Kyeong Soo Kim, "Energy-efficient time synchronization in wireless sensor networks," Invited talk, 2019 Distinguished Lecture and International Interdisciplinary Workshop, Chungnam National University (CNU), Daejeon, Korea, August 5-9, 2019.
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Energy-Efficient Time Synchronization in Wireless Sensor Networks
1. Energy-Efficient Time Synchronization in
Wireless Sensor Networks
Kyeong Soo (Joseph) Kim
(With X. Huan, S. Lee, E. G. Lim, and A. Marshall)
Department of Electrical and Electronic Engineering
Xiāan Jiaotong-Liverpool University
2019 Distinguished Lecture and
International Interdisciplinary Workshop
Chungnam National University
August 5-9, 2019
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2.
3. Outline
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Simulation Results
Next Steps: Multi-Hop Time Synchronization
Conclusions
3 / 62
4. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Hardware and Logical Clock Models
Effect of Clock Skew on Measurement Time
Estimation
Asynchronous Source Clock Frequency Recovery at
Sensor Nodes: One-Way Clock Skew Estimation
Simulation Results
Performance of One-Way Clock Skew Estimation
Performance of Measurement Time Estimation and
Energy Efficiency
Effect of Bundling of Measurement Data
Next Steps: Multi-Hop Time Synchronization
Conclusions
4 / 62
11. Head Node
I A base station that serves as a
gateway between wired and
wireless networks.
I A center for fusion of data
from distributed sensors.
I Equipped with a powerful
processor and supplied power
from outlet.
10 / 62
12. Head Node
I A base station that serves as a
gateway between wired and
wireless networks.
I A center for fusion of data
from distributed sensors.
I Equipped with a powerful
processor and supplied power
from outlet.
10 / 62
13. Head Node
I A base station that serves as a
gateway between wired and
wireless networks.
I A center for fusion of data
from distributed sensors.
I Equipped with a powerful
processor and supplied power
from outlet.
10 / 62
14. Sensor Node
I Measuring data and/or detect
events with sensors and
connected to a WSN only
through wireless channels.
I Limited in processing and
battery-powered.
11 / 62
15. Sensor Node
I Measuring data and/or detect
events with sensors and
connected to a WSN only
through wireless channels.
I Limited in processing and
battery-powered.
11 / 62
16. Design Goals
I Achieving sub-microsecond time synchronization
accuracy
I Through propagation delay compensation.
I With higher energy efficiency at battery-powered
sensor nodes
I Minimize the number of packet transmissions and the
amount of computation at sensor nodes.
12 / 62
17. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Hardware and Logical Clock Models
Effect of Clock Skew on Measurement Time
Estimation
Asynchronous Source Clock Frequency Recovery at
Sensor Nodes: One-Way Clock Skew Estimation
Simulation Results
Performance of One-Way Clock Skew Estimation
Performance of Measurement Time Estimation and
Energy Efficiency
Effect of Bundling of Measurement Data
Next Steps: Multi-Hop Time Synchronization
Conclusions
13 / 62
18. Two Kinds of Synchronization
I Phase.
I Frequency.
14 / 62
19. Two Kinds of Synchronization
I Phase. I Frequency.
14 / 62
20. Effects of Time and Space
The effects of time and space are so closely related that
they cannot be easily separated from each other as in the
following examples:
I Synchronization and localization accuracies.
I In time-based localization.
I e.g. Time of arrival (TOA).
I Clock offset and propagation delay.
I In one-way synchronization.
I e.g. Flooding time synchronization protocol (FTSP).
15 / 62
21. Synchronization and Localization Accuracies
I Accuracies
I 1 ms ā 300 km
I 1 Āµs ā 300 m
I 1 ns ā 30 cm
I 1 ps ā 0.3 mm
I Time-based localization schemes
I Time of arrival (TOA)
I Time difference of arrival (TDOA)
I A special variation of TDOA with virtual anchors does
not require synchronization among devices.
ā See the next slide.
16 / 62
22. TDOA with Virtual Anchors 6
Anchor
Agent
Virtual
Anchors
6
E. Leitinger et al., IEEE J. Sel. Areas Commun., vol. 33, no. 11, pp.
2313ā2328, Nov. 2015.
17 / 62
23. Clock Offset and Propagation Delay
Can the receiver distinguish between the following two
cases if Īø = d?
Packet with
Timestamp T vs. Packet with
Timestamp T
TX
RX
TX
RX
ā¢ : Clock offset
ā¢ : Propagation delay
I Answer is āNoā.
I Two-way message exchanges needed for delay
compensation.
18 / 62
24. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Hardware and Logical Clock Models
Effect of Clock Skew on Measurement Time
Estimation
Asynchronous Source Clock Frequency Recovery at
Sensor Nodes: One-Way Clock Skew Estimation
Simulation Results
Performance of One-Way Clock Skew Estimation
Performance of Measurement Time Estimation and
Energy Efficiency
Effect of Bundling of Measurement Data
Next Steps: Multi-Hop Time Synchronization
Conclusions
19 / 62
25. Background
Synchronous
SCFR Method
(IEEE/ACM ToN, 1995)
Periodic Asynchronous
SCFR Method
(IEEE ToC, 2000)
Aperiodic Asynchronous
SCFR Method
(IEEE CL, 2013)
Establishment of
Clock Offset and
Propagation Delay
Duality
(IEEE CL, 2014)
Energy-Efficient
Time Synchronization
Scheme
(IEEE ToC, 2017)
No Common
Network Clock
CBR to
VBR Stream
One-Way to
Two-Way
Communication
20 / 62
26. Conventional Two-Way Message Exchanges I
Master
sHead Node)
Slave
sSensor Node)
Measurement
Interval of Time Sync. si.e., 2-Way Message Exchange)
ā¦
ā¦
Report
Request
Response
Report
Measurement
T1
T2
T4
T3
I Sensor nodes transmit āRequestā messages for
synchronization.
I In addition to measurement data packets.
21 / 62
27. Conventional Two-Way Message Exchanges
II
I The sensor node can estimate its clock offset w.r.t. the
head node and synchronize its clock to that of the
head node:
I Clock offset: ĪøĢ =
(T2 ā T1) ā (T4 ā T3)
2
.
I Propagation delay: Ė
d =
(T2 ā T1) + (T4 ā T3)
2
.
22 / 62
28. Reverse Two-Way Message Exchanges I
Master
sHead Node)
Slave
sSensor Node)
Beacon/
Request
sMeasurement)
Report/
Response
T1 T4
T3
T2
d
tm
I Sensor nodes do not transmit any other messages
except āRequest/Responseā messages.
I If there are no measurement data, sensor nodes just
receive messages.
23 / 62
29. Reverse Two-Way Message Exchanges II
I The head node can estimate the clock offset of the
sensor node, but the sensor node cannot.
I As a result, the information of all sensor node clocks
is centrally managed at the head node.
I āResponseā (synchronization) and āReportā
(measurement data) messages can be combined to
save the number of message transmissions from the
sensor node.
I Optionally measurement data and corresponding
timestamps can be bundled together in a
āReport/Responseā message when there are no strict
timing requirements.
24 / 62
30. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Hardware and Logical Clock Models
Effect of Clock Skew on Measurement Time
Estimation
Asynchronous Source Clock Frequency Recovery at
Sensor Nodes: One-Way Clock Skew Estimation
Simulation Results
Next Steps: Multi-Hop Time Synchronization 25 / 62
31. Hardware Clock Model
Time Ti of the hardware clock of the ith sensor node at the
reference time t is modeled as a first-order affine function:
Ti(t) = (1 + i)t + Īøi,
where
I (1 + i) ā R+: Clock frequency ratio.7
I Īøi ā R: Clock offset.
7
i is called a clock skew in the literature.
26 / 62
32. Logical Clock Model
Time Ti of the logical clock of the ith sensor node at
hardware clock time Ti(t) is modeled as a piecewise linear
function: For tktā¤tk+1 (k=0, 1, . . .),
Ti
Ti(t)
= Ti
Ti(tk)
+
Ti(t) ā Ti(tk)
1 + Ė
i,k
ā ĪøĢi,k,
where
I tk: Reference time when a kth synchronization occurs.
I Ė
i,k: Estimated clock skew from the kth
synchronization.
I ĪøĢi,k: Estimated clock offset from the kth
synchronization.
27 / 62
33. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Hardware and Logical Clock Models
Effect of Clock Skew on Measurement Time
Estimation
Asynchronous Source Clock Frequency Recovery at
Sensor Nodes: One-Way Clock Skew Estimation
Simulation Results
Next Steps: Multi-Hop Time Synchronization 28 / 62
34. Measurement Time Estimation Error:
Conventional Two-Way Message Exchanges
Master
sHead Node)
Slave
sSensor Node)
Measurement
Request
Response
Report
s1
s2ās3
s4
d
tm
I When Tmd,
ātĢConv.
m ā¼ Tm Ć āĖ
i,
where āĖ
i is the clock skew estimation error.
29 / 62
35. Measurement Time Estimation Error:
Reverse Two-Way Message Exchanges
Master
sHead Node)
Slave
sSensor Node)
Beacon/
Request
sMeasurement)
Report/
Response
T1 T4
T3
T2
d
tm
I When Tmd,
ātĢRev.
m ā¼
Tm
2
Ć āĖ
i.
30 / 62
36. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Hardware and Logical Clock Models
Effect of Clock Skew on Measurement Time
Estimation
Asynchronous Source Clock Frequency Recovery at
Sensor Nodes: One-Way Clock Skew Estimation
Simulation Results
Next Steps: Multi-Hop Time Synchronization 31 / 62
37. Message Departure and Arrival Times
I Let td(k) (k=0, 1, . . .) be the reference time for the kth
messageās departure from the head node.
I td(k) also denotes the value of the timestamp carried
by the kth message.
I Then the arrival time of the kth message with respect
to the ith sensor nodeās hardware clock is given by
ta,i(k) = Ti (td(k)) + d(k) = (1 + i)td(k) + Īøi + d(k),
where
I d(k): One-way propagation delay in terms of the ith
sensor nodeās hardware clock.
32 / 62
41. Joint Maximum Likelihood Estimators
For a white Gaussian delay d(k) with known mean d and
variance Ļ2
,
ĪøĢML
i (k) =
t2
d
Ā· ta,i ā td Ā· tdta,i
t2
d
ā
td
2
ā d,
RĢML
i (k) =
tdta,i ā td Ā· ta,i
t2
d
ā
td
2
,
where
I x ,
Pk
j=0
x(j)
k
,
I xy ,
Pk
j=0
x(j)y(j)
k
.
36 / 62
42. Regression through The Origin (RTO) Model
The problem of asynchronous source clock frequency
recovery (SCFR) can be formulated as a linear RTO model
as follows: For k = 1, 2, . . .,
tĢa,i(k) = (1 + i)tĢd(k) + Ė
d(k),
where
I tĢa,i(k),ta,i(k)āta,i(0),
I tĢd(k),td(k)ātd(0),
I Ė
d(k),d(k)ād(0).
37 / 62
44. Cumulative Ratio (CR) Estimator
RĢCR
i (k) =
tĢa,i(k)
tĢd(k)
= Ri +
Ė
d(k)
tĢs(k)
,
where
I Ri: Ratio of the ith sensor node hardware clock
frequency to that of the reference clock (i.e., 1+i).
39 / 62
45. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Hardware and Logical Clock Models
Effect of Clock Skew on Measurement Time
Estimation
Asynchronous Source Clock Frequency Recovery at
Sensor Nodes: One-Way Clock Skew Estimation
Simulation Results
Performance of One-Way Clock Skew Estimation
Performance of Measurement Time Estimation and
Energy Efficiency
Effect of Bundling of Measurement Data
Next Steps: Multi-Hop Time Synchronization
Conclusions
40 / 62
46. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Simulation Results
Performance of One-Way Clock Skew Estimation
Performance of Measurement Time Estimation and
Energy Efficiency
Effect of Bundling of Measurement Data
Next Steps: Multi-Hop Time Synchronization
41 / 62
47. Estimated Clock Skews with Gaussian Delays: Ļ=1 ns
5 10 15 20 25 30 35 40 45 50
Number of Messages
10ā21
10ā20
10ā19
10ā18
10ā17
10ā16
10ā15
MSE
RLS
CR
Joint MLE
GMLLE (Two-Way)
LB for CR
CRLB for Joint MLE
LB for GMLLE
42 / 62
48. Estimated Clock Skews with Gaussian Delays: Ļ=1 Āµs
5 10 15 20 25 30 35 40 45 50
Number of Messages
10ā15
10ā14
10ā13
10ā12
10ā11
10ā10
10ā9
MSE
RLS
CR
Joint MLE
GMLLE (Two-Way)
LB for CR
CRLB for Joint MLE
LB for GMLLE
43 / 62
50. Estimated Clock Skews with AR(1) Delays: Ļ=1 ms
5 10 15 20 25 30 35 40 45 50
Number of Messages
10ā8
10ā7
10ā6
10ā5
10ā4
MSE
RLS
CR
Joint MLE
GMLLE (Two-Way)
45 / 62
51. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Simulation Results
Performance of One-Way Clock Skew Estimation
Performance of Measurement Time Estimation and
Energy Efficiency
Effect of Bundling of Measurement Data
Next Steps: Multi-Hop Time Synchronization
46 / 62
52. Estimated Frequency Ratio (Sensor Node) and
Measurement Time (Head Node): SI=100 s
-4E-11
-2E-11
0E+00
2E-11
4E-11
Frequency
Difference
[ppm]
Proposed (w/ CR)
Two-Way (w/ GMLLE)
0 500 1000 1500 2000 2500 3000 3500
Time [s]
-1E-02
-8E-03
-6E-03
-4E-03
-2E-03
0E+00
2E-03
4E-03
Measurement
Time
Error
[s]
Proposed (w/ CR)
Two-Way (w/ GMLLE)
Two-Way
47 / 62
53. Estimated Frequency Ratio (Sensor Node) and
Measurement Time (Head Node): SI=1 s
-4E-11
-2E-11
0E+00
2E-11
4E-11
Frequency
Difference
[ppm]
Proposed (w/ CR)
Two-Way (w/ GMLLE)
0 500 1000 1500 2000 2500 3000 3500
Time [s]
-1E-04
-8E-05
-6E-05
-4E-05
-2E-05
0E+00
2E-05
4E-05
Measurement
Time
Error
[s]
Proposed (w/ CR)
Two-Way (w/ GMLLE)
Two-Way
48 / 62
54. Estimated Frequency Ratio (Sensor Node) and
Measurement Time (Head Node): SI=1 ms
-4E-11
-2E-11
0E+00
2E-11
4E-11
Frequency
Difference
[ppm]
Proposed (w/ CR)
Two-Way (w/ GMLLE)
0 500 1000 1500 2000 2500 3000 3500
Time [s]
-1E-06
-8E-07
-6E-07
-4E-07
-2E-07
0E+00
2E-07
4E-07
Measurement
Time
Error
[s]
Proposed (w/ CR)
Two-Way (w/ GMLLE)
Two-Way
49 / 62
55. Effect of SI on Time Synchronization and
Energy Consumption9
Synchronization Skew Estimation Measurement Time
NTX NRX
Scheme MSE Estimation MSE
Proposed
SI=100 s 8.8811E-25 5.8990E-19 100 36
SI=1 s 9.1748E-25 5.4210E-19 100 3600
SI=10 ms 1.0887E-24 4.7684E-19 100 360100
Two-Way with GMLLE
SI=100 s 1.9021E-24 4.7784E-19 136 36
SI=1 s 1.7034E-24 6.1452E-19 3700 3600
SI=10 ms 9.0992E-25 4.0485E-19 360100 360000
Two-Way
SI=100 s
N/A
3.4900E-05 136 36
SI=1 s 3.4564E-09 3700 3600
SI=10 ms 3.3638E-13 360100 360000
9
Estimations are for the samples taken after 360 s (i.e., one tenth of
the observation period) to avoid the effect of a transient period.
50 / 62
56. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Simulation Results
Performance of One-Way Clock Skew Estimation
Performance of Measurement Time Estimation and
Energy Efficiency
Effect of Bundling of Measurement Data
Next Steps: Multi-Hop Time Synchronization
51 / 62
57. Effect of Bundling on Measurement Time Estimation10
0 500 1000 1500 2000 2500 3000 3500
Time [s]
-2.0E-09
-1.0E-09
0.0E+00
1.0E-09
2.0E-09
Measurement
Time
Error
[s]
NBM=1
NBM=2
NBM=5
NBM=10
10
SI = 1 s.
52 / 62
58. Effect of Bundling on Time Synchronization and
Energy Consumption
Synchronization Scheme
Measurement Time
NTX NRX
Estimation MSE
Proposed
NBM = 1 5.4210E-19 100 3600
NBM = 2 5.1116E-19 50 3600
NBM = 5 3.7504E-19 20 3600
NBM = 10 2.6468E-19 10 3600
I In interpreting the results, the following should be
taken into account:
I The bundling increases the length of message
payload.
I The increased message payload also can affect the
frame errors and the number of retransmissions.
53 / 62
59. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Hardware and Logical Clock Models
Effect of Clock Skew on Measurement Time
Estimation
Asynchronous Source Clock Frequency Recovery at
Sensor Nodes: One-Way Clock Skew Estimation
Simulation Results
Performance of One-Way Clock Skew Estimation
Performance of Measurement Time Estimation and
Energy Efficiency
Effect of Bundling of Measurement Data
Next Steps: Multi-Hop Time Synchronization
Conclusions
54 / 62
61. Challenges and Opportunities
I Tradeoff between time-translating and
packet-relaying gateways..
I The multi-hop extension should be implemented
together with a routing protocol.
I As in LEACH protocol11 and its many variations, the
energy efficiency is also critical in the formation of a
hierarchy and the selection of cluster heads (i.e., the
gateway nodes in the multi-hop extension of the
proposed scheme).
11
W. R. Heinzelman et al., Proc. HICSSā00, Jan. 2000, pp. 1ā10.
56 / 62
62. Challenges and Opportunities
I Tradeoff between time-translating and
packet-relaying gateways..
I The multi-hop extension should be implemented
together with a routing protocol.
I As in LEACH protocol11 and its many variations, the
energy efficiency is also critical in the formation of a
hierarchy and the selection of cluster heads (i.e., the
gateway nodes in the multi-hop extension of the
proposed scheme).
11
W. R. Heinzelman et al., Proc. HICSSā00, Jan. 2000, pp. 1ā10.
56 / 62
63. Challenges and Opportunities
I Tradeoff between time-translating and
packet-relaying gateways..
I The multi-hop extension should be implemented
together with a routing protocol.
I As in LEACH protocol11 and its many variations, the
energy efficiency is also critical in the formation of a
hierarchy and the selection of cluster heads (i.e., the
gateway nodes in the multi-hop extension of the
proposed scheme).
11
W. R. Heinzelman et al., Proc. HICSSā00, Jan. 2000, pp. 1ā10.
56 / 62
64. Next . . .
Wireless Sensor Networks
Time and Space in Synchronization
Energy-Efficient Time Synchronization for Asymmetric
Wireless Sensor Networks
Hardware and Logical Clock Models
Effect of Clock Skew on Measurement Time
Estimation
Asynchronous Source Clock Frequency Recovery at
Sensor Nodes: One-Way Clock Skew Estimation
Simulation Results
Performance of One-Way Clock Skew Estimation
Performance of Measurement Time Estimation and
Energy Efficiency
Effect of Bundling of Measurement Data
Next Steps: Multi-Hop Time Synchronization
Conclusions
57 / 62
65. Conclusions
I Propose an energy-efficient time synchronization
scheme for asymmetric wireless sensor networks
achieving sub-microsecond time synchronization
accuracy, which is based on
I Asynchronous SCFR for one-way clock skew
estimation/compensation at sensor nodes;
I Reverse two-way message exchanges for clock offset
estimation/translation at the head node.
I Also, discuss the optional bundling of measurement
data in a āReport/Responseā message.
I If there are no strict timing requirements, the
bundling can further reduce the number of message
transmissions without significantly affecting the time
synchronization performance.
58 / 62
66. Conclusions
I Propose an energy-efficient time synchronization
scheme for asymmetric wireless sensor networks
achieving sub-microsecond time synchronization
accuracy, which is based on
I Asynchronous SCFR for one-way clock skew
estimation/compensation at sensor nodes;
I Reverse two-way message exchanges for clock offset
estimation/translation at the head node.
I Also, discuss the optional bundling of measurement
data in a āReport/Responseā message.
I If there are no strict timing requirements, the
bundling can further reduce the number of message
transmissions without significantly affecting the time
synchronization performance.
58 / 62
67. Conclusions
I Propose an energy-efficient time synchronization
scheme for asymmetric wireless sensor networks
achieving sub-microsecond time synchronization
accuracy, which is based on
I Asynchronous SCFR for one-way clock skew
estimation/compensation at sensor nodes;
I Reverse two-way message exchanges for clock offset
estimation/translation at the head node.
I Also, discuss the optional bundling of measurement
data in a āReport/Responseā message.
I If there are no strict timing requirements, the
bundling can further reduce the number of message
transmissions without significantly affecting the time
synchronization performance.
58 / 62
68. Conclusions
I Propose an energy-efficient time synchronization
scheme for asymmetric wireless sensor networks
achieving sub-microsecond time synchronization
accuracy, which is based on
I Asynchronous SCFR for one-way clock skew
estimation/compensation at sensor nodes;
I Reverse two-way message exchanges for clock offset
estimation/translation at the head node.
I Also, discuss the optional bundling of measurement
data in a āReport/Responseā message.
I If there are no strict timing requirements, the
bundling can further reduce the number of message
transmissions without significantly affecting the time
synchronization performance.
58 / 62
69. Conclusions
I Propose an energy-efficient time synchronization
scheme for asymmetric wireless sensor networks
achieving sub-microsecond time synchronization
accuracy, which is based on
I Asynchronous SCFR for one-way clock skew
estimation/compensation at sensor nodes;
I Reverse two-way message exchanges for clock offset
estimation/translation at the head node.
I Also, discuss the optional bundling of measurement
data in a āReport/Responseā message.
I If there are no strict timing requirements, the
bundling can further reduce the number of message
transmissions without significantly affecting the time
synchronization performance.
58 / 62
70. Topics of Ongoing and Further Studies I
I Design and implementation of hardware-oriented
multi-hop synchronization schemes.
I Demonstration of the proposed schemes through a
real testbed
I Energy-delay tradeoff and the effect of frame errors
and retransmissions in measurement data bundling.
59 / 62
71. Topics of Ongoing and Further Studies I
I Design and implementation of hardware-oriented
multi-hop synchronization schemes.
I Demonstration of the proposed schemes through a
real testbed
I Energy-delay tradeoff and the effect of frame errors
and retransmissions in measurement data bundling.
59 / 62
72. Topics of Ongoing and Further Studies I
I Design and implementation of hardware-oriented
multi-hop synchronization schemes.
I Demonstration of the proposed schemes through a
real testbed
I Energy-delay tradeoff and the effect of frame errors
and retransmissions in measurement data bundling.
59 / 62
73. Topics of Ongoing and Further Studies II
I Joint time
synchronization
and ranging.
I e.g., drone
networks.
I Indoor localization with wireless
fingerprints based on ANNs
trained by evolutionary algorithms.
I See the next slide for details.
60 / 62
74. Topics of Ongoing and Further Studies II
I Joint time
synchronization
and ranging.
I e.g., drone
networks.
I Indoor localization with wireless
fingerprints based on ANNs
trained by evolutionary algorithms.
I See the next slide for details.
60 / 62
75. Topics of Ongoing and Further Studies II
I Joint time
synchronization
and ranging.
I e.g., drone
networks.
I Indoor localization with wireless
fingerprints based on ANNs
trained by evolutionary algorithms.
I See the next slide for details.
60 / 62
76. Topics of Ongoing and Further Studies II
I Joint time
synchronization
and ranging.
I e.g., drone
networks.
I Indoor localization with wireless
fingerprints based on ANNs
trained by evolutionary algorithms.
I See the next slide for details.
60 / 62