Department Development Perspective
Optimal Position Of Base Station In Wireless Sensor
NetworkGuided byMs Nandini Maninarayana
Ashlin Janifer LoboUSN:4S014LDS0112/13/2014Department of ECE,
SJEC, Vamanjoor1St Joseph Engineering CollegeVamanjoor,
MangaloreDepartment of Electronics and Communication EngineeringUG
Program Accredited By National Accreditation Board New Delhi Energy
in WSN12/13/2014Department of ECE, SJEC, Vamanjoor8
Fig.1 An energy model [4]Dept Of ECE, SJEC,
Vamanjoor8AbstractLifetime maximization and overall energy
consumption minimization are two different problems in a WSN.Sensor
nodes dissipates energy during sensing and transmission ,but
transmission energy dominatesTherefore the optimal location of the
base station is required.12/13/2014Department of ECE, SJEC,
Vamanjoor3Introduction12/13/2014Department of ECE, SJEC,
Vamanjoor4
Wireless sensor networks consists of a. Sensor node b. Base
station Sensor a. consumes energy for event sensing, coding,
modulation, transmission, reception and aggregation of
data.12/13/2014Department of ECE, SJEC, Vamanjoor5Introduction
(contd) b. limited Energy, Computation, Storage ,Transmission
range, Bandwidth.
Base station a. data gathering, processing entity and
communication link to larger network.12/13/2014Department of ECE,
SJEC, Vamanjoor6Introduction (contd)
Introduction (contd)
Minimizing average energy consumption
Minimizing maximum energy consumption
Minimizing relative energy consumption12/13/2014Department of
ECE, SJEC, Vamanjoor7
Energy in WSN (contd)In the transmission amplifier a. n = 2 free
space los b. n = 4 multi-path loss Consumed amplifier energy
(1)
12/13/2014Department of ECE, SJEC, Vamanjoor9
Energy in WSN (contd)Threshold distance is calculated
(2) = free space loss constant J/bit/m^2 = multi-path loss
constant J/bit/m^4
12/13/2014Department of ECE, SJEC, Vamanjoor10
Energy in WSN (contd)L=number of bits, the energy used in
transmission will be
(3)
To receive L message bits, the radio spends (4)
= the energy in J/bit 12/13/2014Department of ECE, SJEC,
Vamanjoor11
WSN topology12/13/2014Department of ECE, SJEC, Vamanjoor12
Energy in WSN (contd) n nodes uniformly distributed in an M M
area k number of clusters in the topology. An average of (n/k)
nodes per cluster. a. one cluster head node b.( ) non-cluster head
nodes. 12/13/2014Department of ECE, SJEC, Vamanjoor13
Energy in WSN (contd) = sum of the energy consumed in a.
reception of data b. data aggregation c. transmission of the
aggregated data (7)
EDA = energy for data aggregation
12/13/2014Department of ECE, SJEC, Vamanjoor15
Energy in WSN (contd)The energy consumption in a cluster for one
round of transmission (8)
The energy consumption in the network for one round
(9)12/13/2014Department of ECE, SJEC, Vamanjoor16
Energy in WSN (contd)Case 1: When all the nodes in a sensor
network are near the base station, (10)
dj = distance between the cluster head and the base
station.12/13/2014Department of ECE, SJEC, Vamanjoor17
Energy in WSN (contd)After (n/k) rounds, when every node has
become a cluster head once, the total energy spent is
(11) .
12/13/2014Department of ECE, SJEC, Vamanjoor18
.
Energy in WSN (contd)Case 2: When the base station is far away
from all the nodes, (12)
12/13/2014Department of ECE, SJEC, Vamanjoor19
Energy in WSN (contd) Case 3: When some nodes are near and some
nodes are far away from the base station then (14)
node i and node j are from different setsP = nearer nodes and
q=farther nodes
12/13/2014Department of ECE, SJEC, Vamanjoor20
Energy in WSN (contd) case 1 (15) case 2 (16) case 3
(17)12/13/2014Department of ECE, SJEC, Vamanjoor21
Base station location
Let n sensor nodes be uniformly distributed in a rectangular
field
12/13/2014Department of ECE, SJEC, Vamanjoor22
Fig 2. Rectangular field [1]Base station location (contd..)The
Euclidean distances between the base station and the nodes are d1,
d2, d3, . . . , and dn (18)
Case 1( ; i): (19)12/13/2014Department of ECE, SJEC,
Vamanjoor23
Base station location (contd)Case 2 ( ; i): When all the nodes
are far away from the base station (20)Case 3 (Some nodes with and
remaining nodes with ): (21)where p + q = n and p, q 1.
12/13/2014Department of ECE, SJEC, Vamanjoor24
Base station location (contd)Minimizing acoording to the
domination in the energy expenditure a, p q, then the centroid of p
nodes will be the optimal position. b. If q p, then the farther
nodes will decide the optimal location for the base
station12/13/2014Department of ECE, SJEC, Vamanjoor25
Base station location (contd..)When both types of nodes are
equally dominating12/13/2014Department of ECE, SJEC,
Vamanjoor26Step 1: Find centroid (Cx, Cy) of the nodes distributed
in the field This is the point, where is minimized (22) (23)
Step 2:Find nodes less than distance from the
centroid.12/13/2014Department of ECE, SJEC, Vamanjoor27
Algorithm for base station location
Algorithm (contd..)Step 3: Weights are calculated using centroid
for all the nodes as
(24)
= distance between the ith node and the
centroid.12/13/2014Department of ECE, SJEC, Vamanjoor28
12/13/2014Department of ECE, SJEC, Vamanjoor29
Algorithm (contd..)Fig.3 Square field [1]Algorithm (contd..)Let
us consider a square field with length of side a. Let Only free
space loss will be suffered by the transmission from all the nodes
inside the fieldtwo nodes at , are taken in the
field12/13/2014Department of ECE, SJEC, Vamanjoor30
base station location P(Px,Py) is given by (25)
(26)When Let nodes suffer free space loss and suffer multi-path
loss.If the weight to is w
12/13/2014Department of ECE, SJEC, Vamanjoor31
Algorithm (contd..)Algorithm (contd..)P(Px, Py) is given by
(27)
(28)
w = , then Px = x2 and Py = y2. w = 0, then Px = x1 and Py = y1
12/13/2014Department of ECE, SJEC, Vamanjoor32
w = (29)
weighted average of node positions to the optimal position (xp,
yp) for the base station
(30)
12/13/2014Department of ECE, SJEC, Vamanjoor33
Algorithm (contd..) (31) 12/13/2014Department of ECE, SJEC,
Vamanjoor34
Algorithm (contd..) The optimal location of the base station can
be obtained by using the algorithm and energy consumption of the
nodes can be minimized 12/13/201435Department of ECE, SJEC,
VamanjoorConclusionReferences[1]Two-tiered wireless sensor networks
base station optimal positioning case study,R.K. Tripathi Y.N.
Singh N.K. Verma, Department of Electrical Engineering, Indian
Institute of Technology, Kanpur, Kanpur 208 016, India [2]
Positioning of base stations in wireless sensor networks, Akkaya,
K., Younis, M., Youssef, W, IEEE Commun. Mag., 2007, 45, (4), pp.
96102.[3] Optimal base-station locations in two-tiered wireless
sensor networks, Pan, J., Cai, L., Hou, T., Shi, Y., Shen, S.X,
IEEE Trans. Mob. Comput., 2005, 4, (5), pp.
458473..12/13/2014Department of ECE, SJEC, Vamanjoor36[4] An
application specific protocol architecture for wireless microsensor
networks, Heinzelman,W.R., Chandrakasan, A., Balakrishnan, H, IEEE
Trans. Wirel. Commun., 2002, 1, (4), pp. 660670.[5] Energy
efficient communication protocol for wireless microsensor networks,
Heinzelman, W.R., Chandrakasan, A., Balakrishnan, H, Proc. Int.
Conf. on System Sciences, , pp. 30053014.[6] Wireless
communications: principles practice ,Rappaport, T, Prentice- Hall,
Englewood Cliffs, NJ, 1996.
12/13/2014Department of ECE, SJEC, Vamanjoor37Wireless sensor
networks are enabled by three trends Cheaper computation (Moores
Law)Compact sensing (MEMS sensors)Wireless networking (low-power
radios)
ApplicationsEnvironmental sensingHabitat monitoringPrecision
agricultureMilitary operationsCondition-based maintenanceHealth
care12/13/2014Department of ECE, SJEC, Vamanjoor38Range of Sensor
Nodes Large Medium Small TinyComputation/memory Microprocessor8-bit
microcontrollers Xscale processors Digital signal processors Memory
Flash for non-volatile logging of sensor data Store and forward
data from other nodes12/13/2014Department of ECE, SJEC,
Vamanjoor39CommunicationRadio communication (some infrared) Power
tradeoff with bandwidth More power, more range, more interference
Less power, less range, may disconnect Protocol stack Reliability
Routing Naming Broadcast, multicast, unicast12/13/2014Department of
ECE, SJEC, Vamanjoor40BatteryRechargeable Li-ion, fuel cell, etc.
Harvest from environment Solar, piezo (vibration), RF energy,
etc.
.12/13/2014Department of ECE, SJEC,
Vamanjoor41Leach12/13/2014Department of ECE, SJEC, Vamanjoor42
p = desired percentage of cluster heads, r = current round and G
=number, which decides eligibility to become cluster head and form
a set of nodes that have not been cluster heads. A node becomes a
cluster head for the current round if the chosen random number is
less than the following threshold.12/13/2014Department of ECE,
SJEC, Vamanjoor43
SensorsEnabled by recentadvances in MEMSTechnologyIntegrated
WirelessTransceiverLimited inEnergyComputationStorageTransmission
rangeBandwidthWireless sensor networks may be considered a subset
of Mobile Ad-hoc NETworks (MANET). Sensor networks are mainly used
to collect information while MANETS are designed for distributed
computing rather than information gathering. Sensor nodes mainly
use broadcast communication paradigm whereas most MANETS are based
on point-to-point communications. The number of nodes in sensor
networks can be several orders of magnitude higher than that in
MANETS . Sensor nodes may not have global identification (ID)
because of the large amount of overhead and large number of
sensors. 12/13/2014Department of ECE, SJEC, Vamanjoor44 Sensor
nodes are much cheaper than nodes in a MANET and are usually
deployed in thousands. Sensor nodes are limited in power,
computational capacities, and memory where as nodes in a MANET can
be recharged somehow. Usually, sensors are deployed once in their
lifetime, while nodes in MANET move really in an Ad-hoc manner.
Sensor nodes are much more limited in their computation and
communication capabilities than their MANET counterparts due to
their low cost.12/13/2014Department of ECE, SJEC, Vamanjoor45
Heuristic SearchAheuristicis a method that might not always find
the best solutionbutis guaranteed to find a good solution in
reasonable time. By sacrificing completeness it increases
efficiency.Useful in solving tough problems whichcould not be
solved any other way.solutions take an infinite time or very long
time to compute.
12/13/2014Department of ECE, SJEC, Vamanjoor46Layered
structure12/13/2014Department of ECE, SJEC, Vamanjoor47
Pegasis Greedy Chain Algorithm Start with node furthest away
from BS Add to chain closest neighbor to this node that has not
been visited Repeat until all nodes have been added to chain
Constructed before 1st round of communication and then
reconstructed when nodes di Data fusion at each node (except end
nodes) Only one message is passed at every node Delay calculation:
N units for an N-node network Sequential transmission is
assumed12/13/2014Department of ECE, SJEC,
Vamanjoor4812/13/2014Department of ECE, SJEC, Vamanjoor49
reflection, diffraction, and scattering.Due to multiple
reflections from various objects, the electromagnetic waves travel
along different paths of varying lengths. The interaction between
these waves causes multipath fading at a specific location, and the
strengths of the waves decrease as the distance between the
transmitter and receiver increases.Propagation models have
traditionally focused on predicting the average received signal
strength at a given distance from the transmitter, as well as the
variability of the signal strength in close spatial proximity to a
particular loca12/13/2014Department of ECE, SJEC, Vamanjoor50phases
are random, the sum of the contributions varies widely; for
example, obeys a Rayleigh fading distribution.The free space
propagation model is used to predict received signal strength when
the transmitter and receiver have a clear, unobstructed
line-of-sight path between themthe free space model predicts that
received power decays as a function of the T-R separation distance
raised to some power (i.e. a power law function). The free space
power received by a receiver antenna which is separated from a
radiating transmitter antenna by a distance d, is given by the
Friis free space equation.12/13/2014Department of ECE, SJEC,
Vamanjoor5112/13/2014Department of ECE, SJEC, Vamanjoor52
The Friis free space equation of shows that the received power
falls offas the square of the T-R separation distance. This implies
that the receivedpower decays with distance at a rate of 20
dB/decade.An isotropic radiator is an ideal antenna which radiates
power with unitgain uniformly in all directions, and is often used
to reference antenna gains inwireless systems.
SPIN : Sensor Protocols for Information via Negotiation. DD:
Directed Diffusion RR.: Rumor Routing GBR : Gradient Based Routing.
CADR : Constrained Anisotropic Diffusion
Routing12/13/2014Department of ECE, SJEC, Vamanjoor53