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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Research on the Energy Characteristics of Routing in Wireless Sensor Networks</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Nizhny Novgorod State University of Engineering</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Economics</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oktyabrskaya Str.</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Knyaginino</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Russia ctn af@mail.ru</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>dasha.kirilova.</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>@bk.ru</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>ngiei-spo@mail.ru</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>St. Petersburg State Electrotechnical University</institution>
          ,
          <addr-line>Professor Popov Str. 5, 197376 St. Petersburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Sensory devices in agriculture are essential for building a smart farm. With the help of them, continuous monitoring of the entire production is carried out, indicators of temperature, humidity, etc. are monitored.Sensor devices in the aggregate are a sensor network. The most common cause of failure of the touch device is the depletion of battery power. Power consumption is a random variable that is in uenced by many factors such as: the distance between the touch device and the base station, the number of repeaters, routing protocol, etc. In this regard, it becomes urgent to study the physical characteristics of sensor devices in order to reduce energy consumption, thereby increasing the period of operation. The paper considers the physical characteristics of sensor devices on the sensor eld. The aim of the work is to study the physical characteristics of sensor devices in agricultural applications based on wireless communication technology, depending on network parameters and technical characteristics of sensor devices. The classi cation of protocols and routing algorithms are analyzed in the paper. An experimental study are conducted. In the course of the study, a theorem is obtained and proved, which allows one to determine the route of message transmission from the source node to the base station at which the minimum power is expended, and a numerical calculation is carried out con rming the provisions of the theorem.</p>
      </abstract>
      <kwd-group>
        <kwd>wireless sensor network digital agriculture energy consumption Internet of things smart things radio signal strength routing protocol</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        The digital transformation of many areas of human activity cannot ignore
agriculture. Along with the digitalization of nancial [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], educational [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and other
activities, production activity is also being digitized. As the data [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] show, this
brings a signi cant e ect in both agriculture and animal husbandry. The
introduction of IoT has reduced water costs by more than 20% thanks to irrigation
systems, from 5 to 15%, the cost of seeds was reduced due to precision farming,
as a result, productivity increased by more than 10%.
      </p>
      <p>Implementation of Digital Farm technologies allows reducing enterprise costs
by about 15% due to e cient feed use and reducing the production cycle, labor
costs are reduced due to reduced sta , in addition, the cost of veterinary services
is reduced due to the timely detection of diseases, in general, the average cost
savings in livestock production is 15-20%.</p>
      <p>Among the information systems that allow to achieve such results, belongs
to the Internet of things, combining technology for identifying objects, wireless
communication networks, autonomous power supply, sensors, etc.</p>
      <p>
        The properties of the Internet of things are largely determined by the
properties of wireless networks using end-to-end wireless access technologies [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] for the
organization of information interaction of sensor devices distributed in the space
of agricultural land. Sensor devices are used, for example, to control the level
of moisture and mineralization of the soil, light level and wind strength,
temperature monitoring, monitoring animal movement, monitoring animal health,
etc.
      </p>
      <p>
        Work on the creation of such devices is carried out at Knyagininsky University
[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. An example is an unmanned aerial vehicle and a system for monitoring the
technological process of cultivating crops in the territory of the Nizhny Novgorod
region (see Fig. 1). Scheduled aerial photography is carried out using a drone with
a camera, which records in the visible and thermal ranges and allows reliable
and timely monitoring of cultivated land and pastures. UAVs are capable of
collecting landing information su cient for accurate application of pesticides in
speci c locations and herbicides where chemicals are needed. This allows you to
save on the use of chemistry, as well as save the environment. At the moment,
seven ultralight aircraft with a payload capacity of up to 800 grams of payload
have been manufactured, more than 320 hours of ight on a ight simulator and
570 hours of ight on real UAVs, built three-dimensional models of geo-surfaces
with the determination of elevations and rendering of the relief.
      </p>
      <p>Another example is the cattle monitoring device, which is being developed at
Knyagininsky University. The device will consist of a collar on which there will be
several sensors that monitor the condition of the animal, determining the amount
of food consumed, the degree of mobility, and this will also allow you to nd out
the amount of milk yield from cattle. This device is designed to determine the
activity of cattle, this allows you to timely prevent the development of diseases,
and also identify livestock in a state of hunting, for more productive farming,
and reducing costs and resources for continuous spot monitoring of livestock.</p>
      <p>In addition, a data visualization system has been developed using augmented
reality for devices of the Internet of things in digital agriculture. A smart
collection point is a collection of devices, sensors, sensor actuators for collecting and
transmitting data. The server, in this case, is a service providing a platform for
processing streaming data coming from a smart collection point and proxying
system client requests for some permanent network address. The client for
displaying information is any device running Android OS version 4.4 or higher. An
application based on Unity and the Vuforia framework is used to interact with
the server. The application requests streaming data from the server, and also
interacts with a physical label using augmented reality technologies, projects data
from sensors. Application testing was carried out on augmented reality glasses
EPSON MoveRio BT-300.</p>
      <p>
        The e ect of using sensor devices to monitor the state of agricultural land
arises when they are massively introduced and used to collect the data they
generate using wireless sensor networks [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. At the same time, there are problems
with the power supply of devices that in the vast majority of applications cannot
be provided with centralized power and receive energy for the implementation of
their functions from an autonomous battery. The lifespan of a device is mainly
determined by the capacity of the battery and its energy consumption [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
      <p>
        As studies [
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ] show, the main consumer of battery energy is a radio
transmitter, which consumes a million times more energy to process one bit than
sensors or microcontrollers of a sensor device. In [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], it was shown that the
main parameter by which it is possible to control the energy consumption of
the radio transmitter is the distance between the antennas of the interacting
sensor devices. The required signal power at the transmitting antenna is directly
proportional to the square of this distance, therefore, in a number of cases, the
use of sensor devices that are located \on the path" of signal transmission as
repeaters reduces the overall power consumption of the \source- repeater" pair.
      </p>
      <p>
        The distance which in the process of functioning of wireless touch devices
will have to overcome the signal emitted by the transmitting antenna, depends
on the routing protocols. In this case, routing is understood as the process of
determining the transmission path of a data packet from one node to another
in communication networks. To nd the best way to transmit a data packet, a
data routing algorithm is used, which in the general case consists of 3 stages:
1. the allocation of the headers of the packet destination addresses; 2. search in
the routing table of the line corresponding to this address; 3. update the packet
header, and transfer it to the switching unit [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref12 ref13">12, 13</xref>
        ], a classi cation of routing algorithms is given, for clarity, this
classi cation must be constructed as follows (see Fig. 2). Using routing algorithms,
routing protocols are implemented. The classi cation of routing protocols is given
in [
        <xref ref-type="bibr" rid="ref14 ref15">14, 15</xref>
        ] based on the research data, the following classi cation is given (Fig.
3). Topological protocols have information about all routes, and use data on
existing connections between nodes, while geographic ones use satellite data on
the geographical location of nodes, using this data, connectivity between nodes
is predicted.
      </p>
      <p>Proactive, also called table protocols, send messages about changing the
network topology, based on this information, the node builds a route to other
network nodes and stores it in the routing table, these protocols guarantee a
minimum packet delay time, but network overload often occurs due to sending
messages. Reactive protocols work at the request of the network, the node that
is about to start transmitting the packet sends information about the start of
transmission throughout the network, the node that receives the packet sends
con rmation to the sender, along the established route, which is saved in the
routing table, in case of repeated transmission , if gaps appear on the line, the
process of searching for a new route starts. Hybrid ones are a mixture of
proactive and reactive protocols, the network is divided into several subnets with
proactive protocols, and the interaction between subnets is implemented using
reactive protocols, this reduces the network load and the size of routing tables.</p>
      <p>Distance vector protocols always choose the route with the smallest number
of repeaters, unlike channel state protocols, which, in addition to repeaters, take
into account other criteria, such as delayed packet delivery, bandwidth, etc.</p>
      <p>Single-level routing protocols work only at one network level of the, and
multi-level interact with several levels, while receiving additional information
about the routes.</p>
      <p>One-way protocols choose among all routes one that is most optimal for
packet transmission and save it to the routing table, multi-way protocols enter
several optimal routes into the table, and if a gap appears, an additional route
is read instead.</p>
      <p>
        There are several criteria for choosing the optimal route, for example, the
minimum number of repeaters. The relief method allows you to nd the shortest
path by the criterion of minimizing repeaters [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. The idea of reducing the
number of repeaters is associated with the desire to reduce the time of message
delivery, but in many agricultural applications this is not the main characteristic
of the network functioning process. Delay can be measured in minutes and hours,
and not fractions of a second as in other subject areas.
      </p>
      <p>
        In agriculture, one of the main criteria for the functioning of a wireless sensor
network is energy consumption [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. When transmitting a message, the sensor
device consumes a certain amount of energy, in order to increase the life cycle of
the network, it is necessary to minimize the energy consumption of the sensor
devices, this can be done by choosing the right routing algorithm.
      </p>
    </sec>
    <sec id="sec-2">
      <title>Materials and methods</title>
      <p>All studied protocols have a common idea - the choice of the most optimal route
inside the wireless sensor network, to increase the reliability and performance of
the network. We propose the development of this general idea.</p>
      <p>The source sensor device according to a given routing algorithm solves the
problem of selecting the route for transmitting a message to the base station.
Inside this sensor device is a program that receives data from a satellite and,
based on these data, determines the coordinates of other points and accordingly
decides how best to transmit the message.
Theorem 1. The transmit power through the relay k 4). is less than the
expended transmit power of the message directly from the source-node to the base
station, provided that the angle 2 ( =2; ];the transmit power through the
repeater is equal to the transmit power of the message directly from the source-node
to the base station, provided that the angle = =2,otherwise, the least power
will be consumed when transmitting directly from the source-node to the base
station.</p>
      <p>Proof. We prove the rst case from the contrary. Suppose the following inequality
holds:</p>
      <p>Pper(r1) &lt; Pper(r2) + Pper(r3)
(1)
16Ppr 2r2f 2</p>
      <p>1
CperCprv2
16Ppr 2r2f 2</p>
      <p>2
CperCprv2
+
16Ppr 2r2f 2</p>
      <p>3
CperCprv2</p>
      <p>=
16Ppr 2f 2
= CperCprv2 (r22 + r32)
Multiply both sides of the inequality by a coe cient C16pPerpCrp2rfv22 , by condition, this
coe cient is always positive, therefore, it will not a ect the change in inequality.
r12
The resulting inequality contradicts the corollary of the cosine theorem, which
means the assumption is not true, which proves this theorem. For the second
and third cases, the proof is similar.
To calculate the power consumed, we substitute the distance in the Friis formula:
(2)
(3)
(4)
(5)
(6)
3</p>
    </sec>
    <sec id="sec-3">
      <title>Numerical calculations</title>
      <p>For cases when 2 ( =2; ] let the distances have the following meanings: r1 =
9; r2 = 6; r3 = 5. We will perform the calculations with the following indicators:
the power of the radio signal at the received antenna Ppr = 0:1 10 3, coe cient
transmit antenna gain Cper = 1,coe cient receive antenna gain Cpr = 1,speed
of light v = 3 108, signal frequency f = 13:56 106.</p>
      <p>We calculate the power spent transmitting a message directly from the
sourcenode to the base station using the Friis formula:</p>
      <p>Pper(r1) =
16Ppr 2r2f 2</p>
      <sec id="sec-3-1">
        <title>CperCprv2</title>
        <p>= 0:00261
The next step is to calculate the power spent transmitting the message through
the repeater Pper(r2) = 0:00116, Pper(r3) = 0:00080. The total power consumed
during transmission through the repeater is 0.00196.</p>
        <p>Thus we obtain that:</p>
      </sec>
      <sec id="sec-3-2">
        <title>Pper(r1)&gt;Pper(r2) + Pper(r3)</title>
        <p>For cases when = =2 let the distances have the following values: r1 =
5; r2 = 4; r3 = 3. We perform calculations similar to the previous ones, we
obtain Pper(r1) = 0:000806, Pper(r2) = 0:000516, Pper(r3) = 0:000290. Then
the total energy expended during transmission through the repeater is 0.000290.
Thus we obtain that:</p>
        <p>Pper(r1) = Pper(r2) + Pper(r3)</p>
        <p>Therefore, when the angle = =2,the same power is expended both when
transmitting a message directly and when transmitting through a repeater.</p>
        <p>For the third case, when 2 (0; =2) let the distances have the following
values: r1 = 9, r2 = 6, r3 = 7.</p>
        <p>We perform calculations similar to the previous ones, we obtain Pper(r1) =
0:00261, Pper(r2) = 0:00116, Pper(r3) = 0:00158. Then the total energy expended
during transmission through the repeater is 0.00274. Thus we obtain that:</p>
      </sec>
      <sec id="sec-3-3">
        <title>Pper(r1)&lt;Pper(r2) + Pper(r3)</title>
        <p>(7)</p>
        <p>Therefore, when transmitting a message through a repeater, the power spent
on transmitting a message is greater than when transmitting directly from a
source-node to a base station.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>In the course of this study, classi cations of protocols and routing algorithms
were analyzed, it was revealed that the wireless sensor network operates under
the control of the routing protocol. To reduce power consumption in the network,
you must select the most optimal routing algorithm.</p>
      <p>A theorem is obtained and proved that allows one to determine the route for
transmitting a message from the source-node to the base station at which the
minimum power is expended. It was revealed that if the angle formed between
the distances of transmission of the message through the relay is greater than
90 , then it is more advantageous to transmit using the relay, and not directly
from the source node to the base station.</p>
      <p>An experimental study was carried out, during which numerical calculations
were carried out, allowing to con rm the provisions of the theorem.</p>
    </sec>
  </body>
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