Sistemi di
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
•
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
•
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
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
•
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
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 ))
–
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
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
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
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
Segnali analogici e digitali
Segnali analogici e digitali
Segnali digitali
Segnali digitali
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
•
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
•
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
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
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
–
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
)
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
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 Shannon’’s 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
62
+
6
=
=
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
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
•
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
•
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
•
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)
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
•
Multiplexing
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
Frequency-division Multiplexing
Time-division Multiplexing
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=
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 24
4
c
fd
d
P
P
r t=
=
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 tA
A
f
cd
A
A
d
G
G
d
P
P
2 2 2 2 2 24
=
=
=
Categories of Noise
Categories of Noise
Thermal Noise
Thermal Noise
Intermodulation noise
Intermodulation noise
Crosstalk
Crosstalk
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
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
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
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
+
+
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
bk
/
0 0=
=
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
Multipath
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
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)
•
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
Error Compensation Mechanisms
Error Compensation Mechanisms
Forward error correction
Forward error correction
Adaptive equalization
Adaptive equalization
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
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
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
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
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
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
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)
–
Basic Encoding Techniques
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))
( )
= ts Acos
(
2fct)
0
1 binary
0 binary
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
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
( )
= ts Acos
(
(
2f1t)
)
t f
Acos 2
2
1 binary
0 binary
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
Multiple Frequency-Shift Keying
Multiple Frequency-Shift Keying
(MFSK)
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
( )
= ts Acos
(
(
2fct)
)
f t +Acos 2 c
1 binary 0 binary
= Acos
(
2fct)
(
)
1 binary
0 binary
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
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 2cos f t
A c 11
+ 4 3 2
cos f t
A c
3
01
00
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
=
=
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
–
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+
=
+
=
2log
1
1
( )
R
M
M
r
B
T+
=
2log
1
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
Quadrature
Quadrature
Amplitude
Amplitude
Modulation
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
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
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