Detectors and Receiver - Mechanical and Construction Engineering
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Transcript Detectors and Receiver - Mechanical and Construction Engineering
Optical Fibre Communication
Systems
Lecture 4 - Detectors & Receivers
Professor Z Ghassemlooy
Northumbria Communications Laboratory
Faculty of Engineering and
Environment
The University of Northumbria
U.K.
http://soe.unn.ac.uk/ocr
Prof. Z Ghassemlooy
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Contents
Properties and Characteristics
Types of Photodiodes
PIN
APD
Receivers
Noise Sources
Performance
SNR
BER
Prof. Z Ghassemlooy
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Optical Transmission - Digital
• The design of optical receiver
is much more complicated
than that of
• optical
transmitter
because the receiver
must first detect weak,
distorted signals and
then make decisions on
what type of data was
sent.
• analogue receiver
• But offers much higher
quality
than
analogue
receiver.
Prof. Z Ghassemlooy
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Optical Receiver – Block Diagram
Optical signal
(photons – hf)
Photodetection
Converting
optical
signal into
an electrical
signal
To recover the
information signal
Amplification
(Pre/post)
Filtering
Limiting the
bandwidth,
thus reducing
the noise
power
Prof. Z Ghassemlooy
Signal Processing
Information signal
4
Photodetection - Definition
It converts the optical energy into an electrical
current that is then processed by electronics to
recover the information.
Detection Techniques
• Thermal Effects
• Wave Interaction Effects
• Photon Effects
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Photodiode - Characteristics
An electronics device, whose vi-characteristics is sensitive to the
intensity of an incident light wave.
I
Forward-biased
“Photovoltic”
operation
Dark current
V
Po
Reverse-biased
“photoconductive”
operation
Short-circuit
“photoconductive”
operation
Prof. Z Ghassemlooy
• Small dark current due to:
• leakage
• thermal excitation
• Quantum efficiency
(electrons/photons)
• Responsivity
• Insensitive to temperature
variation
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Photodetector - Types
The most commonly used photodetectors in optical
communications are:
– Positive-Intrinsic-Negative (PIN)
•
•
•
•
•
No internal gain
Low bias voltage [10-50 V @ = 850 nm, 5-15 V @ = 1300 –1550 nm]
Highly linear
Low dark current
Most widely used
– Avalanche Photo-Detector (APD)
•
•
•
•
•
Internal gain (increased sensitivity)
Best for high speed and highly sensitive receivers
Strong temperature dependence
High bias voltage[250 V @ = 850 nm, 20-30 V @ = 1300 –1550 nm]
Costly
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Photodiode (PIN) - Structure
Photons
Depletion
region
n
electron
I
Io
p
hole
Output
• No carriers in the I region
• No current flow
p
I
hole
Bias voltage
The power level at a distance x into
the material is:
Where is the photon absorption
coefficient
n
electron
RL (load
resistor)
• Reverse-biased
• Photons generated electron-hole pair
• Photocurrent flow through the diode and in
the external circuitry
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Photodiode (PIN) - Structure
Depletion region width
The capacitance of the
depletion layer Cj (F) is:
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Photodetector - Reponsivity
PIN:
R = Io/Po
Io = Photocurrent;
G = APD gain;
Note: rp = Po/hf
APD:
RAPD = G R
A/W
Po = Incident (detected) optical power
= Quantum efficiency = average number of
electron-hole pairs emitted re / average
number of incident photons rp
and re = Io/q
= 99% ~ 1
l is the length of the photoactive region
Io = qPo/hf
Thus normally is very low, therefore = 0.
So
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Photodetector - Responsivity
Silicon (Si)
– Least expensive
Germanium (Ge)
– “Classic” detector
Indium gallium
arsenide (InGaAs)
– Highest speed
G Keiser , 2000
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Photodetector - Equivalent Circuit
Contact leads
Photodiode
Rs
Io
Cj
Rj
Amplifier
L
RL
Ramp
Camp
Output
L = Large, (i.e o/c)Rs = Small, (i.e s/c)
CT = Cj + Camp
RT = Rj || RL || Ramp
The transfer function is given by:
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Photodetector - Equivalent Circuit
1
The detector behaves approximately like a first
f
B
order RC low-pas filter with a bandwidth of:
2CT RT
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Photodiode Pulse Responses
Fast response time
High bandwidth
• At low bias levels rise and fall times are different. Since photo
collection time becomes significant contributor to the rise time.
G Keiser , 2000
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Photodiode Pulse Responses
Small area photodiode
Small area photodiode
Large area photodiode
w = depletion layer
s = absorption coefficient
Due to carrier generated in w
Due to diffusion of carrier from the edge of w
G Keiser , 2000
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Photodetetor – Typical Characteristics
Si
Parameters
PIN
Wavelength range
Peak
(nm)
Ge
APD
400-1100
900
830
PIN
APD
800-1800
1550
1300
InGaAS
PIN
APD
900-1700
1300
1300
(1550)
(1550)
Responsivity
(A/W)
0.350.55
50-120
0.5-0.65
2.5-25
0.5-0.7
-
Quantum
Efficiency (%)
65-90
77
50-55
55-75
60-70
60-70
Bias voltage (-V)
45-100
220
6-10
20-35
5
<30
Dark current (nA)
1-10
0.1-1
50-500
10-500
-
1-5
Rise time (ns)
0.5-1
0.1-2
0.1-0.5
0.5-0.8
0.06-0.5
0.1-0.5
Capacitance (pF)
1.2-3
1.3-2
2-5
2-5
0.5-2
0.1-0.5
Source: R. J. Hoss
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Minimum Received Power
• Is a measure of receiver sensitivity defined for a specific:
• Signal-to-noise ratio (SNR),
• Bit error Rate (BER),
• Bandwidth (bit rate),
at the receiver output.
Detector
Pr
Amplifier
Power loss
Po
MRP = Minimum Detected Power (MDP) – Coupling Loss
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MRP Vs. Bandwidth
-20
SNR (dB)
50
MRP (-dBm)
-30
-40
30
-50
10
-60
=1300
0
-70
1
2
5
10
20
50
100 200 500 1000
Bandwidth (MHz)
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Selection Criteria and Task
Optical
Optical Sensitivity for a given
BER and SNR
Operating wavelength
Dynamic range
Simplicity
Reliability and stability
Electrical
Data rate
Bit error rate (digital)
Maximum Bandwidth
(analogue)
Signal-to-noise ratio
(analogue)
Task:
•To extract the optical signal (low level) from various
noise disturbances
•To reconstruct the original information correctly
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Receivers: Basics
The most important and complex section of an optical
fibre system
It sensitivity is design dependent, particularly the first
stage or front-end
Main source of major noise sources:
– Shot noise current
– Thermal noise: Due to biasing/amplifier input impedance
– Amplifier noise:
• Current
• Voltage
– Transimpedance noise
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Receiver - Bandwidth
A range of frequencies that can be defined in terms of:
• Spectral profile of a signal
• Response of filter networks
• Equivalent bandwidth: Defines the amount of noise in a
system
Types of Bandwidth
• Ideal
• Baseband
• Passband
• Intermediate-Channel
• Transmission
• Noise
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Ideal, Low-pass and Band-pass Filters
Band-pass filter
Low-pass filter
0 dB
-3
Higher order
filter
Ideal
Frequency
Bbp
Prof. Z Ghassemlooy
Blp
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Noise Equivalent Bandwidth (NEB) B
0
NEB
-3 dB
Area under the response
cure
=
Area under the noise curve.
B3dB
B
Defines as the ideal
bandwidth
describing the point where:
Filter response
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Optical System
P(t)
m(t)
Optical drive
circuit
Light
source
Fibre
Photodiode
ip(t)
Amplifier
P(t ) Pt (1 Mm(t ))
Photocurrent i p (t )
R P (t ) R Pt (1 Mm(t ))
Signal current
Average photocurrent
Photocurrent =
+
io(t)
(DC current) Io
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Optical Receiver - Model
The received digital pulse stream incident at the photodetector is given by:
P(t )
b h
n
n
p
(t nTb )
where Tb is bit period, bn is an amplitude parameter of the nth message digit
and h p (t )is the received pulse shape which is positive for all t.
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Optical Receiver - contd.
For m(t) = sin t
The mean square signal current is
is io (t )
2
2
is io (t )G
2
2
for PIN
2
for APD
For a digital signal
The mean square signal current is
is io (t ) RP (t )
2
2
for PIN
is io (t )G RG P(t )
2
2
2
2
Prof. Z Ghassemlooy
for APD
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Optical System - Noise
Is a random process, which can’t be described as an
explicit function of time
In the time domain – Can be characterized in
probabilistic terms as:
Mean - correspond to the signal that we are interested to recover
Variance (standard deviation) - represents the noise power at the
detector’s output
Can also be characterized in terms of the Root Mean Square (RMS)
value
Time average
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Optical System - Noise
• The electric current in a photodetector circuit is composed of a
superposition of the electrical pulses associated with each
photoelectron
• The variation of this current is called shot noise
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Optical System - Noise Sources
At the receiver:
Additive
Signal dependent
Modal noise
Due to interaction of (constructive & destructive)
multiple coherent modes, resulting in intensity
modulation.
Photodetector Noise
Preamplifier (receiver) Noise
Distortion due to Non-linearity
Crosstalk and Reflection in the Couplers
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Noise - Source Noise - contd.
LED: Due to:
– In-coherent intensity fluctuation
– Beat frequencies between modes
LD: Due to:
–
–
–
–
Non-linearities
Quantum noise: In the photon generation
Mode hopping: Within the cavity
Reflection from the fibre back into the cavity, which reduces
coherence
– Difficult to measure, to isolate and to quantify
– Most problematic with multimode LD and multimode fibre
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Noise Currents
Let noise current be defined as:
inoise(t) = i(t) - IDC
IDC = Photocurrent Io
(Amps)
Noise current from random current pulses is termed as shot-noise.
Shot-noise:
• Quantum
• Dark current
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Quantum Shot Noise
The photons arrive randomly in a packet form, with no two
packets containing the same amount of photons.
Random generation of electron-hole pair, thus current.
Variation of the total current generated, about an average value.
This variation is best known as QUANTUM SHOT NOISE.
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Quantum Shot Noise
The average number of electronholes pairs per bits is:
Where the time period.
The probability of detecting n photons in a
time period is follows the Poisson
Distribution:
Incoherent light
Y Semenova, DIT, Ireland
Coherent light
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Quantum Shot Noise
The rate of electron-hole pairs generated by incident photons is:
With an ideal receiver with no noise we have:
Note that, the minimum pulse energy of the quantum limit is:
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Shot Noise - PIN
• The mean square quantum shot noise current on Io
ish 2qI o B
2
(A 2 )
• The mean square dark current noise (also classified as shot noise)
ids 2qI d B
2
(A 2 )
Where Id = surface leakage current, and B is the electrical bandwidth of the system
Q is the electron charge.
Total shot noise current ITs = Dark current + Photocurrent
The total mean square
shot noise
iTs 2q( I o I d ) B
2
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(A 2 )
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Noise Power Spectrum
Power spectrum
I2o
ITs2
Shot noise
0
B
Modulation
bandwidth
Prof. Z Ghassemlooy
Frequency
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Shot Noise - APD
• The mean square photocurrent noise
iTs 2q[( I o I d )G F ]B
2
2
where
F = The noise figure = Gx for 0<x<1
G = The optical gain
2
(A )
Bias voltage
hf
Av
RL
Prof. Z Ghassemlooy
Vo
Vi
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Noise Currents - contd.
Thermal Noise
ith
2
4 KTB
RL
RL = Total load seen at the input of the preamplifier
K = Boltzmann’s constant = 1.38x10-23 J/K
T = Temperature in degree Kelvin = Co + 273
Total Noise
PIN
iT ish ids ith
APD
iT ish ids ith
2
2
2
2
Prof. Z Ghassemlooy
2
2
2
2
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Electrical Amplifier Noise
Amplifier type
- Voltage Noise
- Current Noise
BJT
va 2
JEFT
qI c
2
gm
2
va 2
2
B
Total amplifier noise
i
A
Prof. Z Ghassemlooy
B
ia 2qI g B
ia 2qIb B
1
B
gm
2
2
2
2
qI d
B
2
2
[
i
(
v
a a / Z )] df
0
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Receiver Signal-to-Noise Ratio (SNR)
hf
io
• PIN
SNR
io
SNR
2
iT
iT
Io
2
4 KTB 2
2qB( I o I d )
i A
RL
2
• APD
iA
G2Io
SNR
2qB[( I o I d )G
Note: SNR cannot be improved be amplification
Prof. Z Ghassemlooy
2 x
2
4 KTB
]
F i2 A
RL
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SNR - Quantum Limit
The mean square quantum shot noise current on Io
ish 2qI o B
2
( Io ) Io
SNR)Q
2qIoB
(A 2 )
RP oq / hf
2qB
RP o / hf
2B
nelectron
re nelectron / s
N
B
bit / s
bit
Shot noise
Poisson
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Type of Receivers - Low Impedance
Voltage Amplifier
+Bias
-
Simple
Low sensitivity
Limited dynamic range
It is prone to overload and saturation
Is
Output
RL
50
Av
hf
CT
RL
Amplifier
Vo
Vi
1
• RC limited bandwidth B
2CT RL
RL = Rdetector || Ramp.
Prof. Z Ghassemlooy
Ramp= High
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Type of Receivers - High Impedance
Voltage Amplifier with Equaliser
+Bias
Is
• High sensitivity
• Low dynamic range
Output
RL
Ct
Amplifier
Equalizer
Equaliser
Av
hf
Vo
Vi
CT
RL
• Rdetector is large to reduce the effect of thermal noise
• Detector out put is integrated over a long time constant, and is
restored by differentiation
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Type of Receivers - Transimpedance
Feedback Amplifier
+Bias
• The most widely used
Rf
Is
• Wide bandwidth
•High dynamic range
• No equalisation
• Greater dynamic range (same gain at all frequencies)
• Slightly higher noise figure than HIVA
Output
Ct
Amplifier
RF
Bandwidth
Av
hf
B
CT
RL
Vi
Prof. Z Ghassemlooy
Vo
Av
2CT RF
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Transimpedance Feedback Amplifier
R
V*
F
F
V*
A
-A
I*
sh
RL
CT
SNR
I*
Th
I*
A
Vi
Vi
G 2 I o2
V
1
R {1 3 (2BR C ) }B
2qI G 2 F (G ) 4kT I *
o
A
RT
2
* 2
A
T
T
2
*
Where I . is the noise power spectral density, and RT = RL||RF
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Optical Receiver - Analogue
Employ an analogue preamplifier stage, followed by
either an analogue output stage (depending on the type
of receiver).
Comms. Special. Inc.
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Optical Receiver - Digital
1st stage is a current-to-voltage converter.
2nd stage is a voltage comparator, which produces a clean,
fast rise-time digital output signal. The trigger level may be
adjusted to produce a symmetrical digital signal.
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Optical Transmission - ISI
Optical pulse spread
after traversing along
optical fiber
Thus leading to ISI,
where some fraction of
energy remaining in
appropriate time slot,
whereas the rest of
energy is spread into
adjacent time slots.
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Receiver Performance
Signal-to-Noise Ratio (SNR)
Bit Error Rate (BER)
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SNR
In analogue transmissions the
performance of the system is mainly
determined by SNR at the output of
the receiver.
In case of amplitude modulation the
transmitted optical power P(t) is in
the form of:
P(t ) Pt [1 Mm(t )]
where M is modulation index, and m(t)
is the analogue signal.
The photocurrent at receiver can be
expressed as:
is (t ) RGPr [1 Mm(t )]
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SNR
The S/N can be written as
is2
S
(1 / 2)( RGPr ) 2
2
N
2q( RPr I d )G 2 F (G ) B (4k BTB / RT ) F
iN
(1 / 2)(GI P ) 2
2q ( I P I d )G 2 F (G ) B (4k BTB / RT ) F
Note, F is the amplifier noise figure.
For PIN: G = 1
So we have
S
(1 / 2)( I ) 2
2
2 2
(
1
/
2
)
G
R Pr
P
N (4k BTB / RT ) F (4k BTB / RT ) F
And for large signal level
Low input signal level
S RPr
N 4qB
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SNR Vs Receiver Sensitivity
Note: Io =RPo
G Keiser , 2000
Po(dBm)
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Bit Error Rate (BER)
Probability of Error = probability that the
output voltage is less than the threshold when a
1 is sent + probability that the output voltage is
more than the threshold when a 0 has been sent
bo
n
Variance
2on
1
vth
v
P1 (v)
p( y | 1)dy
probablity that the equalizer output vol tage is less than v, if 1 transmitt ed
P0 (v) p ( y | 0)dy probablity that the equalizer output vol tage exceeds v, if 0 transmitt ed
v
Variance
2off
Pe q1 P1 (vth ) q 0 P0 (vth )
q1
0
boff
vth
p( y | 1)dy q p( y | 1)dy
0
vth
where q1 and q0 are the probabilities that the transmitter sends 0 and 1 respectively.
Note, q0 = 1- q1.
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Bit Error Rate (BER)
BER = No. of error over a given time interval/Total no. of bits transmitted
P1 (vth )
vth
p( y | 1)dy
P0 (vth )
p( y | 0)dy
vth
1
2 on
1
2 off
(v bon ) 2
exp
dv
2
2
on
vth
(v boff ) 2
exp
dv
2
2
off
vth
If we assume that the probabilities of 0 and 1 pulses are equally likely
1
Q
BER Pe 1 erf
2
2
where
Prof. Z Ghassemlooy
vth boff
Q
off
bon vth
on
54
Bit Error Rate (BER) - contd.
For
• off = on = RMS noise
• bon = V, and boff = 0
• Thus vth = V/2 and Q = V/2
1
V
Pe 1 erf
2
2 2
In terms of power signal-to-noise ratio (S/N)
Therefore:
1
S
Pe 1 erf 0.345
2
N
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BER Performance
Minimum input power
depends on acceptable bit
error rate
Many receivers designed
for 1E-12 or better BER
G Keiser , 2000
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Basic Receiver Design
Bias
Clock
Recovery
AGC
-g
Temperature
Control
Decision
Circuit
Monitors
& Alarms
Optimized for one particular
– Sensitivity range
– Wavelength
0110
Remote
Control
Can include circuits
for telemetry
Agilent Tech.
– Bit rate
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Optical Receivers - Commercial
Devices
28 GHz Monolithic InGaAs PIN Photodetector
100 kHz- 40 Gb/s
DC - 65 Gb/s InGaAs PIN Photodiodes
100 GHz Dual-Depletion InGaAs/InP Photodiode
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Wide-Band Optical Receiver (40 Gb/s)
• Operating current 75 mA
• Bandwidth: 100 KHz to 35 GHz
• Power dissipation: 400 mW
• Responsivity: 0.6 A/W
• Wavelength response: 800 - 1600 nm • Power gain: 8 dB
Linearity response
Sensitivity response
Typical eye diagram
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Wide-Band Optical Receiver (DC - 65
Gb/s)
InGaAs PIN Photodiodes
Reverse bias voltage: +3V
Responsivity: 0.5 A/W at 1300 and 1550 nm wavelength.
Opto-electronic Integrated Circuits (OEICs) which combine
optical, microwave, and digital functions on the same chip
Application:
–
–
–
–
–
Ethernet fiber local area networks
Synchronized Optical Network SONET,
ISDN,
Telephony
Digital CATV).
Prof. Z Ghassemlooy
60
Regenerator (3R)
Receiver followed by a transmitter
– No add or drop of traffic
– Designed for one bit rate & wavelength
Signal regeneration
– Reshaping & timing of data stream
– Inserted every 30 to 80 km before optical amplifiers became
commercially available
– Today: reshaping necessary after about 600 km (at 2.5 Gb/s), often
done by SONET/SDH add/drop multiplexers or digital crossconnects
Fibre
Fibre
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Summary
Photodiode characteristics
Types of photodiode: PIN and APD
Photodiode responsivity & equivalent circuit
Minimum received power
Optical receiver:
– Types
– Bandwidth
Noise
Signal-to-noise ratio
Bit error rate
Receiver design
Regenerator
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Next Lecturer
Optical Devices
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63