4

00 11 10 01 001

Levels

2345678

000 010 101 001 110

2-bits per symbol 3-bits per symbol

Ultimately, what limits the number of bits I can send per symbol?


Network 29

Maximum Maximum Capacity/Data RateCapacity/Data Rate

Shannon Capacity:)/1(log2 NSBC

Bandwidth of link Signal-to-Noise ratio

For example: Bandwidth of telephone link from telephone to a typical home is approx 3300Hz – 300Hz = 3kHz Signal-to-noise ratio is approx 30dB = 10log10(S/N) Therefore, C = 3000*log2(1001) ~= 30kb/s

Optical fiber has a higher capacity because the bandwidth, B, of a fiber is much greater than for wire; and it is less susceptible to noise,

N.


Network 30

Sampling Result Sampling Result (Nyquist)(Nyquist)

Suppose a signal s(t) has a bandwidth B. Sampling Result: Suppose we sample it (accurately) every T seconds.

If T≤ 1/2B then it is possible to reconstruct the s(t) correctly Only one signal with bandwidth B has these sample points There are multiple signals with these sample points for signals with

bandwidth greater than B Increasing the bandwidth results in a richer signal space No noise allowed in the sampling result


Network 31

Unshielded Twisted Pair (UTP)» Two copper wires twisted - avoid antenna effect» Grouped into cables: multiple pairs with common

sheath» Cat 3 (voice grade) versus Cat 5 for data» 100 Mbps up to 100 m, 1 Mbps up to a few km» Cost: ~ 10cents/foot

Coax cables.» One connector is placed inside the other

connector» Holds the signal in place and keeps out noise» Gigabit up to a km

Copper WireCopper Wire


Network 32

Copper WireCopper Wire


Network 33

Thin thread of glass or plasticLightweight.Fibers act as wave-guides for light which is usuallyproduced by lasers.Visible light has frequency around 5*10 15 Hz,which ensures an extremely high bandwidth.The raw materials are cheap.Immune to electrical interference.Difficult to join and tap.Security advantages

Fiber OpticFiber Optic

lower indexof refraction

core

cladding

(note: minimum bend radius of a few cm)

Ray Propagation, FiberRay Propagation, Fiber

Multimode fiber.»62.5 or 50 micron core carries multiple “modes”»used at 1.3 microns, usually LED source»subject to mode dispersion: different propagation modes travel at different speeds, depending on where source reflects bounces within cable – different paths are different lengths»Mode dispersion can be combated with a graded refraction index. Cable has variable refraction index to squeeze things back together.»typical limit: 1 Gbps at 100m

Single mode»Narrow cable so that it holds only “one beam” of light»8 micron core carries a single mode»used at 1.3 or 1.55 microns, usually laser diode source»typical limit: 1 Gbps at 10 km or more »still subject to chromatic dispersion

Fiber TypesFiber Types


Network 36

Leased LinesLeased Lines Dedicated link from

Telephone Companies DS1 24 digital voice

of 64Kbps DS3 28 DS1 STS stands for Synch.

Transfer signal

Line BandwidthDS1 (T1) 1.544 Mbps

DS3 (T3) 44.736 Mbps

STS-1 (OC1) 51.840 Mbps

STS-3 (OC3) 155.250 Mbps

STS-12 (OC12) 622.080 Mbps

STS-48 (OC48) 2.48 Gbps

STS-12 (OC12) 622.080 Mbps

STS-192 (OC192)

9.95 MGbps


Network 37

Last-Mile LinksLast-Mile Links Connect from home to

network service providers

xDSl (Digital Subscriber line), runs on local loop on telephone line. ADSL, VDSL

CATV- Cabel TV, BW of 6 MHZ, is asymmetric.

Line BandwidthPOTS (modem) 28.8-65Kbps

ISDN 64-128 Kbps

XDSL 16Kbps-55.2 Mbps

CATV 20-40 Mpbs

Univ. of TehranIntroduction to Computer Network1 An Introduction to Computer Networks University of…

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