Analysis of Linear Equalizers for Cooperative Multi-User MIMO Based Reporting System
In this paper, we consider a multi user multiple input
multiple output (MU-MIMO) based cooperative reporting system for
cognitive radio network. In the reporting network, the secondary
users forward the primary user data to the common fusion center
(FC). The FC is equipped with linear equalizers and an energy
detector to make the decision about the spectrum. The primary user
data are considered to be a digital video broadcasting - terrestrial
(DVB-T) signal. The sensing channel and the reporting channel are
assumed to be an additive white Gaussian noise and an independent
identically distributed Raleigh fading respectively. We analyzed the
detection probability of MU-MIMO system with linear equalizers and
arrived at the closed form expression for average detection
probability. Also the system performance is investigated under
various MIMO scenarios through Monte Carlo simulations.
[1] S.Haykin, "Cognitive Radio: Brain Empowered Wireless
Communication," IEEE Journal on selected areas in commn,Vol.23,
No.2, pp. 201-220, 2005.
[2] Akyildiz F. Ian, Brandon F. Lo, and Ravikumar Balakrishnan,
"Cooperative spectrum sensing in cognitive radio networks: A survey,
"Physical Commns.,Vol.4, No.1, pp. 40-46, 2011
[3] Ganesan,G., and Y. (G.) Li., "Cooperative spectrum sensing in cognitive
radio-part I: Two user networks," IEEE Trans. Wireless Commns., Vol.6
No.6, pp. 2204-2213, 2007.
[4] Ganesan,G., and Y. (G.) Li.," Cooperative spectrum sensing in cognitive
radio-part II: Multiuser networks," IEEE Trans. Wireless Communs.,
Vol.6 N0.6, pp. 2214-2222, 2007
[5] Jun Ma, Zhao,G., and Y.Li., "Soft Combination and Detection for
cooperative Spectrum Sensing in Cognitive Radio Networks," IEEE
Trans. on wireless commns. , Vol.7 No.11 pp. 4502-4507, 2008.
[6] Mietzner, J., Schober, R., Lampe, L., Gerstacker, W.H., Hoeher, P.A.,"
Multiple-antenna techniques for wireless communications - a
comprehensive literature survey," IEEE Communications Surveys and
Tutorials, Vol.11, No.2, pp. 87-105, 2009.
[7] Pu Wang, Jun Fang, Ning Han, Hongbin Li, "Multiantenna Assisted
Spectrum Sensing for Cognitive Radio," IEEE Trans. on Vehicular
Technology, Vol.59, No.4, pp. 1791-1800, 2010.
[8] Taherpour, A., Nasiri-Kenari, M., Gazor, S., "Multiple antenna spectrum
sensing in cognitive radios," IEEE Trans. on Wireless Commns., Vol.9,
No.2 , pp. 814-823, 2010.
[9] Rui Zhang, Teng Joon Lim, Ying Chang Liang, Yonghong Zeng,
"Multi-antenna based spectrum sensing for cognitive radios: A GLRT
approach," IEEE Trans. on Commns., Vol.58, No.1, pp. 84-88, 2010.
[10] Rui Zhang, Ying Chang Liang, "Exploiting Multi-Antennas for
Opportunistic Spectrum Sharing in Cognitive Radio Networks," IEEE
Journal of Selected Topics in Signal Processing, Vol.2 No.1, pp. 88-102,
2008.
[11] Singh, A., Bhatnagar, M.R., Mallik, R.K., "Cooperative Spectrum
Sensing in Multiple Antenna Based Cognitive Radio Network Using an
Improved Energy Detector," IEEE Communications Letters, Vol.16
No.1, pp. 64-67, 2012.
[12] Liza, J., Muthumeenakshi, K., Radha, S., "Cooperative Spectrum
Sensing in a Realistic Cognitive Radio Environment," International
Conference on Recent Trends in Information Technology (ICRTIT),
pp.375-379, 2011.
[13] Hariharan, S., Venkata Siva Prasad, S., Muthuchidambaranathan, P.,
''Average detection probability analysis for cooperative-MIMO spectrum
sensing in cognitive radio networks,'' International Conference on
Advances in Computing, Communications and Informatics (ICACCI),
pp. 133-136, 2013.
[14] Daniel Riviello, Roberto Garello, Sergio Benco, Floriana Crespi and
Alberto Perotti, "Sensing of DVB-T Signals for White Space Cognitive
Radio Systems," The Third InternationalConference on Advances in
Cognitive Radio, pp. 12-17, 2013
[15] Danev, D., "On signal detection techniques for the DVB-T standard,"
International Symposium on Communications, Control and Signal
Processing (ISCCSP), pp. 1-5, 2010.
[16] Lei Chen, Qihang Peng, Jun Wang and Shaoqian Li, "Sensing schemes
for DVB-T in cognitive radio context," International Conference on
Communications, Circuits and Systems, pp. 314-318, 2007.
[17] Danev, D., Axell, E., Larsson, E.G.," Spectrum sensing methods for
detection of DVB-T signals in AWGN and fading channels",
International Symposium on Personal Indoor and Mobile Radio
Communications (PIMRC), pp. 2721-2726, 2010.
[18] Sunmin Lim, Hoiyoon Jung, Myung Sun Song, "Cooperative Spectrum
Sensing for IEEE 802.22 WRAN System," Proc. of Internatonal
Conference on Computer Communications and Networks, pp. 1-5, 2009.
[19] Jian Li and Petre, MIMO Radar Signal Processing, John Wiley and
Sons, 2009.
[20] Saeed, R.A., Mokhtar, R.A., "TV white spaces spectrum sensing Recent
developments, opportunities and challenges," International Conference
on Sciences of Electronics, Technologies of Information and
Telecommunications (SETIT), pp. 21-24, 2012.
[21] Hongjian Sun, Nallanathan, A., Jing Jiang, Cheng-Xiang Wang,
"Cooperative spectrum sensing with diversity reception in cognitive
radios," International Conference on Communications and Networking
in China (CHINACOM), pp.216-220, 2011.
[22] Urkowitz, Harry. "Energy detection of unknown deterministic signals,"
Proceedings of the IEEE., Vol.55, No.4, pp. 523-531, 1967.
[23] F.F.Digham, M.S Alouini and M.K.Simon, "On the Energy Detection of
Unknown signals Over fading Channels," IEEE Trans. on Communs.,
Vol. 55, No. 1, pp 21-25, 2007.
[24] Keonkook Lee, Chan-Byoung Chae, Joonhyuk Kang, Tae-Kyung Sung,
"MMSE receiver spatial sensing technique for cognitive radio
networks," International Symposium on Communications and
Information Technologies (ISCIT), pp.377-381, 2012.
[25] Keonkook Lee, Chan-Byoung Chae, Heath, R.W., Joonhyuk Kang,
"MIMO Transceiver Designs for Spatial Sensing in Cognitive Radio
Networks," IEEE Trans. on Wireless Communs., vol.10, No.11, pp.
3570-3576, 2011.
[26] Papoulis, A., and Unnikrishna Pillai, S., Probability, Random variables
and Stochastic Process, 4th Ed., New work, McGraw-Hill, 2002.
[27] Yong Soo Cho, Jaekwon Kim, Won Young Yang and Chung G. Kang.,
MIMO-OFDM wireless communications with MATLAB, John Wiley and
Sons, 2010, Ch. 13.
[28] Daniel W. Bliss, Siddhartan Govindasamy, Adaptive Wireless
Communications: MIMO Channels and Networks, Cambridge Press,
2013, Ch. 16.
[29] Gradshteyn, I.S. and Ryzhik,I.M., Table of Integrals, Series and
Products, 6th ed., CA: Academic San Diego, 2000.
[30] Honig, Michael L. Advances in Multiuser Detection, Hoboken, NJ:
Wiley, 2009, Ch. 6.
[31] Nuttall, A.H., "Some Integrals Involving the QM function," IEEE trans.
on Information Theory, vol.21, No.1, pp. 95-96, 1975.
[32] Morales-Jimenez, D.; Lopez-Martinez, F.J.; Martos-Naya, E.; Paris, J.F.;
Lozano, A., "Connections Between the Generalized Marcum Q-Function
and a Class of Hypergeometric Functions," Information Theory, IEEE
Transactions on , vol.60, No.2, pp.1077-1082, 2014.
[33] Bateman, Harry. Tables of Integral Transforms. New York, NY:
McGraw-Hill, 1954. N. pag. Print
[34] Milton Abramowitz and Irene A. Stegun, Hand book of mathematical
functions with formulas, graphs, and Mathematical Tables. 1964.
[35] Shellhammer, S. and Chouinard, G., Spectrum sensing requirements
summary, IEEE Std.802.22-06/0089r4, 2006. http://www.ieee802.org/
22/Meetingdocuments / 2006 July / 22-06-0089-04-0000- Spectrum
Sensing-Requirements-Summary.doc.
[1] S.Haykin, "Cognitive Radio: Brain Empowered Wireless
Communication," IEEE Journal on selected areas in commn,Vol.23,
No.2, pp. 201-220, 2005.
[2] Akyildiz F. Ian, Brandon F. Lo, and Ravikumar Balakrishnan,
"Cooperative spectrum sensing in cognitive radio networks: A survey,
"Physical Commns.,Vol.4, No.1, pp. 40-46, 2011
[3] Ganesan,G., and Y. (G.) Li., "Cooperative spectrum sensing in cognitive
radio-part I: Two user networks," IEEE Trans. Wireless Commns., Vol.6
No.6, pp. 2204-2213, 2007.
[4] Ganesan,G., and Y. (G.) Li.," Cooperative spectrum sensing in cognitive
radio-part II: Multiuser networks," IEEE Trans. Wireless Communs.,
Vol.6 N0.6, pp. 2214-2222, 2007
[5] Jun Ma, Zhao,G., and Y.Li., "Soft Combination and Detection for
cooperative Spectrum Sensing in Cognitive Radio Networks," IEEE
Trans. on wireless commns. , Vol.7 No.11 pp. 4502-4507, 2008.
[6] Mietzner, J., Schober, R., Lampe, L., Gerstacker, W.H., Hoeher, P.A.,"
Multiple-antenna techniques for wireless communications - a
comprehensive literature survey," IEEE Communications Surveys and
Tutorials, Vol.11, No.2, pp. 87-105, 2009.
[7] Pu Wang, Jun Fang, Ning Han, Hongbin Li, "Multiantenna Assisted
Spectrum Sensing for Cognitive Radio," IEEE Trans. on Vehicular
Technology, Vol.59, No.4, pp. 1791-1800, 2010.
[8] Taherpour, A., Nasiri-Kenari, M., Gazor, S., "Multiple antenna spectrum
sensing in cognitive radios," IEEE Trans. on Wireless Commns., Vol.9,
No.2 , pp. 814-823, 2010.
[9] Rui Zhang, Teng Joon Lim, Ying Chang Liang, Yonghong Zeng,
"Multi-antenna based spectrum sensing for cognitive radios: A GLRT
approach," IEEE Trans. on Commns., Vol.58, No.1, pp. 84-88, 2010.
[10] Rui Zhang, Ying Chang Liang, "Exploiting Multi-Antennas for
Opportunistic Spectrum Sharing in Cognitive Radio Networks," IEEE
Journal of Selected Topics in Signal Processing, Vol.2 No.1, pp. 88-102,
2008.
[11] Singh, A., Bhatnagar, M.R., Mallik, R.K., "Cooperative Spectrum
Sensing in Multiple Antenna Based Cognitive Radio Network Using an
Improved Energy Detector," IEEE Communications Letters, Vol.16
No.1, pp. 64-67, 2012.
[12] Liza, J., Muthumeenakshi, K., Radha, S., "Cooperative Spectrum
Sensing in a Realistic Cognitive Radio Environment," International
Conference on Recent Trends in Information Technology (ICRTIT),
pp.375-379, 2011.
[13] Hariharan, S., Venkata Siva Prasad, S., Muthuchidambaranathan, P.,
''Average detection probability analysis for cooperative-MIMO spectrum
sensing in cognitive radio networks,'' International Conference on
Advances in Computing, Communications and Informatics (ICACCI),
pp. 133-136, 2013.
[14] Daniel Riviello, Roberto Garello, Sergio Benco, Floriana Crespi and
Alberto Perotti, "Sensing of DVB-T Signals for White Space Cognitive
Radio Systems," The Third InternationalConference on Advances in
Cognitive Radio, pp. 12-17, 2013
[15] Danev, D., "On signal detection techniques for the DVB-T standard,"
International Symposium on Communications, Control and Signal
Processing (ISCCSP), pp. 1-5, 2010.
[16] Lei Chen, Qihang Peng, Jun Wang and Shaoqian Li, "Sensing schemes
for DVB-T in cognitive radio context," International Conference on
Communications, Circuits and Systems, pp. 314-318, 2007.
[17] Danev, D., Axell, E., Larsson, E.G.," Spectrum sensing methods for
detection of DVB-T signals in AWGN and fading channels",
International Symposium on Personal Indoor and Mobile Radio
Communications (PIMRC), pp. 2721-2726, 2010.
[18] Sunmin Lim, Hoiyoon Jung, Myung Sun Song, "Cooperative Spectrum
Sensing for IEEE 802.22 WRAN System," Proc. of Internatonal
Conference on Computer Communications and Networks, pp. 1-5, 2009.
[19] Jian Li and Petre, MIMO Radar Signal Processing, John Wiley and
Sons, 2009.
[20] Saeed, R.A., Mokhtar, R.A., "TV white spaces spectrum sensing Recent
developments, opportunities and challenges," International Conference
on Sciences of Electronics, Technologies of Information and
Telecommunications (SETIT), pp. 21-24, 2012.
[21] Hongjian Sun, Nallanathan, A., Jing Jiang, Cheng-Xiang Wang,
"Cooperative spectrum sensing with diversity reception in cognitive
radios," International Conference on Communications and Networking
in China (CHINACOM), pp.216-220, 2011.
[22] Urkowitz, Harry. "Energy detection of unknown deterministic signals,"
Proceedings of the IEEE., Vol.55, No.4, pp. 523-531, 1967.
[23] F.F.Digham, M.S Alouini and M.K.Simon, "On the Energy Detection of
Unknown signals Over fading Channels," IEEE Trans. on Communs.,
Vol. 55, No. 1, pp 21-25, 2007.
[24] Keonkook Lee, Chan-Byoung Chae, Joonhyuk Kang, Tae-Kyung Sung,
"MMSE receiver spatial sensing technique for cognitive radio
networks," International Symposium on Communications and
Information Technologies (ISCIT), pp.377-381, 2012.
[25] Keonkook Lee, Chan-Byoung Chae, Heath, R.W., Joonhyuk Kang,
"MIMO Transceiver Designs for Spatial Sensing in Cognitive Radio
Networks," IEEE Trans. on Wireless Communs., vol.10, No.11, pp.
3570-3576, 2011.
[26] Papoulis, A., and Unnikrishna Pillai, S., Probability, Random variables
and Stochastic Process, 4th Ed., New work, McGraw-Hill, 2002.
[27] Yong Soo Cho, Jaekwon Kim, Won Young Yang and Chung G. Kang.,
MIMO-OFDM wireless communications with MATLAB, John Wiley and
Sons, 2010, Ch. 13.
[28] Daniel W. Bliss, Siddhartan Govindasamy, Adaptive Wireless
Communications: MIMO Channels and Networks, Cambridge Press,
2013, Ch. 16.
[29] Gradshteyn, I.S. and Ryzhik,I.M., Table of Integrals, Series and
Products, 6th ed., CA: Academic San Diego, 2000.
[30] Honig, Michael L. Advances in Multiuser Detection, Hoboken, NJ:
Wiley, 2009, Ch. 6.
[31] Nuttall, A.H., "Some Integrals Involving the QM function," IEEE trans.
on Information Theory, vol.21, No.1, pp. 95-96, 1975.
[32] Morales-Jimenez, D.; Lopez-Martinez, F.J.; Martos-Naya, E.; Paris, J.F.;
Lozano, A., "Connections Between the Generalized Marcum Q-Function
and a Class of Hypergeometric Functions," Information Theory, IEEE
Transactions on , vol.60, No.2, pp.1077-1082, 2014.
[33] Bateman, Harry. Tables of Integral Transforms. New York, NY:
McGraw-Hill, 1954. N. pag. Print
[34] Milton Abramowitz and Irene A. Stegun, Hand book of mathematical
functions with formulas, graphs, and Mathematical Tables. 1964.
[35] Shellhammer, S. and Chouinard, G., Spectrum sensing requirements
summary, IEEE Std.802.22-06/0089r4, 2006. http://www.ieee802.org/
22/Meetingdocuments / 2006 July / 22-06-0089-04-0000- Spectrum
Sensing-Requirements-Summary.doc.
@article{"International Journal of Electrical, Electronic and Communication Sciences:55447", author = "S. Hariharan and P. Muthuchidambaranathan", title = "Analysis of Linear Equalizers for Cooperative Multi-User MIMO Based Reporting System", abstract = "In this paper, we consider a multi user multiple input
multiple output (MU-MIMO) based cooperative reporting system for
cognitive radio network. In the reporting network, the secondary
users forward the primary user data to the common fusion center
(FC). The FC is equipped with linear equalizers and an energy
detector to make the decision about the spectrum. The primary user
data are considered to be a digital video broadcasting - terrestrial
(DVB-T) signal. The sensing channel and the reporting channel are
assumed to be an additive white Gaussian noise and an independent
identically distributed Raleigh fading respectively. We analyzed the
detection probability of MU-MIMO system with linear equalizers and
arrived at the closed form expression for average detection
probability. Also the system performance is investigated under
various MIMO scenarios through Monte Carlo simulations.
", keywords = "Cooperative MU-MIMO, DVB-T, Linear Equalizers.", volume = "8", number = "5", pages = "730-5", }
