1
Link Power and Rise Time
Budget Analysis
MEC
2
Contents
• Point to Point Links.
• Fiber Losses.
• Allowable Loss.
• Link Power Budget Analysis.
• Rise Time Budget Analysis.
• 3 - dB Bandwidth.
• Transmission Distance Limits.
3
Point to Point Link
• Simplest transmission link has transmitter
and receiver – places least demand on
technology.
• Link design involves several variables,
source, fiber & detector characteristics &
several iterations.
User
4
Point to Point Link
• Performance and Cost Constraints.
• Careful choice of components to ensure
desired performance over expected life
time.
• Key System Requirements:
- Desired/Possible Transmission Distance.
- Data Rate/Channel Bandwidth.
- Bit Error Rate.
5
Point to Point Link –
Designer Choice
• Multimode or Single Mode Fiber.
- Core Size.
- Core Refractive Index Profile.
- Bandwidth or Dispersion.
- Attenuation.
- Numerical Aperture / Mode Field
Diameter.
6
Point to Point Link –
Designer Choice
• LED or Laser Diode Source
- Emission Wavelength.
- Spectral Line Width.
- Output Power.
- Effective Radiating Area.
- Emission Pattern.
- Number of Emitting Modes.
7
Point to Point Link –
Designer Choice
• pin or Avalanche Photodiode.
- Responsivity
- Operating Wavelength.
- Speed.
- Sensitivity.
• Analysis for desired system performance:
- Link Power Budget Analysis.
- Rise Time Budget Analysis.
8
Why Link Power Budget Analysis?
• To determine:
- Power margin between optical transmitter
output and minimum receiver sensitivity to
establish specified BER.
- Margin allotted to connector, splice, fiber
loss, additional margins due to component
degradation, temperature effects.
- Component change/repeater insertion
requirements for desired transmission
distance.
9
Link Power Budget Analysis
• Received optical power depends on the
amount of light coupled into the fiber, fiber
losses, losses at connectors and splice.
• Link loss budget derived from loss
contributions of each element (dB).
• If Pin and Pout are optical powers into and
out of the loss element, loss (dB) = 10log
• Link power margin for component ageing,
temperature fluctuations, components
added in future, 6 - 8dB if no future
additions.
out
in
P
P
10
Link Power Budget Analysis
Two connectors, Loss = 2Ic
Sensitivity = PR
PS
PT = PS - PR
11
Link Loss Budget
• Considers total optical power loss PT
allowed between source and detector, loss
due to cable attenuation, connector and
splice losses and system margin.
• PT = PS – PR = 2Ic + αfL + System Margin,
PS - optical power emerging from the end
of the fiber flylead attached to light source,
PR – receiver sensitivity, Ic – connector
loss, αf – fiber attenuation (dB/km), L- fiber
length, system margin taken as 6 dB.
12
Receiver Sensitivity
BER = 10-11 for InGaAs APD
BER = 10-9 for pin and Si APD
13
Link Loss Budget
800 nm LED/pin @ 20 Mb/s
14
Why Rise Time Analysis?
• Ensure overall desired system
performance.
• Determine distance/dispersion limitations.
• Considers transmitter rise time, material
dispersion rise time, modal dispersion rise
time, receiver rise time.
• Total transition time degradation to be
within limits.
15
Rise Time Budget
• Total transition time degradation not to
exceed 70% of an NRZ bit period, 35% bit
period of an RZ data (Bit Period = 1/Data
Rate).
• Transmitter and Receiver rise times known
to the designer.
• Transmitter rise time attributed to source
and the driving circuitry.
16
Rise Time Budget
• Receiver rise time (10% – 90%) attributed
to photodetector response, 3 dB electrical
bandwidth of receiver front end (Brx).
• Receiver front end response modelled as
a first order low pass filter
u(t) – unit step function.
• Receiver front end rise time
17
Rise Time Budget
• Receiver rise time defined between g(t) = 0.1
to g(t) = 0.9.
• For multimode fibers, rise time depends on
modal and material dispersions.
• In 800 – 900 nm range, material dispersion
adds about 0.07 ns/nm.km to rise time.
• Material dispersion effects to be neglected for
lasers & for LEDs at longer wavelengths.
18
Rise Time Budget
• Total rise time of the link is the root sum
square of the rise times of each contributor tj
to the pulse rise time degradation.
• ttx – transmitter rise time, tmat – material dispersion
rise time, tmod – fiber modal dispersion rise time, trx
– receiver rise time.
19
Fiber Bandwidth
• Fiber Bandwidth resulting from modal
dispersion inversely proportional to cable
length.
• For long continuous fiber, no joints, fiber
bandwidth decreases linearly with
increasing distance for lengths L < modal
equilibrium length Lc.
• For L > Lc, steady state equilibrium
established, bandwidth decreases as L0.5.
20
Fiber Bandwidth
• Practical Case : several fibers joined to form
link.
• Modal redistribution occurs at fiber to fiber
joints – misaligned joints, different core
indices & different degrees of mode mixing in
individual fibers.
• Value of index grading parameter α that
minimizes pulse dispersion depends on
wavelength, fibers optimized for different
wavelengths have different indices.
21
Fiber Bandwidth
• Variations in α at same wavelength leads
to overcompensated & undercompensated
refractive index profiles.
• Total Route Bandwidth a function of order
in which fibers are joined.
• Alternate over & undercompensated
profiles to attain a more modal delay
equalization – time consuming & unwieldy.
• Initial fiber control final link characteristics.
22
Fiber Bandwidth
• Bandwidth BM in a fiber of length L,
(0.5<q<1, B0 – bandwidth of 1 km length)
q = 0.5 if steady state equilibrium, q = 1 if
little mode mixing, typically q = 0.7.
Also,
Bn – Bandwidth of the nth fiber section
23
Pulse Broadening
• If tn – pulse broadening of the nth section,
pulse broadening occuring over N cable
sections:
• Empirical expression for pulse broadening
(0<rpk <1 – correlation coefficient between pth
and kth fiber):
24
Fiber Rise Time and 3 dB
Bandwidth
• Optical power emerging from a fiber has a
gaussian temporal response (σ – rms
pulse width)
• Time t½ required for the pulse to reach its
maximum value ie;
25
Fiber Rise Time and 3 dB
Bandwidth
• Full width of the pulse at its half maximum
value:
• 3-dB optical bandwidth – modulation
frequency f3 dB at which received optical
power has fallen to 0.5 of zero frequency
value.
26
Fiber Rise Time and 3 dB
Bandwidth
• Letting tFWHM be the rise time resulting
from modal dispersion,
• tmod is given by:
tmod in ns and Bm in MHz.
27
Fiber Rise Time and 3 dB
Bandwidth
all times in ns, σλ – source spectral width,
Dmat – fiber material dispersion factor ( = 0.07
ns/nm.km @ 800 – 900 nm).
28
Transmission Distance Limits
800 MHz-km fiber
800 nm source
BER = 10-9
3.5dB/km
29
Transmission Distance Limits
Single Mode Links
1550 nm DFB LD,
D - 2.5 ps/nm.km
Attenuation - 0.3 dB/km
30
References
• https://www.youtube.com/watch?v=NctDb6p
WpoA
• https://www.youtube.com/watch?v=mqKaVbo
_dsE
• https://www.youtube.com/watch?v=mmvyDS
7jsN0
• https://www.youtube.com/watch?v=SWvWpl8
Txx0
• https://www.youtube.com/watch?v=QRABE0
qMBJE
31
Thank You

Link power and rise time budget analysis

  • 1.
    1 Link Power andRise Time Budget Analysis MEC
  • 2.
    2 Contents • Point toPoint Links. • Fiber Losses. • Allowable Loss. • Link Power Budget Analysis. • Rise Time Budget Analysis. • 3 - dB Bandwidth. • Transmission Distance Limits.
  • 3.
    3 Point to PointLink • Simplest transmission link has transmitter and receiver – places least demand on technology. • Link design involves several variables, source, fiber & detector characteristics & several iterations. User
  • 4.
    4 Point to PointLink • Performance and Cost Constraints. • Careful choice of components to ensure desired performance over expected life time. • Key System Requirements: - Desired/Possible Transmission Distance. - Data Rate/Channel Bandwidth. - Bit Error Rate.
  • 5.
    5 Point to PointLink – Designer Choice • Multimode or Single Mode Fiber. - Core Size. - Core Refractive Index Profile. - Bandwidth or Dispersion. - Attenuation. - Numerical Aperture / Mode Field Diameter.
  • 6.
    6 Point to PointLink – Designer Choice • LED or Laser Diode Source - Emission Wavelength. - Spectral Line Width. - Output Power. - Effective Radiating Area. - Emission Pattern. - Number of Emitting Modes.
  • 7.
    7 Point to PointLink – Designer Choice • pin or Avalanche Photodiode. - Responsivity - Operating Wavelength. - Speed. - Sensitivity. • Analysis for desired system performance: - Link Power Budget Analysis. - Rise Time Budget Analysis.
  • 8.
    8 Why Link PowerBudget Analysis? • To determine: - Power margin between optical transmitter output and minimum receiver sensitivity to establish specified BER. - Margin allotted to connector, splice, fiber loss, additional margins due to component degradation, temperature effects. - Component change/repeater insertion requirements for desired transmission distance.
  • 9.
    9 Link Power BudgetAnalysis • Received optical power depends on the amount of light coupled into the fiber, fiber losses, losses at connectors and splice. • Link loss budget derived from loss contributions of each element (dB). • If Pin and Pout are optical powers into and out of the loss element, loss (dB) = 10log • Link power margin for component ageing, temperature fluctuations, components added in future, 6 - 8dB if no future additions. out in P P
  • 10.
    10 Link Power BudgetAnalysis Two connectors, Loss = 2Ic Sensitivity = PR PS PT = PS - PR
  • 11.
    11 Link Loss Budget •Considers total optical power loss PT allowed between source and detector, loss due to cable attenuation, connector and splice losses and system margin. • PT = PS – PR = 2Ic + αfL + System Margin, PS - optical power emerging from the end of the fiber flylead attached to light source, PR – receiver sensitivity, Ic – connector loss, αf – fiber attenuation (dB/km), L- fiber length, system margin taken as 6 dB.
  • 12.
    12 Receiver Sensitivity BER =10-11 for InGaAs APD BER = 10-9 for pin and Si APD
  • 13.
    13 Link Loss Budget 800nm LED/pin @ 20 Mb/s
  • 14.
    14 Why Rise TimeAnalysis? • Ensure overall desired system performance. • Determine distance/dispersion limitations. • Considers transmitter rise time, material dispersion rise time, modal dispersion rise time, receiver rise time. • Total transition time degradation to be within limits.
  • 15.
    15 Rise Time Budget •Total transition time degradation not to exceed 70% of an NRZ bit period, 35% bit period of an RZ data (Bit Period = 1/Data Rate). • Transmitter and Receiver rise times known to the designer. • Transmitter rise time attributed to source and the driving circuitry.
  • 16.
    16 Rise Time Budget •Receiver rise time (10% – 90%) attributed to photodetector response, 3 dB electrical bandwidth of receiver front end (Brx). • Receiver front end response modelled as a first order low pass filter u(t) – unit step function. • Receiver front end rise time
  • 17.
    17 Rise Time Budget •Receiver rise time defined between g(t) = 0.1 to g(t) = 0.9. • For multimode fibers, rise time depends on modal and material dispersions. • In 800 – 900 nm range, material dispersion adds about 0.07 ns/nm.km to rise time. • Material dispersion effects to be neglected for lasers & for LEDs at longer wavelengths.
  • 18.
    18 Rise Time Budget •Total rise time of the link is the root sum square of the rise times of each contributor tj to the pulse rise time degradation. • ttx – transmitter rise time, tmat – material dispersion rise time, tmod – fiber modal dispersion rise time, trx – receiver rise time.
  • 19.
    19 Fiber Bandwidth • FiberBandwidth resulting from modal dispersion inversely proportional to cable length. • For long continuous fiber, no joints, fiber bandwidth decreases linearly with increasing distance for lengths L < modal equilibrium length Lc. • For L > Lc, steady state equilibrium established, bandwidth decreases as L0.5.
  • 20.
    20 Fiber Bandwidth • PracticalCase : several fibers joined to form link. • Modal redistribution occurs at fiber to fiber joints – misaligned joints, different core indices & different degrees of mode mixing in individual fibers. • Value of index grading parameter α that minimizes pulse dispersion depends on wavelength, fibers optimized for different wavelengths have different indices.
  • 21.
    21 Fiber Bandwidth • Variationsin α at same wavelength leads to overcompensated & undercompensated refractive index profiles. • Total Route Bandwidth a function of order in which fibers are joined. • Alternate over & undercompensated profiles to attain a more modal delay equalization – time consuming & unwieldy. • Initial fiber control final link characteristics.
  • 22.
    22 Fiber Bandwidth • BandwidthBM in a fiber of length L, (0.5<q<1, B0 – bandwidth of 1 km length) q = 0.5 if steady state equilibrium, q = 1 if little mode mixing, typically q = 0.7. Also, Bn – Bandwidth of the nth fiber section
  • 23.
    23 Pulse Broadening • Iftn – pulse broadening of the nth section, pulse broadening occuring over N cable sections: • Empirical expression for pulse broadening (0<rpk <1 – correlation coefficient between pth and kth fiber):
  • 24.
    24 Fiber Rise Timeand 3 dB Bandwidth • Optical power emerging from a fiber has a gaussian temporal response (σ – rms pulse width) • Time t½ required for the pulse to reach its maximum value ie;
  • 25.
    25 Fiber Rise Timeand 3 dB Bandwidth • Full width of the pulse at its half maximum value: • 3-dB optical bandwidth – modulation frequency f3 dB at which received optical power has fallen to 0.5 of zero frequency value.
  • 26.
    26 Fiber Rise Timeand 3 dB Bandwidth • Letting tFWHM be the rise time resulting from modal dispersion, • tmod is given by: tmod in ns and Bm in MHz.
  • 27.
    27 Fiber Rise Timeand 3 dB Bandwidth all times in ns, σλ – source spectral width, Dmat – fiber material dispersion factor ( = 0.07 ns/nm.km @ 800 – 900 nm).
  • 28.
    28 Transmission Distance Limits 800MHz-km fiber 800 nm source BER = 10-9 3.5dB/km
  • 29.
    29 Transmission Distance Limits SingleMode Links 1550 nm DFB LD, D - 2.5 ps/nm.km Attenuation - 0.3 dB/km
  • 30.
    30 References • https://www.youtube.com/watch?v=NctDb6p WpoA • https://www.youtube.com/watch?v=mqKaVbo _dsE •https://www.youtube.com/watch?v=mmvyDS 7jsN0 • https://www.youtube.com/watch?v=SWvWpl8 Txx0 • https://www.youtube.com/watch?v=QRABE0 qMBJE
  • 31.