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Relay Technologies for WiMax and LTE-Advanced Mobile Systems
                                         Devdatta Ambre



Abstract-- IEEE 802.16j and 3GPP LTE-              rate wireless access to far-reached place of
Advanced standards are the next                    the coverage area.
generation    wireless    communications
                                                           To enable rapid and cost effective
system that provides considerable
                                                   deployment of the network infrastructure the
increase in data throughput than the
                                                   IEEE has made amendments in 802.16j
previous 3G communication system. To
                                                   framework, which focuses [3] on
achieve these throughput requirements
                                                   enhancements to OFDMA physical layer
and provide better quality of service,
                                                   and MAC layer to enable operation of a
these standards have opted for relay
                                                   Mobile multi-hop relay system (MMR)
technology for signal transmission over
                                                   using relay stations. MMR would allow base
the conventional direct transmission. This
                                                   stations without an E-1 or T-1 backhaul
paper presents an overview of the relay
                                                   connections (i.e. RS) to communicate with
technologies used in the two standards.
                                                   base stations that have link connections with
By Matlab simulation, the reduction in
                                                   some portion of the air link bandwidth. The
transmission power level using Simple
                                                   relay stations (RS) would help to forward
Relay is shown, comparing to the
                                                   user information from neighboring mobile
conventional Direct transmission method.
                                                   station (MS) to a local e-node-B (eNB- base
I.   Introduction                                  stations with integrated Radio network
                                                   controllers)/ base stations (BS). The MMR
The IEEE 802.16j (WiMax), IEEE 802.16m             can effectively extend the signal and service
and 3GPP LTE advanced are the next                 coverage of a BS and enhance the overall
generation (4G) mobile communication               throughput performance of a wireless
systems that meet the requirements of              communication system.
International Telecommunication Union
(ITU), for the 4G systems. According [1] to               1. Relay Types and benefits
the ITU’s requirements, the 4G systems
should support peak data rates of 100 Mbps         The Relay technologies have been used in
and 1 Gbps, respectively, in high speed            earlier wireless carrier systems e.g.
mobility environments (up to 350 kmph) and         repeaters. Relay technique was used to
stationary or pedestrian environments (up to       increase the coverage to a potential coverage
10 kmph). In order to meet the requirements        hole due to urban clutter. Relays were used
on higher wireless access data rate and            to better coverage inside a building by
better quality of service (QOS), the LTE and       providing In-build solutions with installing
WiMax operators would need to increase the         low capacity BS for the building connected
density of Base Stations to provide high data      to Master BS. But in WiMax and 3GPP
                                                   standards, to meet the data rate requirements
the relay technique is even used inside the      the RS is used to relay the traffic signal
BS coverage area. This method helps in           between BS and MS. Such a mode helps in
increasing the throughput along with             improving the throughput within the
reducing the required transmission power         coverage cell, compared to the case without
level for the signal to reach from BS to MS,     RS [1].
which we have shown in Matlab simulation.
Along the lines, that relays are deployed to     For the different 802.16j and 3GPP
provide coverage inside the BS coverage          standards the types are given different
area and to extend the BS coverage beyond        notations of Transparent/non-transparent
its coverage borders, relays are distinguished   and I & II, respectively
in two types 1) Type-I (or non-transparency             2. Transmission Schemes
, NT-RS) RS and Type-II (or transparency,
T-RS) RS which are shown in figure below.        The two standards, have mainly proposed
                                                 three transmission schemes [1] for the
                                                 processing of the signals at the RS, while
                                                 also trying to avoid the processing delay.

                                                 Amplify and Forward (AF) – This scheme
                                                 is known as simple relay and is mostly used
                                                 to increase the coverage area. In AF scheme,
                                                 the RS amplifies the received signal from
                                                 BS and forwards it to MS. It has a very short
                                                 processing delay.
[1] Network scenario for Type-I and Type-II
                                                 Selective Decode and Forward (DCF) – In
                Fig: I                           this scheme, [1] the RS decodes (channel
                                                 decoding) the received signal from the BS.
        Type-I RS (or NT-RS for 802.16j
                                                 The RS checks, whether the decoded data is
standard) provide coverage to MS i.e.
                                                 correct using cyclic redundancy check, and
beyond or at the edge of BS coverage area.
                                                 if correct performs channel coding and
It contributes to the overall system capacity
                                                 forwards the new signal to MS. DCF
and enables communication ser-vices and
                                                 effectively avoids error propagation, but has
better data throughput to a MS at the edge of
                                                 a long processing delay.
a cell. The BS and MS in Type-I relay have
no direct connection and the transfer of         Demodulation and Forward (DF): The RS
preamble and other control information are       demodulates the receiving signal from the
sent through RS along with traffic signals.      BS and modulates and forwards the signal to
                                                 MS. It has simple operation and low
In Type-II (or T-RS), the RS is placed
                                                 processing delay, but is unable to avoid error
within the particular BS cell coverage area.
                                                 propagation.
In this relay mode [3] the base stations
control information can reach the MS but
The DCF scheme [1] is identified to achieve      from all RS’s and MS’s units within the cell.
a better throughput improvement, compared        The channel and location information is
to AF and DF.                                    periodically updated and reported to the BS.
                                                 Using the information, the BS generates a
       3. Cooperative Relaying                   matrix C with i and j rows corresponding to
Diversity [4] techniques are used to achieve     MS ID’s and RS ID’s. The matrix elements
signal improvement by using multiple paths       represents the achievable data rate when the
between transmitter and receiver. IEEE           ith MS is served/paired with jth RS. If the
802.16j [2] has introduced an optional           MS is not served by the RS the corresp-
feature of cooperative diversity, to use the     onding row and column are set to zero,
multiple RS antennas and BS available            otherwise, Ci,j is calculated between the
within the cell coverage area. The 802.16        instantaneous channel conditions. The
standard provides three mechanisms for           Centralized pairing scheme is developed for
cooperative diversity. a) Cooperative            multiple RS and single MS scenario and
Source Diversity using antennas distributed      vice-versa. In this scenario, once an RS
among RS and BS to transmit identical            selects an MS unit, it cannot serve any other
signal simultaneously in time and frequency.     MS. The BS sets all corresponding rows to
b) Cooperative transmit diversity using          zero. This avoids the MS to attempt to
pre-defined space time codes distributed         connect an already serving RS. The values
among RS’s and BS and c) Cooperative             of matrix C are constantly updated to check
hybrid diversity, which is a combination of      for non-serving RS. The overall throughput
the above two mechanisms.                        for the served MS units is calculated by
                                                 adding together all serving elements in
   4. Relay Path Selection                       matrix C. The Centralized pairing scheme is
                                                 mainly used for two hop relays and in type-
In a network of multiple RS and multiple
                                                 II relay mode, due to its periodic
MS units in each cell, the important aspect is
                                                 information exchange.
to select appropriate RS to transmit signals
in able to achieve better throughput along              4.2 Distributed Pairing Scheme
with low processing delay. The pairing
scheme also serves the purpose of the RS         In a Distributed pairing, the RS selects its
routing selection method in more than two        own MS units and it’s serving RS in more
hop routing. Hence, the two standards have       than two hop relay system. It gathers local
provided two types of pairing schemes for        channel information from neighboring MS’s
Relay selection. The selection is done by        & RS and from serving BS. Each RS’s of a
using channel and location information.          particular serving BS uses a common
                                                 communication channel.
       4.1 Centralized Pairing Scheme

In a Centralized pairing scheme [1], the BS
serves as a central node to collect the
required channel and location information
since smaller hops are favorable as it
                                                  increases delay.

                                                  Path cost = (Link Throughput/Hop count)
                                                  [5]

                                                  The best path is selected i.e. the path
                                                  maximum value among the calculated costs,
                                                  since it provides the higher link throughput.

                                                  Both Centralized pairing scheme and
                                                  distributed pairing schemes are able to
                                                  increase the probability of network
[5] Relay network entry scenario                  connection, hence increases the traffic and
                                                  are also able to provide maximum
Fig: II                                           throughput.
As distributed pairing schemes are used in        II. Simulation Results
more than two hop relay connections, it also
serves the purpose of path selection. The                 A Matlab simulation was performed
channel information is sent through UCD           to demonstrate the reduction in transmission
messages. The UCD [6] message is an               power level in simple two-hop relay
uplink channel descriptor which is                compared to conventional line of sight
broadcasted by the BS at a periodic interval      transmission. The Matlab codes for two
in order to provide burst profiles (physical      cases are provided in Appendix A.
parameter sets) that can be used by uplink
                                                  Case 1: Calculation of transmission power
physical channels. For RS routing selection
                                                  level over a fixed distance between BS and
purpose, the UCD messages contain link
                                                  MS, while RS is placed at variable distance.
available bandwidth, SNR and Hop count.
The latency or delay in routing depends on
these parameters. Each RS sets its own path
metric table using the parameters in UCD
message.

Figure II demonstrates how the relay station
selects its routing path in distributed pairing
scheme. The RS sets the metric path table
using the information of neighboring RS
sent by the serving BS of the respective
neighboring RS. Using the path metric table,
the RS calculates the cost of each route
dividing the link throughput by hop count,
                                                                        Fig: III
The calculations were performed for           The result in fig IV shows that there is
receiving power level of -30 dBm with         considerable reduction in total transmitted
pathloss exponent 4. The values were taken    power level, when simple relay is used,
over a distance of 0 to 2000 meters.          when the mobile is in motion moving away
                                              from BS.
The result in figure III shows that using a
simple Relay reduces the transmission         III. Conclusion and Summary
power level between BS and MS. The
minimum power level in this ideal case is     The Relay Technology to be used in the
obtained, when the RS is placed at the        WiMax and LTE networks provides better
halfway distance between BS and MS.           performance compared to conventional
                                              transmission methods, in terms of increase
                                              in coverage capacity, achievable peak data
                                              rate and reduction in power level. Thus, the
Case 2: Based on the study in [6], to         cost effective Relay technique is a better
demonstrate the reduction in transmission     alternative for signal transmission to meet
power level by using the simple relay         the requirements of high data rate and QOS
compared to direct line of sight              in advanced mobile systems.
transmission, when the MS is in motion
away from BS.                                 For future we would like to demonstrate the
                                              power consumption level in DCF and to
                                              simulate effects of noise in our current
                                              simulation results. The current results are
                                              based on ideal noise free environments.




                     Fig: IV

The calculations with the same parameters
as case 1 to receive power level of -30 dBm
at MS. The RS was placed at 400 meters
from BS. The location of MS is changed
further away from BS, for each calculation.
References                                 [5] Sojeong Ann, “A Path selection method
                                           in IEEE 802.16j Mobile Multi-hop relay
[1] Yang Yang, “Relay Technologies for     Networks”, Computer Society, IEEE, 2008
WiMax and LTE-Advanced Mobile
Systems”, Communications Magazine,         [6] Jee Young Song, “Power Consumption
IEEE, October 2009                         Reduction by Multi-hop Transmission in
                                           Cellular Networks”, IEEE, 2004
[2] Steven W. Peters, “The future of
WiMax: Multihop Relaying in IEEE
802.16j” Communications Magazine, IEEE,
January 2009

[3] Mustafa Ergen, “Mobile Broadband:
Including WiMax and LTE”, Springer
publications

[4] Vijay Garg, “Wireless Communications
and Networking”, Morgan Kaufmann
Publishers
Appendix A: MATLAB Code

Simulation 1: To demonstrate the effects of using relay transmission method over direct line of
sight method on the transmission power required to provide a receiving power level of -30 dBm
at the mobile station.

function power

close all;

% Part 1: No-Relay Transmitted power
Pr = 10^-3;                % Rx. power requirement of the M.S
dt = 2000;                 % Fixed distance from B.S to M.S
y=4;                       % Pathloss exponent in urban areas
Ptbm = Pr*(dt^y);          % Calculate power transmitted in No relay system
PtbmdB = pow2dB(Ptbm)      % Convert Milli Watts into dB
norelay=PtbmdB;
contnplot=0:1:2000;        % For continuous graph

% Part 2: Relay Transmitted Power (Two-hop transmission)

dr = 0:50:2000             % distance at which RS is placed between BS & MS
for count1=1:41            % To calculate multiple values of Tx. Power
    Ptb(count1)= (Pr*((dr(count1))^y));    % Calc. Tx Pwr from BS to RS
    Ptr(count1)= (Pr*((dt-dr(count1))^y)); % Calc. Tx Pwr from RS to MS
    Ptm(count1)=Ptb(count1)+ Ptr(count1); % Calc. total Tx Pwr
    PtmdB(count1)= pow2dB(Ptm(count1))     % Convert Milli Watts into dB
    Ptmin=min(PtmdB)                       % Find the minimum Tx. pwr
% find the distance at which minimum Tx. Pwr is achieved
    if PtmdB(count1)== Ptmin
        dmin = dr(count1);
    end

end

% Part 3: Plot the graph
figure,
hold on                                     % To plot the graph at the same plot
xlabel('Distance');
ylabel('Tx Power in dBm');
title('Tx. Power v/s distance')
xlim([0 2000]);
ylim([80 110]);
p1=plot(dr,PtmdB,'ro-');                    % Plot the graph for Tx. Pwr in No Relay
p2=plot(contnplot,norelay);                 % Plot the graph for Tx. Pwr in Relay Tx.
p3=plot(dmin,Ptmin,'*');                    % To plot the Min. Tx. Pwr in Relay Tx.
legend('Simple Relay', 'No Relay' ,         'Optimum Power level');
hold off;
Simulation 2: To observe the trend of transmission power level, due to change in location of
MS, between direct line of sight and Simple relay method.



function transmission

close all;

% Part 1: No-Relay Transmitted power
Pr = 10^-3;                 % Rx. power requirement in milli watts of the M.S
dt = 500:100:2000;          % Range of distance between B.S to M.S
y=4;                        % Pathloss exponent in urban areas
for count1=1:16
Ptd(count1) = Pr*(dt(count1)^y);             % Calculate power transmitted in
No relay system
PtddB(count1) = pow2dB(Ptd(count1))          % Convert Milli Watts into dBm
end
% Part 2: Two Hop transmission
dr = 400                                     % Fixed distance at which RS is
placed between BS & MS
for count1=1:16                              % To calculate multiple values of
Tx. Power
     Ptb(count1)= (Pr*((dr^y)));             % Calc. Tx Pwr from BS to RS
     Ptr(count1)= (Pr*((dt(count1)-dr)^y)); % Calc. Tx Pwr from RS to MS
     Ptm(count1)=Ptb(count1)+ Ptr(count1);   % Calc. total Tx Pwr
     PtmdB(count1)= pow2dB(Ptm(count1))      % Convert Milli Watts into dBm
end

%Part 3:Plotting the graph
figure,
hold on                                               % To plot the graph at the same
plot
xlabel('Location of Mobile station');
ylabel('Tx Power in dBm');
title('Tx. Power v/s distance')
xlim([0 2200]);
ylim([60 130]);
plot(dt,PtddB,'ro-');                                 % To plot the result of No relay
system
plot(dt,PtmdB,'ko-')                                  % To plot the result of Simple
Relay
legend('No Relay', 'Simple Relay');
hold off;

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Relay technologies for wi max and lte

  • 1. Relay Technologies for WiMax and LTE-Advanced Mobile Systems Devdatta Ambre Abstract-- IEEE 802.16j and 3GPP LTE- rate wireless access to far-reached place of Advanced standards are the next the coverage area. generation wireless communications To enable rapid and cost effective system that provides considerable deployment of the network infrastructure the increase in data throughput than the IEEE has made amendments in 802.16j previous 3G communication system. To framework, which focuses [3] on achieve these throughput requirements enhancements to OFDMA physical layer and provide better quality of service, and MAC layer to enable operation of a these standards have opted for relay Mobile multi-hop relay system (MMR) technology for signal transmission over using relay stations. MMR would allow base the conventional direct transmission. This stations without an E-1 or T-1 backhaul paper presents an overview of the relay connections (i.e. RS) to communicate with technologies used in the two standards. base stations that have link connections with By Matlab simulation, the reduction in some portion of the air link bandwidth. The transmission power level using Simple relay stations (RS) would help to forward Relay is shown, comparing to the user information from neighboring mobile conventional Direct transmission method. station (MS) to a local e-node-B (eNB- base I. Introduction stations with integrated Radio network controllers)/ base stations (BS). The MMR The IEEE 802.16j (WiMax), IEEE 802.16m can effectively extend the signal and service and 3GPP LTE advanced are the next coverage of a BS and enhance the overall generation (4G) mobile communication throughput performance of a wireless systems that meet the requirements of communication system. International Telecommunication Union (ITU), for the 4G systems. According [1] to 1. Relay Types and benefits the ITU’s requirements, the 4G systems should support peak data rates of 100 Mbps The Relay technologies have been used in and 1 Gbps, respectively, in high speed earlier wireless carrier systems e.g. mobility environments (up to 350 kmph) and repeaters. Relay technique was used to stationary or pedestrian environments (up to increase the coverage to a potential coverage 10 kmph). In order to meet the requirements hole due to urban clutter. Relays were used on higher wireless access data rate and to better coverage inside a building by better quality of service (QOS), the LTE and providing In-build solutions with installing WiMax operators would need to increase the low capacity BS for the building connected density of Base Stations to provide high data to Master BS. But in WiMax and 3GPP standards, to meet the data rate requirements
  • 2. the relay technique is even used inside the the RS is used to relay the traffic signal BS coverage area. This method helps in between BS and MS. Such a mode helps in increasing the throughput along with improving the throughput within the reducing the required transmission power coverage cell, compared to the case without level for the signal to reach from BS to MS, RS [1]. which we have shown in Matlab simulation. Along the lines, that relays are deployed to For the different 802.16j and 3GPP provide coverage inside the BS coverage standards the types are given different area and to extend the BS coverage beyond notations of Transparent/non-transparent its coverage borders, relays are distinguished and I & II, respectively in two types 1) Type-I (or non-transparency 2. Transmission Schemes , NT-RS) RS and Type-II (or transparency, T-RS) RS which are shown in figure below. The two standards, have mainly proposed three transmission schemes [1] for the processing of the signals at the RS, while also trying to avoid the processing delay. Amplify and Forward (AF) – This scheme is known as simple relay and is mostly used to increase the coverage area. In AF scheme, the RS amplifies the received signal from BS and forwards it to MS. It has a very short processing delay. [1] Network scenario for Type-I and Type-II Selective Decode and Forward (DCF) – In Fig: I this scheme, [1] the RS decodes (channel decoding) the received signal from the BS. Type-I RS (or NT-RS for 802.16j The RS checks, whether the decoded data is standard) provide coverage to MS i.e. correct using cyclic redundancy check, and beyond or at the edge of BS coverage area. if correct performs channel coding and It contributes to the overall system capacity forwards the new signal to MS. DCF and enables communication ser-vices and effectively avoids error propagation, but has better data throughput to a MS at the edge of a long processing delay. a cell. The BS and MS in Type-I relay have no direct connection and the transfer of Demodulation and Forward (DF): The RS preamble and other control information are demodulates the receiving signal from the sent through RS along with traffic signals. BS and modulates and forwards the signal to MS. It has simple operation and low In Type-II (or T-RS), the RS is placed processing delay, but is unable to avoid error within the particular BS cell coverage area. propagation. In this relay mode [3] the base stations control information can reach the MS but
  • 3. The DCF scheme [1] is identified to achieve from all RS’s and MS’s units within the cell. a better throughput improvement, compared The channel and location information is to AF and DF. periodically updated and reported to the BS. Using the information, the BS generates a 3. Cooperative Relaying matrix C with i and j rows corresponding to Diversity [4] techniques are used to achieve MS ID’s and RS ID’s. The matrix elements signal improvement by using multiple paths represents the achievable data rate when the between transmitter and receiver. IEEE ith MS is served/paired with jth RS. If the 802.16j [2] has introduced an optional MS is not served by the RS the corresp- feature of cooperative diversity, to use the onding row and column are set to zero, multiple RS antennas and BS available otherwise, Ci,j is calculated between the within the cell coverage area. The 802.16 instantaneous channel conditions. The standard provides three mechanisms for Centralized pairing scheme is developed for cooperative diversity. a) Cooperative multiple RS and single MS scenario and Source Diversity using antennas distributed vice-versa. In this scenario, once an RS among RS and BS to transmit identical selects an MS unit, it cannot serve any other signal simultaneously in time and frequency. MS. The BS sets all corresponding rows to b) Cooperative transmit diversity using zero. This avoids the MS to attempt to pre-defined space time codes distributed connect an already serving RS. The values among RS’s and BS and c) Cooperative of matrix C are constantly updated to check hybrid diversity, which is a combination of for non-serving RS. The overall throughput the above two mechanisms. for the served MS units is calculated by adding together all serving elements in 4. Relay Path Selection matrix C. The Centralized pairing scheme is mainly used for two hop relays and in type- In a network of multiple RS and multiple II relay mode, due to its periodic MS units in each cell, the important aspect is information exchange. to select appropriate RS to transmit signals in able to achieve better throughput along 4.2 Distributed Pairing Scheme with low processing delay. The pairing scheme also serves the purpose of the RS In a Distributed pairing, the RS selects its routing selection method in more than two own MS units and it’s serving RS in more hop routing. Hence, the two standards have than two hop relay system. It gathers local provided two types of pairing schemes for channel information from neighboring MS’s Relay selection. The selection is done by & RS and from serving BS. Each RS’s of a using channel and location information. particular serving BS uses a common communication channel. 4.1 Centralized Pairing Scheme In a Centralized pairing scheme [1], the BS serves as a central node to collect the required channel and location information
  • 4. since smaller hops are favorable as it increases delay. Path cost = (Link Throughput/Hop count) [5] The best path is selected i.e. the path maximum value among the calculated costs, since it provides the higher link throughput. Both Centralized pairing scheme and distributed pairing schemes are able to increase the probability of network [5] Relay network entry scenario connection, hence increases the traffic and are also able to provide maximum Fig: II throughput. As distributed pairing schemes are used in II. Simulation Results more than two hop relay connections, it also serves the purpose of path selection. The A Matlab simulation was performed channel information is sent through UCD to demonstrate the reduction in transmission messages. The UCD [6] message is an power level in simple two-hop relay uplink channel descriptor which is compared to conventional line of sight broadcasted by the BS at a periodic interval transmission. The Matlab codes for two in order to provide burst profiles (physical cases are provided in Appendix A. parameter sets) that can be used by uplink Case 1: Calculation of transmission power physical channels. For RS routing selection level over a fixed distance between BS and purpose, the UCD messages contain link MS, while RS is placed at variable distance. available bandwidth, SNR and Hop count. The latency or delay in routing depends on these parameters. Each RS sets its own path metric table using the parameters in UCD message. Figure II demonstrates how the relay station selects its routing path in distributed pairing scheme. The RS sets the metric path table using the information of neighboring RS sent by the serving BS of the respective neighboring RS. Using the path metric table, the RS calculates the cost of each route dividing the link throughput by hop count, Fig: III
  • 5. The calculations were performed for The result in fig IV shows that there is receiving power level of -30 dBm with considerable reduction in total transmitted pathloss exponent 4. The values were taken power level, when simple relay is used, over a distance of 0 to 2000 meters. when the mobile is in motion moving away from BS. The result in figure III shows that using a simple Relay reduces the transmission III. Conclusion and Summary power level between BS and MS. The minimum power level in this ideal case is The Relay Technology to be used in the obtained, when the RS is placed at the WiMax and LTE networks provides better halfway distance between BS and MS. performance compared to conventional transmission methods, in terms of increase in coverage capacity, achievable peak data rate and reduction in power level. Thus, the Case 2: Based on the study in [6], to cost effective Relay technique is a better demonstrate the reduction in transmission alternative for signal transmission to meet power level by using the simple relay the requirements of high data rate and QOS compared to direct line of sight in advanced mobile systems. transmission, when the MS is in motion away from BS. For future we would like to demonstrate the power consumption level in DCF and to simulate effects of noise in our current simulation results. The current results are based on ideal noise free environments. Fig: IV The calculations with the same parameters as case 1 to receive power level of -30 dBm at MS. The RS was placed at 400 meters from BS. The location of MS is changed further away from BS, for each calculation.
  • 6. References [5] Sojeong Ann, “A Path selection method in IEEE 802.16j Mobile Multi-hop relay [1] Yang Yang, “Relay Technologies for Networks”, Computer Society, IEEE, 2008 WiMax and LTE-Advanced Mobile Systems”, Communications Magazine, [6] Jee Young Song, “Power Consumption IEEE, October 2009 Reduction by Multi-hop Transmission in Cellular Networks”, IEEE, 2004 [2] Steven W. Peters, “The future of WiMax: Multihop Relaying in IEEE 802.16j” Communications Magazine, IEEE, January 2009 [3] Mustafa Ergen, “Mobile Broadband: Including WiMax and LTE”, Springer publications [4] Vijay Garg, “Wireless Communications and Networking”, Morgan Kaufmann Publishers
  • 7. Appendix A: MATLAB Code Simulation 1: To demonstrate the effects of using relay transmission method over direct line of sight method on the transmission power required to provide a receiving power level of -30 dBm at the mobile station. function power close all; % Part 1: No-Relay Transmitted power Pr = 10^-3; % Rx. power requirement of the M.S dt = 2000; % Fixed distance from B.S to M.S y=4; % Pathloss exponent in urban areas Ptbm = Pr*(dt^y); % Calculate power transmitted in No relay system PtbmdB = pow2dB(Ptbm) % Convert Milli Watts into dB norelay=PtbmdB; contnplot=0:1:2000; % For continuous graph % Part 2: Relay Transmitted Power (Two-hop transmission) dr = 0:50:2000 % distance at which RS is placed between BS & MS for count1=1:41 % To calculate multiple values of Tx. Power Ptb(count1)= (Pr*((dr(count1))^y)); % Calc. Tx Pwr from BS to RS Ptr(count1)= (Pr*((dt-dr(count1))^y)); % Calc. Tx Pwr from RS to MS Ptm(count1)=Ptb(count1)+ Ptr(count1); % Calc. total Tx Pwr PtmdB(count1)= pow2dB(Ptm(count1)) % Convert Milli Watts into dB Ptmin=min(PtmdB) % Find the minimum Tx. pwr % find the distance at which minimum Tx. Pwr is achieved if PtmdB(count1)== Ptmin dmin = dr(count1); end end % Part 3: Plot the graph figure, hold on % To plot the graph at the same plot xlabel('Distance'); ylabel('Tx Power in dBm'); title('Tx. Power v/s distance') xlim([0 2000]); ylim([80 110]); p1=plot(dr,PtmdB,'ro-'); % Plot the graph for Tx. Pwr in No Relay p2=plot(contnplot,norelay); % Plot the graph for Tx. Pwr in Relay Tx. p3=plot(dmin,Ptmin,'*'); % To plot the Min. Tx. Pwr in Relay Tx. legend('Simple Relay', 'No Relay' , 'Optimum Power level'); hold off;
  • 8. Simulation 2: To observe the trend of transmission power level, due to change in location of MS, between direct line of sight and Simple relay method. function transmission close all; % Part 1: No-Relay Transmitted power Pr = 10^-3; % Rx. power requirement in milli watts of the M.S dt = 500:100:2000; % Range of distance between B.S to M.S y=4; % Pathloss exponent in urban areas for count1=1:16 Ptd(count1) = Pr*(dt(count1)^y); % Calculate power transmitted in No relay system PtddB(count1) = pow2dB(Ptd(count1)) % Convert Milli Watts into dBm end % Part 2: Two Hop transmission dr = 400 % Fixed distance at which RS is placed between BS & MS for count1=1:16 % To calculate multiple values of Tx. Power Ptb(count1)= (Pr*((dr^y))); % Calc. Tx Pwr from BS to RS Ptr(count1)= (Pr*((dt(count1)-dr)^y)); % Calc. Tx Pwr from RS to MS Ptm(count1)=Ptb(count1)+ Ptr(count1); % Calc. total Tx Pwr PtmdB(count1)= pow2dB(Ptm(count1)) % Convert Milli Watts into dBm end %Part 3:Plotting the graph figure, hold on % To plot the graph at the same plot xlabel('Location of Mobile station'); ylabel('Tx Power in dBm'); title('Tx. Power v/s distance') xlim([0 2200]); ylim([60 130]); plot(dt,PtddB,'ro-'); % To plot the result of No relay system plot(dt,PtmdB,'ko-') % To plot the result of Simple Relay legend('No Relay', 'Simple Relay'); hold off;