Energy-Efficient Communication Protocol for Wireless Microsensor Networks
Wendi Rabiner Heinzelman, Anantha Chandrakasan, and Hari Balakrishnan
Massachusetts Institute of Technology
Cambridge, MA 02139
fwendi, anantha, harig@mit.edu
Abstract
Wireless distributed microsensor systems will enable the
reliable monitoring of a variety of environments for both
civil and military applications. In this paper, we look at
communication protocols, which can have significant im-
pact on the overall energy dissipation of these networks.
Based on our findings that the conventional protocols of
direct transmission, minimum-transmission-energy, multi-
hop routing, and static clustering may not be optimal for
sensor networks, we propose LEACH (Low-Energy Adap-
tive Clustering Hierarchy), a clustering-based protocol that
utilizes randomized rotation of local cluster base stations
(cluster-heads) to evenly distribute the energy load among
the sensors in the network. LEACH uses localized coordi-
nation to enable scalability and robustness for dynamic net-
works, and incorporates data fusion into the routing proto-
col to reduce the amount of information that must be trans-
mitted to the base station. Simulations show that LEACH
can achieve as much as a factor of 8 reduction in energy
dissipation compared with conventional routing protocols.
In addition, LEACH is able to distribute energy dissipation
evenly throughout the sensors, doubling the useful system
lifetime for the networks we simulated.
1. Introduction
Recent advances in MEMS-based sensor technology,
low-power analog and digital electronics, and low-power
RF design have enabled the development of relatively in-
expensive and low-power wireless microsensors [2, 3, 4].
These sensors are not as reliable or as accurate as their ex-
pensive macrosensor counterparts, but their size and cost
enable applications to network hundreds or thousands of
these microsensors in order to achieve high quality, fault-
tolerant sensing networks. Reliable environment monitor-
ing is important in a variety of commercial and military
applications. For example, for a security system, acoustic,
seismic, and video sensors can be used to form an ad hoc
network to detect intrusions. Microsensors can also be used
to monitor machines for fault detection and diagnosis.
Microsensor networks can contain hundreds or thou-
sands of sensing nodes. It is desirable to make these nodes
as cheap and energy-efficient as possible and rely on their
large numbers to obtain high quality results. Network pro-
tocols must be designed to achieve fault tolerance in the
presence of individual node failure while minimizing en-
ergy consumption. In addition, since the limited wireless
channel bandwidth must be shared among all the sensors
in the network, routing protocols for these networks should
be able to perform local collaboration to reduce bandwidth
requirements.
Eventually, the data being sensed by the nodes in the net-
work must be transmitted to a control center or base station,
where the end-user can access the data. There are many pos-
sible models for these microsensor networks. In this work,
we consider microsensor networks where:
The base station is fixed and located far from the sen-
sors.
All nodes in the network are homogeneous and energy-
constrained.
Thus, communication between the sensor nodes and the
base station is expensive, and there are no “high-energy”
nodes through which communication can proceed. This is
the framework for MIT’s -AMPS project, which focuses
on innovative energy-optimized solutions at all levels of the
system hierarchy, from the physical layer and communica-
tion protocols up to the application layer and efficient DSP
design for microsensor nodes.
Sensor networks contain too much data for an end-user
to process. Therefore, automated methods of combining or
aggregating the data into a small set of meaningful informa-
tion is required [7, 8]. In addition to helping avoid informa-
tion overload, data aggregation, also known as data fusion,
can combine several unreliable data measurements to pro-
duce a more accurate signal by enhancing the common sig-
nal and reducing the uncorrelated noise. The classification
performed on the aggregated data might be performed by a
human operator or automatically. Both the method of per-
forming data aggregation and the classification algorithm
are application-specific. For example, acoustic signals are
often combined using a beamforming algorithm [5, 17] to
reduce several signals into a single signal that contains the
relevant information of all the individual signals. Large en-
ergy gains can be achieved by performing the data fusion or
classification algorithm locally, thereby requiring much less
data to be transmitted to the base station.
By analyzing the advantages and disadvantages of con-
ventional routing protocols using our model of sensor net-
works, we have developed LEACH (Low-Energy Adaptive
Clustering Hierarchy), a clustering-based protocol that min-
imizes energy dissipation in sensor networks. The key fea-
tures of LEACH are:
Localized coordination and control for cluster set-up
and operation.
Randomized rotation of the cluster “base stations” or
“cluster-heads” and the corresponding clusters.
Local compression to reduce global communication.
The use of clusters for transmitting data to the base sta-
tion leverages the advantages of small transmit distances
for most nodes, requiring only a few nodes to transmit
far distances to the base station. However, LEACH out-
performs classical clustering algorithms by using adaptive
clusters and rotating cluster-heads, allowing the energy re-
quirements of the system to be distributed among all the
sensors. In addition, LEACH is able to perform local com-
putation in each cluster to reduce the amount of data that
must be transmitted to the base station. This achieves a large
reduction in the energy dissipation, as computation is much
cheaper than communication.
2. First Order Radio Model
k bit packet
ETx(d)
Transmit
Electronics
Eelec* k
Tx Amplifier
amp* k * d2
d
k bit packet
ERx
Receive
Electronics
Eelec* k
Figure 1. First order radio model.
Table 1. Radio characteristics.
Operation
Transmitter Electronics (ET xelec)
Receiver Electronics (ERxelec)
(ET xelec = ERxelec = Eelec)
Transmit Amplifier ( amp)
Energy Dissipated
50 nJ/bit
100 pJ/bit/m
radio expends:
ET xk; d = ET xeleck + ET xampk; d
ET xk; d = Eelec k + amp k d
and to receive this message, the radio expends:
ERxk = ERxeleck
ERxk = Eelec k
(1)
(2)
Currently, there is a great deal of research in the area of
low-energy radios. Different assumptions about the radio
characteristics, including energy dissipation in the transmit
and receive modes, will change the advantages of different
protocols. In our work, we assume a simple model where
the radio dissipates Eelec = nJ/bit to run the transmit-
ter or receiver circuitry and amp = pJ/bit/m for the
transmit amplifier to achieve an acceptable Eb
(see Figure 1
No
and Table 1). These parameters are slightly better than the
current state-of-the-art in radio design. We also assume an
r energy loss due to channel transmission. Thus, to trans-
mit a k-bit message a distance d using our radio model, the
For example, the Bluetooth initiative [1] specifies 700 Kbps radios that
operate at 2.7 V and 30 mA, or 115 nJ/bit.
For these parameter values, receiving a message is not a low
cost operation; the protocols should thus try to minimize not
only the transmit distances but also the number of transmit
and receive operations for each message.
We make the assumption that the radio channel is sym-
metric such that the energy required to transmit a message
from node A to node B is the same as the energy required
to transmit a message from node B to node A for a given
SNR. For our experiments, we also assume that all sensors
are sensing the environment at a fixed rate and thus always
have data to send to the end-user. For future versions of our
protocol, we will implement an ”event-driven” simulation,
where sensors only transmit data if some event occurs in the
environment.
e
3. Energy Analysis of Routing Protocols
There have been several network routing protocols pro-
posed for wireless networks that can be examined in the
context of wireless sensor networks. We examine two such
protocols, namely direct communication with the base sta-
tion and minimum-energy multi-hop routing using our sen-
sor network and radio models. In addition, we discuss a
conventional clustering approach to routing and the draw-
backs of using such an approach when the nodes are all
energy-constrained.
Using a direct communication protocol, each sensor
sends its data directly to the base station. If the base sta-
tion is far away from the nodes, direct communication will
require a large amount of transmit power from each node
(since d in Equation 1 is large). This will quickly drain the
battery of the nodes and reduce the system lifetime. How-
ever, the only receptions in this protocol occur at the base
station, so if either the base station is close to the nodes, or
the energy required to receive data is large, this may be an
acceptable (and possibly optimal) method of communica-
tion.
The second conventional approach we consider is a
“minimum-energy” routing protocol. There are several
power-aware routing protocols discussed in the literature [6,
9, 10, 14, 15].
In these protocols, nodes route data des-
tined ultimately for the base station through intermediate
nodes. Thus nodes act as routers for other nodes’ data in
addition to sensing the environment. These protocols dif-
fer in the way the routes are chosen. Some of these proto-
cols [6, 10, 14], only consider the energy of the transmitter
and neglect the energy dissipation of the receivers in de-
termining the routes. In this case, the intermediate nodes
are chosen such that the transmit amplifier energy (e.g.,
ET xampk; d = amp k d) is minimized; thus node
A would transmit to node C through node B if and only if:
ET xampk; d = dAB + ET xampk; d = dBC
ET xampk; d = dAC
(3)
or
BC d
AC
AB + d
d
(4)
However, for this minimum-transmission-energy (MTE)
routing protocol, rather than just one (high-energy) trans-
mit of the data, each data message must go through n (low-
energy) transmits and n receives. Depending on the rela-
tive costs of the transmit amplifier and the radio electronics,
the total energy expended in the system might actually be
greater using MTE routing than direct transmission to the
base station.
To illustrate this point, consider the linear network
shown in Figure 2, where the distance between the nodes
is r. If we consider the energy expended transmitting a sin-
gle k-bit message from a node located a distance nr from
n nodes
r
Base
Station
Figure 2. Simple linear network.
the base station using the direct communication approach
and Equations 1 and 2, we have:
Edirect = ET xk; d = n r
= Eelec k + amp k nr
= kEelec + ampnr
(5)
In MTE routing, each node sends a message to the closest
node on the way to the base station. Thus the node located a
distance nr from the base station would require n transmits
a distance r and n receives.
EM T E = n ET xk; d = r + n ERxk
= nEelec k + amp k r + n Eelec k
= kn Eelec + ampnr
(6)
Therefore, direct communication requires less energy than
MTE routing if:
Edirect EM T E
Eelec + ampnr n Eelec + ampnr
rn
Eelec
amp
(7)
Using Equations 1 - 6 and the random 100-node network
shown in Figure 3, we simulated transmission of data from
every node to the base station (located 100 m from the clos-
est sensor node, at (x=0, y=-100)) using MATLAB. Figure 4
shows the total energy expended in the system as the net-
work diameter increases from 10 m 10 m to 100 m 100
m and the energy expended in the radio electronics (i.e.,
Eelec) increases from 10 nJ/bit to 100 nJ/bit, for the sce-
nario where each node has a 2000-bit data packet to send to
the base station. This shows that, as predicted by our anal-
ysis above, when transmission energy is on the same order
as receive energy, which occurs when transmission distance
is short and/or the radio electronics energy is high, direct
transmission is more energy-efficient on a global scale than
MTE routing. Thus the most energy-efficient protocol to
use depends on the network topology and radio parameters
of the system.
50
45
40
35
30
25
20
15
10
5
0
−25
0.55
0.5
0.45
0.4
0.35
0.3
0.25
0.2
1
x 10−7
−20
−15
−10
−5
0
5
10
15
20
25
Figure 3. 100-node random network.
MTE −>
Direct
|v
0.8
0.6
0.4
0.2
40
20
100
80
60
l
)
s
e
u
o
J
(
i
m
e
t
s
y
s
n
i
d
e
t
a
p
s
s
d
y
g
r
e
n
e
l
a
t
o
T
i
Electronics energy (Joules/bit)
0
0
Network diameter (m)
Figure 4. Total energy dissipated in the 100-
node random network using direct commu-
nication and MTE routing (i.e., Edirect and
EM T E). amp = pJ/bit/m, and the mes-
sages are 2000 bits.
e
v
i
l
a
l
l
i
t
s
s
r
o
s
n
e
s
f
o
r
e
b
m
u
N
100
90
80
70
60
50
40
30
20
10
0
0
Direct
MTE
50
100
150
200
250
300
350
400
450
500
Time steps (rounds)
Figure 5. System lifetime using direct trans-
mission and MTE routing with 0.5 J/node.
It is clear that in MTE routing, the nodes closest to the
base station will be used to route a large number of data
messages to the base station. Thus these nodes will die out
quickly, causing the energy required to get the remaining
data to the base station to increase and more nodes to die.
This will create a cascading effect that will shorten system
lifetime. In addition, as nodes close to the base station die,
that area of the environment is no longer being monitored.
To prove this point, we ran simulations using the random
100-node network shown in Figure 3 and had each sensor
send a 2000-bit data packet to the base station during each
time step or “round” of the simulation. After the energy
dissipated in a given node reached a set threshold, that node
was considered dead for the remainder of the simulation.
Figure 5 shows the number of sensors that remain alive after
each round for direct transmission and MTE routing with
each node initially given 0.5 J of energy. This plot shows
that nodes die out quicker using MTE routing than direct
transmission. Figure 6 shows that nodes closest to the base
station are the ones to die out first for MTE routing, whereas
nodes furthest from the base station are the ones to die out
first for direct transmission. This is as expected, since the
nodes close to the base station are the ones most used as
“routers” for other sensors’ data in MTE routing, and the
nodes furthest from the base station have the largest transmit
energy in direct communication.
A final conventional protocol for wireless networks is
clustering, where nodes are organized into clusters that
communicate with a local base station, and these local base
stations transmit the data to the global base station, where it
is accessed by the end-user. This greatly reduces the dis-
tance nodes need to transmit their data, as typically the
local base station is close to all the nodes in the cluster.
i
t
e
a
n
d
r
o
o
c
−
Y
50
45
40
35
30
25
20
15
10
5
0
−25
−20
−15
−10
−5
0
X−coordinate
5
10
15
20
25
50
45
40
35
e
t
i
a
n
d
r
o
o
c
−
Y
30
25
20
15
10
5
0
−25
−20
−15
−10
−5
0
X−coordinate
5
10
15
20
25
Figure 6. Sensors that remain alive (circles)
and those that are dead (dots) after 180
rounds with 0.5 J/node for (a) direct trans-
mission and (b) MTE routing.
Thus, clustering appears to be an energy-efficient commu-
nication protocol. However, the local base station is as-
sumed to be a high-energy node; if the base station is an
energy-constrained node, it would die quickly, as it is be-
ing heavily utilized. Thus, conventional clustering would
perform poorly for our model of microsensor networks.
The Near Term Digital Radio (NTDR) project [12, 16], an
army-sponsored program, employs an adaptive clustering
approach, similar to our work discussed here. In this work,
cluster-heads change as nodes move in order to keep the
network fully connected. However, the NTDR protocol is
designed for long-range communication, on the order of 10s
of kilometers, and consumes large amounts of power, on the
order of 10s of Watts. Therefore, this protocol also does not
fit our model of sensor networks.
4. LEACH: Low-Energy Adaptive Clustering
Hierarchy
LEACH is a self-organizing, adaptive clustering protocol
that uses randomization to distribute the energy load evenly
among the sensors in the network. In LEACH, the nodes
organize themselves into local clusters, with one node act-
ing as the local base station or cluster-head. If the cluster-
heads were chosen a priori and fixed throughout the system
lifetime, as in conventional clustering algorithms, it is easy
to see that the unlucky sensors chosen to be cluster-heads
would die quickly, ending the useful lifetime of all nodes
belonging to those clusters. Thus LEACH includes random-
ized rotation of the high-energy cluster-head position such
that it rotates among the various sensors in order to not drain
the battery of a single sensor. In addition, LEACH performs
local data fusion to “compress” the amount of data being
sent from the clusters to the base station, further reducing
energy dissipation and enhancing system lifetime.
Sensors elect themselves to be local cluster-heads at
any given time with a certain probability. These cluster-
head nodes broadcast their status to the other sensors in
the network. Each sensor node determines to which clus-
ter it wants to belong by choosing the cluster-head that re-
quires the minimum communication energy. Once all the
nodes are organized into clusters, each cluster-head creates
a schedule for the nodes in its cluster. This allows the radio
components of each non-cluster-head node to be turned off
at all times except during its transmit time, thus minimizing
the energy dissipated in the individual sensors. Once the
cluster-head has all the data from the nodes in its cluster, the
cluster-head node aggregates the data and then transmits the
compressed data to the base station. Since the base station
is far away in the scenario we are examining, this is a high
energy transmission. However, since there are only a few
cluster-heads, this only affects a small number of nodes.
As discussed previously, being a cluster-head drains the
battery of that node. In order to spread this energy usage
over multiple nodes, the cluster-head nodes are not fixed;
rather, this position is self-elected at different time intervals.
Thus a set C of nodes might elect themselves cluster-heads
at time t, but at time t + d a new set C of nodes elect
themselves as cluster-heads, as shown in Figure 7. The de-
cision to become a cluster-head depends on the amount of
energy left at the node. In this way, nodes with more en-
ergy remaining will perform the energy-intensive functions
of the network. Each node makes its decision about whether
to be a cluster-head independently of the other nodes in the
Note that typically this will be the cluster-head closest to the sensor.
However, if there is some obstacle impeding the communication between
two physically close nodes (e.g., a building, a tree, etc.) such that commu-
nication with another cluster-head, located further away, is easier, the sen-
sor will choose the cluster-head that is spatially further away but “closer”
in a communication sense.
1.1
1
0.9
n
o
i
t
0.8
i
a
p
s
s
d
i
y
g
r
e
n
e
d
e
z
i
l
a
m
r
o
N
0.7
0.6
0.5
0.4
0.3
0.2
Direct Trans
LEACH
−20
−15
−10
−5
0
5
10
15
20
25
0.1
0
10
20
30
40
Percent of nodes that are cluster heads
50
60
70
80
90
100
50
45
40
35
30
25
20
15
10
5
0
−25
50
45
40
35
30
25
20
15
10
5
0
−25
Figure 8. Normalized total system energy dis-
sipated versus the percent of nodes that are
cluster-heads. Note that direct transmission
is equivalent to 0 nodes being cluster-heads
or all the nodes being cluster-heads.
in the system to be large. If there are more than ^N cluster-
heads, the distance nodes have to transmit to reach the near-
est cluster-head does not reduce substantially, yet there are
more cluster-heads that have to transmit data the long-haul
distances to the base station, and there is less compression
being performed locally. For our system parameters and
topology, ^N = %.
Figure 8 also shows that LEACH can achieve over a fac-
tor of 7 reduction in energy dissipation compared to direct
communication with the base station, when using the opti-
mal number of cluster-heads. The main energy savings of
the LEACH protocol is due to combining lossy compression
with the data routing. There is clearly a trade-off between
the quality of the output and the amount of compression
achieved. In this case, some data from the individual sig-
nals is lost, but this results in a substantial reduction of the
overall energy dissipation of the system.
We simulated LEACH (with 5% of the nodes being
cluster-heads) using MATLAB with the random network
shown in Figure 3. Figure 9 shows how these algorithms
compare using Eelec = nJ/bit as the diameter of the net-
work is increased. This plot shows that LEACH achieves
between 7x and 8x reduction in energy compared with di-
rect communication and between 4x and 8x reduction in
energy compared with MTE routing. Figure 10 shows the
amount of energy dissipated using LEACH versus using di-
rect communication and LEACH versus MTE routing as the
network diameter is increased and the electronics energy
varies. This figure shows the large energy savings achieved
using LEACH for most of the parameter space.
−20
−15
−10
−5
0
5
10
15
20
25
Figure 7. Dynamic clusters: (a) cluster-head
nodes = C at time t (b) cluster-head nodes
= C at time t + d. All nodes marked with a
given symbol belong to the same cluster, and
the cluster-head nodes are marked with a .
network and thus no extra negotiation is required to deter-
mine the cluster-heads.
The system can determine, a priori, the optimal number
of clusters to have in the system. This will depend on sev-
eral parameters, such as the network topology and the rela-
tive costs of computation versus communication. We sim-
ulated the LEACH protocol for the random network shown
in Figure 3 using the radio parameters in Table 1 and a com-
putation cost of 5 nJ/bit/message to fuse 2000-bit messages
while varying the percentage of total nodes that are cluster-
heads. Figure 8 shows how the energy dissipation in the
system varies as the percent of nodes that are cluster-heads
is changed. Note that 0 cluster-heads and 100% cluster-
heads is the same as direct communication. From this plot,
we find that there exists an optimal percent of nodes ^N that
should be cluster-heads. If there are fewer than ^N cluster-
heads, some nodes in the network have to transmit their data
very far to reach the cluster-head, causing the global energy
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
l
)
s
e
u
o
J
(
m
e
t
s
y
s
n
i
d
e
t
i
a
p
s
s
d
i
y
g
r
e
n
e
l
t
a
o
T
Direct
MTE
LEACH
l
)
s
e
u
o
J
(
m
e
t
s
y
s
n
i
t
d
e
a
p
s
s
d
i
i
y
g
r
e
n
e
l
t
a
o
T
Direct −>
1
0.8
0.6
0.4
0.2
0
1
0.8
0.6
x 10−7
0.4
0.2
Electronics energy (Joules/bit)
0
0
140
160
180
200
LEACH
|v
200
50
150
100
Network diameter (m)
<− MTE
0
0
20
40
60
80
100
120
Network diameter (m)
Figure 9. Total system energy dissipated us-
ing direct communication, MTE routing and
LEACH for the 100-node random network
shown in Figure 3. Eelec = nJ/bit, amp =
pJ/bit/m, and the messages are 2000 bits.
In addition to reducing energy dissipation, LEACH suc-
cessfully distributes energy-usage among the nodes in the
network such that the nodes die randomly and at essentially
the same rate. Figure 11 shows a comparison of system
lifetime using LEACH versus direct communication, MTE
routing, and a conventional static clustering protocol, where
the cluster-heads and associated clusters are chosen initially
and remain fixed and data fusion is performed at the cluster-
heads, for the network shown in Figure 3. For this exper-
iment, each node was initially given 0.5 J of energy. Fig-
ure 11 shows that LEACH more than doubles the useful sys-
tem lifetime compared with the alternative approaches. We
ran similar experiments with different energy thresholds and
found that no matter how much energy each node is given,
it takes approximately 8 times longer for the first node to
die and approximately 3 times longer for the last node to
die in LEACH as it does in any of the other protocols. The
data from these experiments is shown in Table 2. The ad-
vantage of using dynamic clustering (LEACH) versus static
clustering can be clearly seen in Figure 11. Using a static
clustering algorithm, as soon as the cluster-head node dies,
all nodes from that cluster effectively die since there is no
way to get their data to the base station. While these simu-
lations do not account for the setup time to configure the
dynamic clusters (nor do they account for any necessary
routing start-up costs or updates as nodes die), they give
a good first order approximation of the lifetime extension
we can achieve using LEACH.
Another important advantage of LEACH, illustrated in
Figure 12, is the fact that nodes die in essentially a “ran-
l
)
s
e
u
o
J
(
m
e
t
s
y
s
i
i
n
i
d
e
t
a
p
s
s
d
y
g
r
e
n
e
l
a
t
o
T
0.6
0.5
0.4
0.3
0.2
0.1
0
1
LEACH
|v
0.8
0.6
x 10−7
0.4
0.2
Electronics energy (Joules/bit)
0
0
200
50
150
100
Network diameter (m)
Figure 10. Total system energy dissipated
using (a) direct communication and LEACH
and (b) MTE routing and LEACH for the ran-
dom network shown in Figure 3.
amp =
pJ/bit/m, and the messages are 2000 bits.
100
90
80
70
60
50
40
30
20
10
e
v
i
l
a
l
l
i
t
s
s
r
o
s
n
e
s
f
o
r
e
b
m
u
N
Direct
MTE
Static Clus
LEACH
0
0
200
400
600
800
Time steps (rounds)
1000
1200
1400
Figure 11. System lifetime using direct trans-
mission, MTE routing, static clustering, and
LEACH with 0.5 J/node.
Table 2. Lifetimes using different amounts of
initial energy for the sensors.
Energy
(J/node)
0.25
Protocol
Direct
MTE
Static Clustering
LEACH
Direct
MTE
Static Clustering
LEACH
Direct
MTE
Static Clustering
LEACH
0.5
1
Round first Round last
node dies
node dies
55
5
41
394
109
8
80
932
217
15
106
1848
117
221
67
665
234
429
110
1312
468
843
240
2608
dom” fashion. If Figure 12 is compared with Figure 6, we
see that the order in which nodes die using LEACH is much
more desirable than the order they die using direct commu-
nication or MTE routing. With random death, there is no
one section of the environment that is not being “sensed” as
nodes die, as occurs in the other protocols.
5. LEACH Algorithm Details
The operation of LEACH is broken up into rounds,
where each round begins with a set-up phase, when the clus-
ters are organized, followed by a steady-state phase, when
data transfers to the base station occur. In order to mini-
mize overhead, the steady-state phase is long compared to
the set-up phase.
5.1 Advertisement Phase
Initially, when clusters are being created, each node de-
cides whether or not to become a cluster-head for the current
round. This decision is based on the suggested percentage
of cluster heads for the network (determined a priori) and
the number of times the node has been a cluster-head so
far. This decision is made by the node n choosing a random
number between 0 and 1. If the number is less than a thresh-
old T n, the node becomes a cluster-head for the current
round. The threshold is set as:
T n =
P
P rmod
P
if n G
otherwise
where P = the desired percentage of cluster heads (e.g.,
P = : ), r = the current round, and G is the set of nodes
i
t
e
a
n
d
r
o
o
c
−
Y
50
45
40
35
30
25
20
15
10
5
0
−25
−20
−15
−10
−5
0
5
10
15
20
25
X−coordinate
Figure 12. Sensors that remain alive (circles)
and those that are dead (dots) after 1200
rounds with 0.5 J/node for LEACH. Note that
this shows the network 1020 rounds further
along than Figure 6.
that have not been cluster-heads in the last
P rounds. Us-
ing this threshold, each node will be a cluster-head at some
point within
P rounds. During round 0 (r = ), each node
has a probability P of becoming a cluster-head. The nodes
that are cluster-heads in round 0 cannot be cluster-heads for
the next
P rounds. Thus the probability that the remaining
nodes are cluster-heads must be increased, since there are
fewer nodes that are eligible to become cluster-heads. Af-
ter
rounds, T = for any nodes that have not yet
P
been cluster-heads, and after
P rounds, all nodes are once
again eligible to become cluster-heads. Future versions of
this work will include an energy-based threshold to account
for non-uniform energy nodes. In this case, we are assum-
ing that all nodes begin with the same amount of energy
and being a cluster-head removes approximately the same
amount of energy for each node.
Each node that has elected itself a cluster-head for the
current round broadcasts an advertisement message to the
rest of the nodes. For this “cluster-head-advertisement”
phase, the cluster-heads use a CSMA MAC protocol, and all
cluster-heads transmit their advertisement using the same
transmit energy. The non-cluster-head nodes must keep
their receivers on during this phase of set-up to hear the ad-
vertisements of all the cluster-head nodes. After this phase
is complete, each non-cluster-head node decides the cluster
to which it will belong for this round. This decision is based
on the received signal strength of the advertisement. As-
suming symmetric propagation channels, the cluster-head
advertisement heard with the largest signal strength is the
cluster-head to whom the minimum amount of transmitted