• No results found

Sistemi di Trasmissione Radio. Università di Pavia. Sistemi di Trasmissione Radio

N/A
N/A
Protected

Academic year: 2021

Share "Sistemi di Trasmissione Radio. Università di Pavia. Sistemi di Trasmissione Radio"

Copied!
71
0
0

Loading.... (view fulltext now)

Full text

(1)

Sistemi di

(2)

Programma del corso

Programma del corso

Tecniche di trasmissione

Tecniche di trasmissione

Modulazioni numericheModulazioni numeriche

Sistemi ad Sistemi ad allargameneto diallargameneto di bandabanda

Sistemi Sistemi multi-tonomulti-tono

Codifica di canaleCodifica di canale

(3)

Programma del corso

Programma del corso

Sistemi di trasmissione senza filo

Sistemi di trasmissione senza filo

Sistemi Sistemi radiomobili radiomobili cellularicellulari

comunicazioni satellitaricomunicazioni satellitari

Cordless Cordless e e Wireless Local LoopWireless Local Loop

Mobile IP e WAPMobile IP e WAP

WLANWLAN

(4)

Testi consigliati

Testi consigliati

O.

O.

Bertazioli

Bertazioli

, L.

, L.

Favalli

Favalli

,

,

GSM

GSM

.

.

Hoepli

Hoepli

, Seconda Edizione, 2002.

, Seconda Edizione, 2002.

W.

W.

Stallings

Stallings

,

,

Wireless

Wireless

Communications

Communications

and

and

Networks

Networks

.

.

Pearson-Prentice

Pearson-Prentice

Hall,

Hall,

Second

Second

Editions

(5)

Storia delle comunicazioni radio

Storia delle comunicazioni radio

Guglielmo Guglielmo Marconi invented the wireless telegraph inMarconi invented the wireless telegraph in 1896

1896

Communication by encoding alphanumeric characters in analogCommunication by encoding alphanumeric characters in analog signal

signal

Sent telegraphic signals across the Atlantic OceanSent telegraphic signals across the Atlantic Ocean

Communications satellites launched in 1960sCommunications satellites launched in 1960s

Advances in wireless technologyAdvances in wireless technology

Radio, television, mobile telephone, communication satellitesRadio, television, mobile telephone, communication satellites

More recentlyMore recently

(6)

Electromagnetic Signal

Electromagnetic Signal

Function of time

Function of time

Can also be expressed as a function of

Can also be expressed as a function of

frequency

frequency

Signal consists of components of differentSignal consists of components of different frequencies

(7)

Time-Domain Concepts

Time-Domain Concepts

Analog signal - signal intensity varies in a smoothAnalog signal - signal intensity varies in a smooth

fashion over time

fashion over time

No breaks or discontinuities in the signalNo breaks or discontinuities in the signal

Digital signal - signal intensity maintains aDigital signal - signal intensity maintains a

constant level for some period of time and then

constant level for some period of time and then

changes to another constant level

changes to another constant level

Periodic signal - analog or digital signal patternPeriodic signal - analog or digital signal pattern

that repeats over time

that repeats over time

• ss((tt + +T T ) = ) = ss((t t ))

(8)

Frequency-Domain Concepts

Frequency-Domain Concepts

Spectrum - range of frequencies that a

Spectrum - range of frequencies that a

signal contains

signal contains

Absolute bandwidth - width of the spectrum

Absolute bandwidth - width of the spectrum

of a signal

of a signal

Effective bandwidth (or just bandwidth) -

Effective bandwidth (or just bandwidth)

-narrow band of frequencies that most of the

narrow band of frequencies that most of the

signal

(9)

Relationship between Data Rate

Relationship between Data Rate

and Bandwidth

and Bandwidth

The greater the bandwidth, the higher the

The greater the bandwidth, the higher the

information-carrying capacity

information-carrying capacity

BUT the transmission system will limit theBUT the transmission system will limit the bandwidth that can be transmitted

bandwidth that can be transmitted

AND, for any given medium, the greater theAND, for any given medium, the greater the bandwidth transmitted, the greater the cost

bandwidth transmitted, the greater the cost

HOWEVER, limiting the bandwidth createsHOWEVER, limiting the bandwidth creates distortions

(10)

Relazione tra data-rate e banda

Relazione tra data-rate e banda

Sistemi limitati in banda

Sistemi limitati in banda

Sistemi limitati in potenza

Sistemi limitati in potenza

(11)

Data Communication Terms

Data Communication Terms

Data - entities that convey meaning, or

Data - entities that convey meaning, or

information

information

Signals - electric or electromagnetic

Signals - electric or electromagnetic

representations of data

representations of data

Transmission - communication of data by

Transmission - communication of data by

the propagation and processing of signals

(12)

Segnali analogici e digitali

Segnali analogici e digitali

(13)

Segnali digitali

Segnali digitali

(14)

Analog Transmission

Analog Transmission

Transmit analog signals without regard to

Transmit analog signals without regard to

content

content

Attenuation limits length of transmission

Attenuation limits length of transmission

link

link

Cascaded amplifiers boost signal

Cascaded amplifiers boost signal

s energy

s energy

for longer distances but cause distortion

for longer distances but cause distortion

(15)

Digital Transmission

Digital Transmission

Concerned with the content of the signalConcerned with the content of the signal

Attenuation endangers integrity of dataAttenuation endangers integrity of data

Digital SignalDigital Signal

Repeaters achieve greater distanceRepeaters achieve greater distance

Repeaters recover the signal and retransmitRepeaters recover the signal and retransmit

Analog signal carrying digital dataAnalog signal carrying digital data

Retransmission device recovers the digital data fromRetransmission device recovers the digital data from analog signal

analog signal

(16)

About Channel Capacity

About Channel Capacity

Impairments, such as noise, limit data rate

Impairments, such as noise, limit data rate

that can be achieved

that can be achieved

For digital data, to what extent do

For digital data, to what extent do

impairments limit data rate?

impairments limit data rate?

Channel Capacity

Channel Capacity

the maximum rate at

the maximum rate at

which data can be transmitted over a given

which data can be transmitted over a given

communication path, or channel, under

(17)

Concepts Related to Channel

Concepts Related to Channel

Capacity

Capacity

Data rate - rate at which data can beData rate - rate at which data can be communicated (bps)

communicated (bps)

Bandwidth - the bandwidth of the transmittedBandwidth - the bandwidth of the transmitted signal as constrained by the transmitter and the

signal as constrained by the transmitter and the

nature of the transmission medium (Hertz)

nature of the transmission medium (Hertz)

Noise - average level of noise over theNoise - average level of noise over the communications path

communications path

Error rate - rate at which errors occurError rate - rate at which errors occur

Error = transmit 1 and receive 0; transmit 0 andError = transmit 1 and receive 0; transmit 0 and receive 1

(18)

Nyquist

Nyquist

Bandwidth

Bandwidth

For binary signals (two voltage levels)

For binary signals (two voltage levels)

• C C = 2= 2BB

With multilevel signaling

With multilevel signaling

• CC = 2 = 2BB log log22 MM

(19)

Signal-to-Noise Ratio

Signal-to-Noise Ratio

Ratio of the power in a signal to the powerRatio of the power in a signal to the power

contained in the noise

contained in the noise

Typically measured at a receiverTypically measured at a receiver

Signal-to-noise ratio (SNR, or S/N)Signal-to-noise ratio (SNR, or S/N)

A high SNR means a high-quality signal, lowA high SNR means a high-quality signal, low

number of required intermediate repeaters

number of required intermediate repeaters

SNR sets upper bound on achievable data rateSNR sets upper bound on achievable data rate

power noise

power signal

log 10

)

(20)

Shannon Capacity Formula

Shannon Capacity Formula

Equation:

Equation:

Represents theoretical maximum that can be

Represents theoretical maximum that can be

achieved

achieved

In practice, only much lower rates achieved

In practice, only much lower rates achieved

Formula assumes white noise (thermal noise)Formula assumes white noise (thermal noise)

(

1

SNR

)

log

2

+

=

B

(21)

Example of

Example of

Nyquist

Nyquist

and Shannon

and Shannon

Formulations

Formulations

Spectrum of a channel between 3 MHz and 4Spectrum of a channel between 3 MHz and 4

MHz;

MHz; SNRSNRdBdB = 24 dB= 24 dB

Using ShannonUsing Shannons formulas formula

(

)

251

SNR

SNR

log

10

dB

24

SNR

MHz

1

MHz

3

MHz

4

10 dB

=

=

=

=

=

B

(

1

251

)

10

8

8

Mbps

log

10

6

2

+

6

=

=

(22)

Example of

Example of

Nyquist

Nyquist

and Shannon

and Shannon

Formulations

Formulations

How many signaling levels are required?

How many signaling levels are required?

( )

16

log

4

log

10

2

10

8

log

2

2 2 6 6 2

=

=

=

=

M

M

M

M

B

C

(23)

Wireless transmissions

Wireless transmissions

Transmission and reception are achieved by

Transmission and reception are achieved by

means of antennas

means of antennas

Configurations for wireless transmission

Configurations for wireless transmission

DirectionalDirectional

(24)

General Frequency Ranges

General Frequency Ranges

Microwave frequency rangeMicrowave frequency range

1 GHz to 60 GHz1 GHz to 60 GHz

Directional beams possibleDirectional beams possible

Suitable for point-to-point transmissionSuitable for point-to-point transmission

Used for satellite communicationsUsed for satellite communications

Radio frequency rangeRadio frequency range

30 MHz to 1 GHz30 MHz to 1 GHz

(25)

Terrestrial Microwave

Terrestrial Microwave

Description of common microwave antennaDescription of common microwave antenna

Parabolic "dish", 3 m in diameterParabolic "dish", 3 m in diameter

Fixed rigidly and focuses a narrow beamFixed rigidly and focuses a narrow beam

Achieves line-of-sight transmission to receivingAchieves line-of-sight transmission to receiving antenna

antenna

Located at substantial heights above ground levelLocated at substantial heights above ground level

ApplicationsApplications

Long haul telecommunications serviceLong haul telecommunications service

(26)

Satellite Microwave

Satellite Microwave

Description of communication satelliteDescription of communication satellite

Microwave relay stationMicrowave relay station

Used to link two or more ground-based microwaveUsed to link two or more ground-based microwave transmitter/receivers

transmitter/receivers

Receives transmissions on one frequency band (uplink),Receives transmissions on one frequency band (uplink), amplifies or repeats the signal, and transmits it on

amplifies or repeats the signal, and transmits it on

another frequency (downlink)

another frequency (downlink)

(27)

Multiplexing

Multiplexing

Capacity of transmission medium usually

Capacity of transmission medium usually

exceeds capacity required for transmission

exceeds capacity required for transmission

of a single signal

of a single signal

Multiplexing - carrying multiple signals on

Multiplexing - carrying multiple signals on

a single medium

a single medium

(28)

Multiplexing

(29)

Multiplexing Techniques

Multiplexing Techniques

Frequency-division multiplexing (FDM)

Frequency-division multiplexing (FDM)

Takes advantage of the fact that the usefulTakes advantage of the fact that the useful

bandwidth of the medium exceeds the required

bandwidth of the medium exceeds the required

bandwidth of a given signal

bandwidth of a given signal

Time-division multiplexing (TDM)

Time-division multiplexing (TDM)

Takes advantage of the fact that the achievableTakes advantage of the fact that the achievable bit rate of the medium exceeds the required

bit rate of the medium exceeds the required

data rate of a digital signal

(30)

Frequency-division Multiplexing

(31)

Time-division Multiplexing

(32)

Antenna Gain

Antenna Gain

Relationship between antenna gain and effectiveRelationship between antenna gain and effective

area

area

– G G = antenna gain= antenna gain

– AAee = effective area= effective area

– f f = carrier frequency= carrier frequency

2 2 2

4

4

c

A

f

A

G

e

e

=

(33)

Free Space Loss

Free Space Loss

Free space loss, ideal isotropic antennaFree space loss, ideal isotropic antenna

– PPtt = signal power at transmitting antenna = signal power at transmitting antenna

– PPrr = signal power at receiving antenna = signal power at receiving antenna

= carrier wavelength = carrier wavelength

– dd = propagation distance between antennas = propagation distance between antennas

– cc = speed of light (» 3 ´ 10 8 m/s) = speed of light (» 3 ´ 10 8 m/s) where

where dd and and are in the same units (e.g., meters) are in the same units (e.g., meters)

( ) (

)

2 2 2 2

4

4

c

fd

d

P

P

r t

=

=

(34)

Free Space Loss

Free Space Loss

Free space loss accounting for gain of otherFree space loss accounting for gain of other

antennas

antennas

– GGtt = gain of transmitting antenna= gain of transmitting antenna

– GGrr = gain of receiving antenna= gain of receiving antenna

( ) ( ) ( )

( )

t r t r t r r t

A

A

f

cd

A

A

d

G

G

d

P

P

2 2 2 2 2 2

4

=

=

=

(35)

Categories of Noise

Categories of Noise

Thermal Noise

Thermal Noise

Intermodulation noise

Intermodulation noise

Crosstalk

Crosstalk

(36)

Noise Terminology

Noise Terminology

Intermodulation Intermodulation noise noise occurs if signals with occurs if signals with

different frequencies share the same medium

different frequencies share the same medium

Interference caused by a signal produced at aInterference caused by a signal produced at a

frequency that is the sum or difference of original

frequency that is the sum or difference of original

frequencies

frequencies

Crosstalk Crosstalk unwanted coupling between signal unwanted coupling between signal

paths

paths

(37)

Thermal Noise

Thermal Noise

Thermal noise due to agitation of electrons

Thermal noise due to agitation of electrons

Present in all electronic devices and

Present in all electronic devices and

transmission media

transmission media

Cannot be eliminated

Cannot be eliminated

Function of temperature

Function of temperature

Particularly significant for satellite

Particularly significant for satellite

communication

(38)

Thermal Noise

Thermal Noise

Amount of thermal noise to be found in aAmount of thermal noise to be found in a

bandwidth of 1Hz in any device or conductor is:

bandwidth of 1Hz in any device or conductor is:

– NN00 = noise power density in watts per 1 Hz of bandwidth = noise power density in watts per 1 Hz of bandwidth

k =k = Boltzmann's Boltzmann's constant = 1.3803 ´ 10constant = 1.3803 ´ 10-23-23 J/K J/K

(

W/Hz

)

k

0

T

(39)

Thermal Noise

Thermal Noise

Noise is assumed to be independent of frequencyNoise is assumed to be independent of frequency

Thermal noise present in a bandwidth of Thermal noise present in a bandwidth of BB Hertz Hertz (in watts):

(in watts):

or, in decibel-watts

or, in decibel-watts

TB

N

=

k

B

T

N

=

10

log

k

+

10

log

+

10

log

B

T

10

log

log

10

dBW

6

.

228

+

+

(40)

Expression

Expression

E

E

bb

/

/

N

N

00

Ratio of signal energy per bit to noise powerRatio of signal energy per bit to noise power

density per Hertz

density per Hertz

The bit error rate for digital data is a function ofThe bit error rate for digital data is a function of

E

Ebb//NN00

Given a value for Given a value for EEbb//NN0 0 to achieve a desired error rate,to achieve a desired error rate, parameters of this formula can be selected

parameters of this formula can be selected

TR

S

N

R

S

N

E

b

k

/

0 0

=

=

(41)

Other Impairments

Other Impairments

Atmospheric absorption

Atmospheric absorption

water vapor and

water vapor and

oxygen contribute to attenuation

oxygen contribute to attenuation

Multipath

Multipath

obstacles reflect signals so that

obstacles reflect signals so that

multiple copies with varying delays are

multiple copies with varying delays are

received

received

Refraction

Refraction

bending of radio waves as they

bending of radio waves as they

propagate through the atmosphere

(42)

Multipath

(43)

Multipath Propagation

Multipath Propagation

Reflection - occurs when signal encounters aReflection - occurs when signal encounters a

surface that is large relative to the wavelength of

surface that is large relative to the wavelength of

the signal

the signal

Diffraction - occurs at the edge of an impenetrableDiffraction - occurs at the edge of an impenetrable

body that is large compared to wavelength of

body that is large compared to wavelength of

radio wave

radio wave

Scattering Scattering occurs when incoming signal hits an occurs when incoming signal hits an

object whose size in the order of the wavelength of

object whose size in the order of the wavelength of

the signal or less

(44)

The Effects of Multipath

The Effects of Multipath

Propagation

Propagation

Multiple copies of a signal may arrive at

Multiple copies of a signal may arrive at

different phases

different phases

If phases add destructively, the signal levelIf phases add destructively, the signal level relative to noise declines, making detection

relative to noise declines, making detection

more difficult

more difficult

Intersymbol interference (ISI)

Intersymbol interference (ISI)

(45)

Types of Fading

Types of Fading

Fast fading

Fast fading

Slow fading

Slow fading

Flat fading

Flat fading

Selective fading

Selective fading

Rayleigh

Rayleigh

fading

fading

(46)

Error Compensation Mechanisms

Error Compensation Mechanisms

Forward error correction

Forward error correction

Adaptive equalization

Adaptive equalization

(47)

Forward Error Correction

Forward Error Correction

Transmitter adds error-correcting code to dataTransmitter adds error-correcting code to data

block

block

Code is a function of the data bitsCode is a function of the data bits

Receiver calculates error-correcting code fromReceiver calculates error-correcting code from

incoming data bits

incoming data bits

If calculated code matches incoming code, no errorIf calculated code matches incoming code, no error occurred

occurred

If error-correcting codes donIf error-correcting codes don’’t match, receiver attemptst match, receiver attempts to determine bits in error and correct

(48)

Adaptive Equalization

Adaptive Equalization

Can be applied to transmissions that carry analogCan be applied to transmissions that carry analog

or digital information

or digital information

Analog voice or videoAnalog voice or video

Digital data, digitized voice or videoDigital data, digitized voice or video

Used to combat Used to combat intersymbol intersymbol interferenceinterference

Involves gathering dispersed symbol energy backInvolves gathering dispersed symbol energy back

into its original time interval

into its original time interval

(49)

Diversity Techniques

Diversity Techniques

Diversity is based on the fact that individualDiversity is based on the fact that individual

channels experience independent fading events

channels experience independent fading events

Space diversity Space diversity techniques involving physical techniques involving physical

transmission path

transmission path

Frequency diversity Frequency diversity techniques where the signal techniques where the signal

is spread out over a larger frequency bandwidth

is spread out over a larger frequency bandwidth

or carried on multiple frequency carriers

or carried on multiple frequency carriers

Time diversity Time diversity techniques aimed at spreading techniques aimed at spreading

the data out over time

(50)

Signal Encoding Techniques

Signal Encoding Techniques

What determines how successful a receiver will beWhat determines how successful a receiver will be

in interpreting an incoming signal?

in interpreting an incoming signal?

Signal-to-noise ratioSignal-to-noise ratio

Data rateData rate

BandwidthBandwidth

An increase in data rate increases bit error rateAn increase in data rate increases bit error rate

An increase in SNR decreases bit error rateAn increase in SNR decreases bit error rate

(51)

Factors Used to Compare

Factors Used to Compare

Encoding Schemes

Encoding Schemes

Signal spectrumSignal spectrum

With lack of high-frequency components, lessWith lack of high-frequency components, less bandwidth required

bandwidth required

With no dc component, ac coupling via transformerWith no dc component, ac coupling via transformer possible

possible

Transfer function of a channel is worse near bandTransfer function of a channel is worse near band edges

edges

ClockingClocking

Ease of determining beginning and end of each bitEase of determining beginning and end of each bit position

(52)

Factors Used to Compare

Factors Used to Compare

Encoding Schemes

Encoding Schemes

Signal interference and noise immunitySignal interference and noise immunity

Performance in the presence of noisePerformance in the presence of noise

Cost and complexityCost and complexity

The higher the signal rate to achieve a given data rate,The higher the signal rate to achieve a given data rate, the greater the cost

(53)

Basic Encoding Techniques

Basic Encoding Techniques

Digital data to analog signal

Digital data to analog signal

Amplitude-shift keying (ASK)Amplitude-shift keying (ASK)

Amplitude difference of carrier frequencyAmplitude difference of carrier frequency

Frequency-shift keying (FSK)Frequency-shift keying (FSK)

Frequency difference near carrier frequencyFrequency difference near carrier frequency

Phase-shift keying (PSK)Phase-shift keying (PSK)

(54)

Basic Encoding Techniques

(55)

Amplitude-Shift Keying

Amplitude-Shift Keying

One binary digit represented by presence ofOne binary digit represented by presence of

carrier, at constant amplitude

carrier, at constant amplitude

Other binary digit represented by absence ofOther binary digit represented by absence of

carrier

carrier

where the carrier signal is where the carrier signal is AAcoscos(2(2ffcctt))

( )

= t

s Acos

(

2

fct

)

0

1 binary

0 binary

(56)

Amplitude-Shift Keying

Amplitude-Shift Keying

Susceptible to sudden gain changes

Susceptible to sudden gain changes

Inefficient modulation technique

Inefficient modulation technique

On voice-grade lines, used up to 1200 bps

On voice-grade lines, used up to 1200 bps

Used to transmit digital data over optical

Used to transmit digital data over optical

fiber

(57)

Binary Frequency-Shift Keying

Binary Frequency-Shift Keying

(BFSK)

(BFSK)

Two binary digits represented by two differentTwo binary digits represented by two different

frequencies near the carrier frequency

frequencies near the carrier frequency

where where ff11 and and ff22 are offset from carrier frequency are offset from carrier frequency ffcc by equalby equal but opposite amounts

but opposite amounts

( )

= t

s Acos

(

(

2

f1t

)

)

t f

Acos 2

2

1 binary

0 binary

(58)

Binary Frequency-Shift Keying

Binary Frequency-Shift Keying

(BFSK)

(BFSK)

Less susceptible to error than ASK

Less susceptible to error than ASK

On voice-grade lines, used up to 1200bps

On voice-grade lines, used up to 1200bps

Used for high-frequency (3 to 30 MHz)

Used for high-frequency (3 to 30 MHz)

radio transmission

radio transmission

Can be used at higher frequencies on LANs

Can be used at higher frequencies on LANs

that use coaxial cable

(59)

Multiple Frequency-Shift Keying

Multiple Frequency-Shift Keying

(MFSK)

(60)

Phase-Shift Keying (PSK)

Phase-Shift Keying (PSK)

Two-level PSK (BPSK)

Two-level PSK (BPSK)

Uses two phases to represent binary digitsUses two phases to represent binary digits

( )

= t

s Acos

(

(

2

fct

)

)

f t +

Acos 2 c

1 binary 0 binary

= Acos

(

2

fct

)

(

)

1 binary

0 binary

(61)

Phase-Shift Keying (PSK)

Phase-Shift Keying (PSK)

Differential PSK (DPSK)

Differential PSK (DPSK)

Phase shift with reference to previous bitPhase shift with reference to previous bit

Binary 0 Binary 0 –– signal burst of same phase as previous signal burst of same phase as previous signal burst

signal burst

Binary 1 Binary 1 –– signal burst of opposite phase to signal burst of opposite phase to previous signal burst

(62)

Phase-Shift Keying (PSK)

Phase-Shift Keying (PSK)

Four-level PSK (QPSK)

Four-level PSK (QPSK)

Each element represents more than one bitEach element represents more than one bit

( )

=

t

s

+ 4 2

cos f t

A c 11

+ 4 3 2

cos f t

A c

3

01

00

(63)

Phase-Shift Keying (PSK)

Phase-Shift Keying (PSK)

Multilevel PSKMultilevel PSK

Using multiple phase angles with each angle havingUsing multiple phase angles with each angle having

more than one amplitude, multiple signals elements can

more than one amplitude, multiple signals elements can

be achieved

be achieved

– DD = modulation rate, baud = modulation rate, baud

– RR = data rate, bps = data rate, bps

– MM = number of different signal elements = 2 = number of different signal elements = 2LL

M

R

L

R

D

2

log

=

=

(64)

Performance

Performance

Bandwidth of modulated signal (

Bandwidth of modulated signal (

B

B

TT

)

)

ASK, PSKASK, PSK BBTT=(1+=(1+rr))RR •

FSKFSK BBTT=2=2DDF+F+(1+(1+rr))RR

– RR = bit rate = bit rate

0 < r < 1; related to how signal is filtered0 < r < 1; related to how signal is filtered

(65)

Performance

Performance

Bandwidth of modulated signal (Bandwidth of modulated signal (BBTT))

MPSKMPSK

MFSKMFSK

– LL = number of bits encoded per signal element = number of bits encoded per signal element

– MM = number of different signal elements = number of different signal elements

R

M

r

R

L

r

B

T

+

=

+

=

2

log

1

1

( )

R

M

M

r

B

T

+

=

2

log

1

(66)

Quadrature

Quadrature

Amplitude

Amplitude

Modulation

Modulation

QAM is a combination of ASK and PSK

QAM is a combination of ASK and PSK

Two different signals sent simultaneously onTwo different signals sent simultaneously on the same carrier frequency

the same carrier frequency

( ) ( )

t

d

t

f

t

d

( )

t

f

t

(67)

Quadrature

Quadrature

Amplitude

Amplitude

Modulation

(68)

Reasons for Analog Modulation

Reasons for Analog Modulation

Modulation of digital signals

Modulation of digital signals

When only analog transmission facilities areWhen only analog transmission facilities are

available, digital to analog conversion required

available, digital to analog conversion required

Modulation of analog signals

Modulation of analog signals

A higher frequency may be needed for effectiveA higher frequency may be needed for effective transmission

(69)

Pulse Code Modulation

Pulse Code Modulation

Based on the sampling theorem

Based on the sampling theorem

Each analog sample is assigned a binary

Each analog sample is assigned a binary

code

code

Analog samples are referred to as pulseAnalog samples are referred to as pulse amplitude modulation (PAM) samples

amplitude modulation (PAM) samples

The digital signal consists of block of

The digital signal consists of block of

n

n

bits,

bits,

where each

where each

n

n

-bit number is the amplitude of

-bit number is the amplitude of

a PCM pulse

(70)
(71)

Pulse Code Modulation

Pulse Code Modulation

By quantizing the PAM pulse, original signal isBy quantizing the PAM pulse, original signal is

only approximated

only approximated

Leads to quantizing noiseLeads to quantizing noise

Signal-to-noise ratio for quantizing noiseSignal-to-noise ratio for quantizing noise

Thus, each additional bit increases SNR by 6 dB,Thus, each additional bit increases SNR by 6 dB,

or a factor of 4

or a factor of 4

dB 76 . 1 02 . 6 dB 76 . 1 2 log 20

References

Related documents

การเปรียบเทียบผลการด าเนินงานก่อน และหลังการน าผลงานไปใช้ ด้านที่น าไปใช้ ก่อนการน าผลงานไปใช้ หลังการน าผลงานไปใช้ ตัวชี้วัดความส าเร็จ

The whole system, with external I/O IGBT fiber optic gate signals, executes in real- time at 80 µ s time step under the RT-Lab real-time distributed simulation software on

If the alien sees other aliens nearby it will attack the player, but if it is alone, it will flee.. The behind this kind of behavior is to make the aliens attack in pairs

Keywords: Cayley’s cubic surface, elliptic curves, Hankel matrices, Hilbert-Kunz functions, Hilbert-Kunz multiplicity, Legendre polynomials, nodal cubic, syzygies.... Kunz [5] in

The Services Directive introduced by the European Commission intends to make headway with Single European Market for Services, by reducing the negative impact of policy

For the poorest farmers in eastern India, then, the benefits of groundwater irrigation have come through three routes: in large part, through purchased pump irrigation and, in a

As you upload tool results to create analysis runs, Code Dx will show the corresponding rules for those tools in the Rules Configuration page.. Rules are organized in a hierarchy

Post-colonial governments then reverted to centralisation at national level, destroyed alternate political organisations and limited the power of local government 728