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Transcript of [IEEE 2013 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (IMOC) - Rio de...
Cognitive Radio
Occupancy Measurement
Mauro Vieira de Lima
Telecommunications Metrology Division
INMETRO
Duque de Caxias, Brazil
Abstract — A simulation tool was developed to
performance of cognitive radio systems based on the spectral
efficiency achieved. The tool utilizes measurements of spectrum
occupancy by primary users as input data. A description of
measurements setup and methodology is presented,
consolidated results of spectral occupancy in frequency bands from
144 MHz to 2690 MHz at one site in Rio de Janeiro, Brazil.
Simulation results indicate that cognitive radio efficiency is
strongly dependent on occupancy fragmentation
scheme to improve performance of cognitive radio systems in
fragmented frequency bands is proposed.
Keywords-component; Spectral Occupancy; Spectrum
Management; Dynamic Spectrum Access; Cognitive Radio.
I. INTRODUCTION
The spectrum management by regulatory bodies is based by granting license to a fixed allocation of frequencies to a single user or to a few coordinated operators in large geographical areas. Spectral occupancy measurements show that this form of the spectrum management is inefficient, as operators subtilize a large part of the spectrum [1].
Due to the rapid proliferation of wireless communication systems and the growth of data traffic from such as smartphones, there is a huge demand for radio spectrum [2]. However, the current regulatory in a lack of spectrum needed to the forecasted capacity growth of wireless broadband systems.
The cognitive radio technology could reduce the problem of radio spectrum scarcity by the use of dynamic spectrum access(DSA) which allows unlicensed (secondary) devices to identify underutilized portion of licensed spectrum and use opportunistic way without causing significantthe licensed (primary) users. In this context, spectral occupancy measurements are needed to enable new spectrum management policies by regulatory bodies and the development of intelligent techniques for dynamic spectrum access by cognitive radios.
This paper presents a simulation tool developed to evaluate the performance of cognitive radio systems based on the spectral efficiency achieved. The tool utilizes measurements of spectrum occupancy by primary users as input data.
Cognitive Radio Simulation Based on
Measurements at One Site in Brazil
Telecommunications Metrology Division
Luiz da Silva Mello
Center for Telecommunication Studies
CETUC/PUC
Rio de Janeiro, Brazil
simulation tool was developed to evaluate the
performance of cognitive radio systems based on the spectral
tool utilizes measurements of spectrum
A description of the
and methodology is presented, as well as the
in frequency bands from
one site in Rio de Janeiro, Brazil.
itive radio efficiency is
fragmentation. An allocation
cognitive radio systems in
Spectral Occupancy; Spectrum
Cognitive Radio.
regulatory bodies is mostly by granting license to a fixed allocation of frequencies to
operators in large tral occupancy measurements show
of the spectrum management is inherently a large part of the spectrum
Due to the rapid proliferation of wireless communication rom mobile devices
such as smartphones, there is a huge demand for radio regulatory scenario results
a lack of spectrum needed to the forecasted capacity growth
reduce the problem of dynamic spectrum access
which allows unlicensed (secondary) devices to identify underutilized portion of licensed spectrum and use it in an
significant interference to the licensed (primary) users. In this context, spectral occupancy
enable new spectrum management policies by regulatory bodies and the development of
amic spectrum access by
a simulation tool developed to evaluate the performance of cognitive radio systems based on the spectral efficiency achieved. The tool utilizes measurements of spectrum occupancy by primary users as input data. Section II
describes the measurements setup and methodologmetrics used to characterize spectrum occupancy and the consolidated measurements results. simulation tool and an assessmentquality. Section IV develops a study of spectrum oSection V presents the conclusions.
II. MEASUREMENTS SETUP
A. Measurements Setup
The measurement campaign of the National Metrology, Quality and Technology Institute(INMETRO) laboratorial campus in Duque de CaxiasJaneiro, Brazil, during the months of March, April and May 2012.
Measurements sweep the frequencies bands from 144 MHz to 2690 MHz for periods of 24 hoursfollowed the frequency allocation plan from telecommunications regulatory agency
The measurement system was assembled as shown in Figure 1. A laptop performs analyzer and data recording. The measurements are controlledand data transferred remotely, via Internet.
Figure 1. Measurement
Based on Spectrum
at One Site in Brazil
Luiz da Silva Mello
for Telecommunication Studies
CETUC/PUC-Rio
Rio de Janeiro, Brazil
the measurements setup and methodology, the metrics used to characterize spectrum occupancy and the consolidated measurements results. Section III describes the
assessment of the frequency bands a study of spectrum opportunities.
Section V presents the conclusions.
ETUP, METHODOLOGY AND RESULTS
The measurement campaign was performed on the grounds he National Metrology, Quality and Technology Institute
campus in Duque de Caxias, Rio de months of March, April and May
sweep the frequencies bands from 144 MHz periods of 24 hours. The band segmentation
allocation plan from the Brazilian regulatory agency - ANATEL [3].
system was assembled as shown in Figure 1. A laptop performs the control of the spectrum
. The measurements are controlled via Internet.
Measurement setup.
978-1-4799-1397-8/13/$31.00 ©2013 IEEE
B. Methodology
The measurements use a statistical approach to evaluate the spectral occupancy. Measurements duration depends on the accuracy desired for the statistical evaluation of occupancy
The smaller the occupancy of a frequency channel, larger the number of samples required for a desired confidence level. Figure 2 shows the number of samples needed a relative accuracy of 10% with a confidence level of
Figure.2. Number of samples x spectrum occupancy
(relative accuracy 10% - confidence level 95%)
In order to obtain an adequate number of samples for an occupancy level of less than 5%, the frequency span waslimited to a maximum of 100 MHz for a 10KHz RBWthat, we obtain revisit times of less than 4 seconds and the number of samples of a particular channel larger than 1
The spectral occupancy can be defined asa power measurement to be above a predefined threshold.threshold power was established as the measureplus a margin to consider the variations instantaneous noise power due to signal propagation.The margin must be reduce the probability of detection error. It should be sufficient to reduce the probability of false alarmoverestimation of the occupancy. On the other handmargin cannot be too large as it could cause misdetection and, consequently, a sub-estimation of the occupancy. Thus, aoff must be established in the selection of Following [5], a false alarm rate of about 1% margin of 6 dB above the noise floor.
C. Metrics for Occupancy Analysis
The basic metric that describes the spectrum known as the duty cycle. It is the fraction of time that a frequency band is defined as busy and represents the average time of spectrum use.
Let nS be the number of samples where Ppower level threshold and PR the reception sample. It can be assumed that the time that a frequency channel was busy during the measurement period t is sweep channel duration. Thus, taking T as the total period of measurement and N the total number of samples, we can compute the duty cycle (DC) for each frequency channel as:
. ..
a statistical approach to evaluate the duration depends on the
accuracy desired for the statistical evaluation of occupancy.
occupancy of a frequency channel, the the number of samples required for a desired confidence
the number of samples needed to provide a confidence level of 95% [4].
spectrum occupancy
confidence level 95%)
In order to obtain an adequate number of samples for an the frequency span was
limited to a maximum of 100 MHz for a 10KHz RBW.With less than 4 seconds and the
articular channel larger than 10.000.
The spectral occupancy can be defined as the probability of be above a predefined threshold.The
measured noise floor the variations instantaneous noise
power due to signal propagation.The margin must be chosen to r. It should be sufficient
reduce the probability of false alarm, avoiding an On the other hand, this
margin cannot be too large as it could cause misdetection and, estimation of the occupancy. Thus, a trade-
be established in the selection of the threshold. 1% corresponds to a
spectrum occupancy is duty cycle. It is the fraction of time that a
frequency band is defined as busy and represents the average
be the number of samples where PR>PL, PL being the power level of a
the time that a frequency ng the measurement period is nS.t, where
taking T as the total period and N the total number of samples, we can
) for each frequency channel as:
(2.1)
Note that duty cycle providesthe frequency channel was busy, but notevents occur. Aiming to analyze temporal patterns of occupation, plots of channel usewaterfall graphs, can be used. Fcycle and waterfall graphs.
Figure.3. Duty cycle and waterfall
D. Consolidated Results of Spectral Occupa
A cognitive radio device performs sensingspectrum opportunities, known as Minimizing time and energy sensing allows increasing transfer and giving more autonomy to the device batteryCognitive radios must decide which bands and channels sense and can use prior knowledgeanalysis of spectral occupancy [
The average occupancies of each fin our measurements, are consolidated in figure 4, allowing compare and visualize the occupation of the measured. The underutilization of the spectrum is evidenthe graph. An average occupancy of only 19.6% of themeasured bands was observedbands have occupancies larger mobile services and one for TV subscription service (MMDS). The results show that mobile servicesefficiency of spectrum use.
Figure.4. Measured a
(a)
provides the percentage of time that y channel was busy, but not when such occupation
to analyze temporal patterns of of channel use versus time, known as
Figure 3 shows examples of duty
aterfall graphs for the 806-902 MHz band.
Consolidated Results of Spectral Occupancy
A cognitive radio device performs sensing searches for opportunities, known as white spaces (WS). time and energy sensing allows increasing the data
transfer and giving more autonomy to the device battery. ognitive radios must decide which bands and channels to
prior knowledge obtained from the statistical [6].
of each frequency band, obtained consolidated in figure 4, allowing
the occupation of the whole spectrum measured. The underutilization of the spectrum is evident in
average occupancy of only 19.6% of the all measured bands was observed. Only 7 of the 32 frequency
larger than 30%, six of then used by mobile services and one for TV subscription service (MMDS).
mobile services have the highest
average spectral occupancy.
(b)
III. QUALITY ASSESSMENT OF FREQUENCY
COGNITIVE RADIO USE
The consolidated spectral occupancy shown allows to comparison and identification frequency bands less occupied for opportunistic use. In this section, an assessment of the frequency bands quality of a DSA cognitive radio scheme.
The tool developed uses occupancy data measurements to simulate primary users.This approach allows associating the performance of the simulated system quality of the frequency range for use in a cognitive radio system.
A. Cognitive Radio System Simulation
The use of measured data simulates the behavior Users (PU) that is an advantage over PU artificial generation [7] [8] [9]. Secondary Users (SU) are generated Poisson distribution for the arrival rate. The premises of the simulation are described below.
(a) The system is centralized, i.e., the cognitive manages channel allocation of SU.
(b) The system uses channel aggregationrequired bandwidth.
(c) When a SU wants to communicate, the procedure is as follows: (i) the SU requests a channel to the radiobase(ii) the radiobase performs a channel algorithm and informs the channel to (iii) the SU initiates a communicationallocated channel.
(d) When a PU begins its communicationchannel in use by an SU, the SU stopreleasing the channel for PU and returning
Figure 5 shows the simulation tool block diagram
Figure.5. Simulation tool block diagram
The simulation was performed a hundred timesthe following performance parameters: (i) Throughputchannels per second) indicates how many times the radiobase
REQUENCY BANDS FOR
shown in section II frequency bands less
In this section, it will be shown quality using simulation
data from the spectrum This approach allows
associating the performance of the simulated system to the in a cognitive radio
behavior of Primary PU artificial generation
generated assuming a . The premises of the
the cognitive radiobase
aggregation to provide the
the procedure is as
radiobase; channel allocation
to SU; a communication using the
communication through a stops its transmission, returning to step (c).
ion tool block diagram.
lock diagram
hundred times to generate (i) Throughput (in
how many times the radiobase
meets the SU requests; (ii) Forced Termination many times a SU in service is appeared inside its channel; (iii) times a SU arrives in the system and there is not enough channels to serve it. Figure parameters as a function of the arrival ratenormalized in relation to the maximum observed value
Figure.6.Simulation performance parameters
B. Spectral Efficiency Assessment
The spectral efficiency per channel from simulated cognitive radio system was calculated. Spectral efficiency is the rate that can be transmitted through a system bandwidth, measured in bits/s/Hz. To calculate throughput inadopted, as a reference, the spectral efficiency standard "release" 8 to 1.4 MHz channel, resulting efficiency of 1.74 bit/s/Hz [10].
Figure 7 shows the occupancy by primary usersand the spectral efficiency of secondary users asIn general, the higher the occupancy, the lower the spectral efficiency of the cognitive radio system and vice
Figure.7.Occupancy
Note that there are bands with similar occupations, such as 19302110 MHz bands. The last of these bands higher spectral efficiency compared to others.
Studying this difference by channel waterfall graphs of Figure the 1930-1970 MHz band of Figure fragmentation, characterized by the scattering of the occupation, while in 2025-2110 MHz band of Figure occupation is less fragmented.
Forced Termination indicates how many times a SU in service is turned off because a PU
(iii) Blocking indicates how many rives in the system and there is not enough
Figure 6 shows the performance as a function of the arrival rate. The values are
normalized in relation to the maximum observed value.
Simulation performance parameters.
ssessment
The spectral efficiency per channel from simulated cognitive radio system was calculated. Spectral efficiency is the rate that can be transmitted through a system bandwidth,
To calculate throughput in bit/s, it was adopted, as a reference, the spectral efficiency from LTE
to 1.4 MHz channel, resulting in a spectral .
ncy by primary users as wide bars of secondary users as narrow bars.
the occupancy, the lower the spectral cognitive radio system and vice-versa.
and efficiency per channel.
Note that there are bands with different efficiencies and , such as 1930-1970, 1970-2025 and 2025-
2110 MHz bands. The last of these bands presents significantly higher spectral efficiency compared to others.
Studying this difference by comparing the occupancy waterfall graphs of Figure 8, it can be observed that in
band of Figure 8.a there is severe fragmentation, characterized by the scattering of the
2110 MHz band of Figure 8.b, the
Figure.8.Waterfall (a) 1930-1970 MHz (b) 2025
It appears that fragmentation is a factor that contributes to lower spectral efficiency. Thus, an assessment of frequency bands for a cognitive radio system should not be based on spectral occupancy only, but also on fragmentation.
IV. STUDY OF SPECTRUM OPPORTUNITIES
The quality assessment of the frequency bands, using the simulation tool to find out spectral efficiencyimportance of considering fragmentation in the choice of bands. Fragmentation can be understood as an intrinsic characteristic of the primary service in the However, some factors can worsen the fragmentation
The channeling increases the fragmfrequency band to a cognitive radio systemthat is partially occupied will be considered busy throughout its width.Variable width of the cognitive radio channel canused to avoid performance reduction. To evaluate how variable width impacts in performance of a fragmented frequency band that will be used by a cognitive radio system, a twodimensional model of spectral opportunities (developed, that allows it to be used as a channel allocation scheme and evaluate system performance.
A. Two-dimensional model of white space
A White Space (WS) is characterizedfrequency and its duration in time. The first featurethe throughput of the system. The second feature isfor minimize spectral handoff. Considering that changes its width and duration according to the occupancy changes occurring in the frequency range, it to group adjacent WS to form a contiguous rectangular block of larger width and duration. To develop the WS group functions, manipulating functions of binary imageBinary images are black and white images zeros and ones, respectively. It is not be interaggregate small blocks, since the cost/benefit would be high and not provide large bandwidth to the system. Therefore, blocks with little width were discarded and only blocks greater than 1 MHz were considered.
To perform the statistical characterization frequency range, counting and classification of performed, providing the joint probability frequency width (w) and time duration (τ).
(a)
1970 MHz (b) 2025-2110 MHz
It appears that fragmentation is a factor that contributes to lower spectral efficiency. Thus, an assessment of frequency
cognitive radio system should not be based on fragmentation.
PPORTUNITIES
assessment of the frequency bands, using the simulation tool to find out spectral efficiency, highlighted the
fragmentation in the choice of Fragmentation can be understood as an intrinsic
primary service in the frequency band. However, some factors can worsen the fragmentation.
mentation of the system, since a channel
considered busy throughout its of the cognitive radio channel can be
used to avoid performance reduction. To evaluate how variable of a fragmented frequency band
used by a cognitive radio system, a two-(white spaces) was
allows it to be used as a channel allocation
is characterized by its width in The first feature is crucial to
The second feature is important Considering that the WS
its width and duration according to the occupancy it will be necessary
form a contiguous rectangular block To develop the WS group
functions, manipulating functions of binary image were used. Binary images are black and white images depicting only
not be interesting to aggregate small blocks, since the cost/benefit would be high and not provide large bandwidth to the system. Therefore,
only blocks greater
rization of WS into each classification of the WS was
the joint probability function of
Taking n() as the number of elements, and S() as the number of blockexpress as:
, ΤAnd
,
Figure 9 shows a bivariate graph of WS Density
from measurements in 806-902 MHz.
Figure.9. WS density
B. WS allocation scheme
Using the two-dimensional model and technique, a WS allocation scheme simulation tool. In this scheme, the premises remain unchanged. However, the occupancy changed take advantage of the use of WS and duration, instead of fixed channel
The WS allocation scheme can be illustrated by Figure There are 3 WS detected in the last sensing. From these current WS, 3 time windows are defined of WS that occurred in the past according to sensing history.The search for WS is performed inside each time window and the mean and standard deviation of and Duration are calculated. The criteria for the current WS are:
• lower standard deviation
• lower standard deviation for Start and
• highest mean for DurationThe criterion aims to increase throughput and reduce the
probability of collision. Therefore, seekWidths and Starts and longer Duration of WS in sensing history to get the lower chanceslargest Width is not always selected. This more important to perform a complete cgetting a larger Width at the cost of havinginterruption by a collision.
(b)
Taking n() as the number of elements, Ω as sample space blocks, the joint probability can be
, Ω
, Τ
a bivariate graph of WS Density obtained 902 MHz.
WS density (806-902 MHz)
dimensional model and the WS search technique, a WS allocation scheme was developed using the simulation tool. In this scheme, the premises about the system remain unchanged. However, the occupancy by the SU is
the use of WS with varying width , instead of fixed channel width.
The WS allocation scheme can be illustrated by Figure 10. the last sensing. From these current
defined and used to calculate statistics occurred in the past according to sensing history.
The search for WS is performed inside each time window and mean and standard deviation of the parameters Start, Width
The criteria for selecting one of
lower standard deviation and higher mean for Width;
lower standard deviation for Start and
highest mean for Duration The criterion aims to increase throughput and reduce the
herefore, seeks to obtain similar Widths and Starts and longer Duration of WS in sensing
chances of collision. As a result, the not always selected. This happens because it is
more important to perform a complete communication than at the cost of having high probability of
Figure.10.WS allocation scheme
After selecting the WS, the next step is allocation parameters to be used in SU communication. The parameters are defined by the average of Width. The Duration is not used as a parameter, because the system adopts a fixed service time.
C. Performance Comparison
A new version of the simulation tool was developed to perform the Bi-dim WS allocation scheme. The simulation was performed in the frequency bands of 1930-1970 and 2025MHz that, as presented in section III, have similar occupations and a large difference in spectral efficiency.
The Bi-dim simulation results were compared to of a fixed channel allocation scheme contiguous channels of 1MHz. The number of channels (K) used in this simulation is associated with the systemperformance, as an increase the number of channelsan increase on forced terminations.
Figure 11 shows graphs comparing the plotted with dashed lines, and the fixed channelscheme, plotted with solid lines. Red and magenta lines are from 1930-1970 MHz band, while blue and cyan lines are from 2025-2110 MHz band.
Figure.11.Allocation schemes comparison
Note that in the graphics for the band 2025Bi-dim scheme becomes better than the fixed Therefore, a bandwidth of about 3 MHz is the threshold between schemes in this frequency band. For the 1930MHz band, the Bi-dim scheme presents better throughput than
WS allocation scheme
After selecting the WS, the next step is to define the allocation parameters to be used in SU communication. The
the Start and the Width. The Duration is not used as a parameter, because the
sion of the simulation tool was developed to WS allocation scheme. The simulation was
1970 and 2025-2110 similar occupations
results were compared to the results that aggregates
The number of channels (K) simulation is associated with the system
increase the number of channels results in
graphs comparing the Bi-dim scheme, channel allocation
Red and magenta lines are 1970 MHz band, while blue and cyan lines are from
s comparison
for the band 2025-2110 MHz, the the fixed scheme for K>3.
, a bandwidth of about 3 MHz is the threshold between schemes in this frequency band. For the 1930-1970
dim scheme presents better throughput than
the fixed scheme for any value of K used.1930-1970 MHz band is more fragmenteddemonstrated that the Bi-dim scheme shows superior performance for any value of K in fragmented bands, while in bands less fragmented the performance is superior above a certain threshold value K.
V. CONC
This paper presented a comparative evaluation of the frequency bands in terms of its quality for use by an opportunistic cognitive system. This assessment was possible by the use of measurements of spectral occupancyprimary users in a simulation tool of a cognitive radio system. In this way, the system performancefrequency band quality.
The evaluation leads to the conclusion thatoccupation, fragmentation is an important factor for the quality of frequency bands for cognitive radiomodel and an allocation scheme performance in fragmented bands.better performance in fragmented frequency bands with systems based on variable width using
As future work, a field test to evaluate the performance of a cognitive radio system in fragmented frequencyperformed.
ACKNOWLEDGMENT
This work was supported by INMETRO and the CETUC/PUC-Rio.
REFERENCES
[1] Alexander M., Wyglinski, Maziar Nekovee, and Y. Thomas Hou; “Cognitive radio communications and networks”; Elsevier, 2010.
[2] “Cisco Visual Networking Index: Global Mobile Data Traffic Forecast Update, 2012–2017”, Cisco,at:http://newsroom.cisco.com/documents/10157/1142732/Cisco_VNI_Mobile_Data_Traffic_Forecast_2012_2017_white_paper.pdf
[3] “Plano de Atribuição, Destinação e Distribuição de Faixas de Frequências Anatel 2011”, Anatel, 2011
[4] Recommendation ITU-R SM.1880, "Spectrum occupancy measurement", ITU-R, 2011.
[5] Robin I. C. Chiang; Gerard B. Rowe and Kevin W. SowerbyQuantitative Analysis of Spectral Occupancy Measurements for Cognitive Radio”, 1550-2252, IEEE
[6] Miguel López-Benítez and Fernando CasadevallOccupancy Perception of Cognitive Radio Terminals in Realistic Scenarios”, 2nd International Workshop on Cognitive InfProcessing, 2010.
[7] Furong Huangy , Wei Wangy z , Haiyan Luoy , Guanding Yuy , Zhaoyang Zhangy, “PredictionHardware Limitation in Cognitive Radio Networks8/10, IEEE, 2010.
[8] Jongheon Lee and Jaewoo So, "Analysis of Cognitive Radio Networks with Channel Aggregation",978-1
[9] T. M. N. Ngatched, Attahiru S. Alfa, and Jun Cai, "Analysis of Cognitive Radio Networks with Channel Aggregation and Imperfect Sensing", 978-1-4577-0638-7 /11, IEEE, 2011.
[10] H. Holma and A. Toskala,“LTE for UMTS: OFDMA and SCBased Radio Access”, John Wiley & Sons, 2009.
for any value of K used. Reminding that the 1970 MHz band is more fragmented. The results
dim scheme shows superior performance for any value of K in fragmented bands, while in bands less fragmented the performance is superior above a
ONCLUSIONS
This paper presented a comparative evaluation of the frequency bands in terms of its quality for use by an
system. This assessment was possible surements of spectral occupancy to represent simulation tool of a cognitive radio system.
performance can be associated to the
to the conclusion that, besides the fragmentation is an important factor for assessing
s for cognitive radio. A new WS allocation scheme were developed to improve
fragmented bands. The results indicate that fragmented frequency bands are obtained variable width using statistics of WS.
s future work, a field test to evaluate the performance of a fragmented frequency bands will be
CKNOWLEDGMENT
This work was supported by INMETRO and the
EFERENCES
Alexander M., Wyglinski, Maziar Nekovee, and Y. Thomas Hou; “Cognitive radio communications and networks”; Elsevier, 2010.
Cisco Visual Networking Index: Global Mobile Data Traffic Forecast Cisco,February, 2013. Available
http://newsroom.cisco.com/documents/10157/1142732/Cisco_VNI_Mobile_Data_Traffic_Forecast_2012_2017_white_paper.pdf
Atribuição, Destinação e Distribuição de Faixas de Frequências Anatel 2011”, Anatel, 2011.
R SM.1880, "Spectrum occupancy
Gerard B. Rowe and Kevin W. Sowerby,“A ectral Occupancy Measurements for
IEEE, 2007.
Benítez and Fernando Casadevall, “On the Spectrum Occupancy Perception of Cognitive Radio Terminals in Realistic
2nd International Workshop on Cognitive Information
Furong Huangy , Wei Wangy z , Haiyan Luoy , Guanding Yuy , Prediction-based Spectrum Aggregation with
Hardware Limitation in Cognitive Radio Networks”, 978-1-4244-2519-
o, "Analysis of Cognitive Radio Networks 1-4244-6398-5/10, IEEE, 2010.
T. M. N. Ngatched, Attahiru S. Alfa, and Jun Cai, "Analysis of Cognitive Radio Networks with Channel Aggregation and Imperfect
/11, IEEE, 2011.
H. Holma and A. Toskala,“LTE for UMTS: OFDMA and SC-FDMA Based Radio Access”, John Wiley & Sons, 2009.