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CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249)
MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com
Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com
A SUPERPROCESS WITH UPPER CONFIDENCE BOUNDS FOR COOPERATIVE
SPECTRUM SHARING
ABSTRACT:
Cooperative Spectrum Sharing (CSS) is an appealing approach for primary users
(PUs) to share spectrum with secondary users (SUs) because it increases the
transmission range or rate of the PUs. Most previous works are focused on
developing complex algorithms which may not be fast enough for real-time
variations such as channel availability and/or assume perfect information
about the network. Instead, we develop a learning mechanism for a PU to
enable CSS in a strongly incomplete information scenario with low
computational overhead. Our mechanism is based on a Markovian variant of
multi-armed bandits (MABs) called superprocess, enhanced with the concept
of Upper Confidence Bound (UCB) from stochastic MABs. By means of Monte-
Carlo evaluations we show that, despite its low computational overhead, it
converges to a low regret solution outperforming baseline approaches such as
epsilon-greedy. This algorithm can be extended to include more sophisticated
features while maintaining its desirable properties such as low computational
overhead and fast speed of convergence.
CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249)
MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com
Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com
CONCLUSION
We have proposed a spectrum trading mechanism in Cooperative Spectrum
Sharing (CSS) allowing a primary transmitter (PT) to efficiently learn its most
profitable action while maximizing its reward, defined as accumulated
throughput. The learning strategy is based on a nested scheme that exploits
the problem structure, and is capable of effectively handling an otherwise
intractable problem, making use of Multi-Armed Bandits (MABs). We have
focused on a scenario where the PT has no knowledge of the performance of
the SUs acting as relays, or about the offers they are willing to accept. Using
our proposed scheme, we developed two algorithms, MAB-MDP and Super-
UCB, that have been shown to be able to learn payoffmaximizing actions for
the PT with little communication or computation overhead. Our numerical
results indicate that, despite their simplicity, they significantly outperform the
classical exploration-exploitation ǫ-greedy algorithm, with Super-UCB
featuring a better overall performance. They are shown to be robust to
inaccuracies in the little information they need and to scale well when the size
of the problem increases, i.e., for more SUs and available offers. This work can
be the starting point to address more complex scenarios. We extended our
model to a more flexible bargaining scheme (MAB-multiMDP) and to a
scenario with more dynamic SUs (MAB-MAB). Considering the explosion of
MAB variants in the recent literature, interesting directions for future study
include: 1) how to exploit the spatial fading correlation across different SUs, 2)
extension of the algorithms to a multiple PT and multiple PR case, 3) inclusion
CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249)
MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com
Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com
of more dimensions to learning, such as learning the staying time of SUs in
the PT coverage area, 4) inclusion of more complex SU and PU strategic
behaviors, and 5) extension to different objectives such as energy efficiency of
the transmission and/or quality of service constraints.
REFERENCES
[1] T. M. Valletti, “Spectrum trading,” Telecommunications Policy, vol. 25, no.
10-11, pp. 655–670, Oct. 2001.
[2] E. A. Jorswieck, L. Badia, T. Fahldieck, E. Karipidis, and J. Luo, “Spectrum
sharing improves the network efficiency for cellular operators,” IEEE Commun.
Mag., vol. 52, no. 3, pp. 129–136, Dec. 2013.
[3] Q. Zhao and B. Sadler, “A survey of dynamic spectrum access,” IEEE Signal
Process. Mag., vol. 24, no. 3, pp. 79–89, May 2007.
[4] M. López-Martínez, J. J. Alcaraz, J. Vales-Alonso, and J. Garcia- Haro,
“Automated spectrum trading mechanisms: Understanding the big picture,”
Wireless Networks, vol. 21, no. 2, pp. 685–708, Jan. 2015.
[5] O. Simeone, I. Stanojev, S. Savazzi, U. Spagnolini, and R. Pickholtz,
“Spectrum leasing to cooperating secondary ad hoc networks,” IEEE J. Sel.
Areas Commun., vol. 26, no. 1, pp. 203–213, Jan. 2008.
[6] J. Zhang and Q. Zhang, “Stackelberg game for utility-based cooperative
cognitive radio networks,” in Proceedings of the 10th ACM International
CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249)
MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com
Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com
Symposium on Mobile Ad Hoc Networking and Computing, (MobiHoc), 2009,
pp. 23–31.
[7] G. Zhang, K. Yang, J. Song, and Y. Li, “Fair and efficient spectrum splitting
for unlicensed secondary users in cooperative cognitive radio networks,”
Wireless Personal Communications, vol. 71, no. 1, pp. 299–316, Aug. 2012.
[8] P. Auer, N. Cesa-Bianchi, and P. Fischer, “Finite-time analysis of the
multiarmed bandit problem,” Mach. Learn., vol. 47, no. 2-3, pp. 235–256, May
2002.
[9] X. Feng, G. Sun, X. Gan, F. Yang, and X. Tian, “Cooperative spectrum sharing
in cognitive radio networks: A distributed matching approach,” IEEE Trans.
Commun., vol. 62, no. 8, pp. 2651–2664, Aug. 2014.
[10] L. Duan, L. Gao, and J. Huang, “Cooperative spectrum sharing: A contract-
based approach,” IEEE Trans. Mobile Comput., vol. 13, no. 1, pp. 174–187, Jan.
2014.

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A SUPERPROCESS WITH UPPER CONFIDENCE BOUNDS FOR COOPERATIVE SPECTRUM SHARING

  • 1. CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249) MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com A SUPERPROCESS WITH UPPER CONFIDENCE BOUNDS FOR COOPERATIVE SPECTRUM SHARING ABSTRACT: Cooperative Spectrum Sharing (CSS) is an appealing approach for primary users (PUs) to share spectrum with secondary users (SUs) because it increases the transmission range or rate of the PUs. Most previous works are focused on developing complex algorithms which may not be fast enough for real-time variations such as channel availability and/or assume perfect information about the network. Instead, we develop a learning mechanism for a PU to enable CSS in a strongly incomplete information scenario with low computational overhead. Our mechanism is based on a Markovian variant of multi-armed bandits (MABs) called superprocess, enhanced with the concept of Upper Confidence Bound (UCB) from stochastic MABs. By means of Monte- Carlo evaluations we show that, despite its low computational overhead, it converges to a low regret solution outperforming baseline approaches such as epsilon-greedy. This algorithm can be extended to include more sophisticated features while maintaining its desirable properties such as low computational overhead and fast speed of convergence.
  • 2. CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249) MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com CONCLUSION We have proposed a spectrum trading mechanism in Cooperative Spectrum Sharing (CSS) allowing a primary transmitter (PT) to efficiently learn its most profitable action while maximizing its reward, defined as accumulated throughput. The learning strategy is based on a nested scheme that exploits the problem structure, and is capable of effectively handling an otherwise intractable problem, making use of Multi-Armed Bandits (MABs). We have focused on a scenario where the PT has no knowledge of the performance of the SUs acting as relays, or about the offers they are willing to accept. Using our proposed scheme, we developed two algorithms, MAB-MDP and Super- UCB, that have been shown to be able to learn payoffmaximizing actions for the PT with little communication or computation overhead. Our numerical results indicate that, despite their simplicity, they significantly outperform the classical exploration-exploitation ǫ-greedy algorithm, with Super-UCB featuring a better overall performance. They are shown to be robust to inaccuracies in the little information they need and to scale well when the size of the problem increases, i.e., for more SUs and available offers. This work can be the starting point to address more complex scenarios. We extended our model to a more flexible bargaining scheme (MAB-multiMDP) and to a scenario with more dynamic SUs (MAB-MAB). Considering the explosion of MAB variants in the recent literature, interesting directions for future study include: 1) how to exploit the spatial fading correlation across different SUs, 2) extension of the algorithms to a multiple PT and multiple PR case, 3) inclusion
  • 3. CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249) MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com of more dimensions to learning, such as learning the staying time of SUs in the PT coverage area, 4) inclusion of more complex SU and PU strategic behaviors, and 5) extension to different objectives such as energy efficiency of the transmission and/or quality of service constraints. REFERENCES [1] T. M. Valletti, “Spectrum trading,” Telecommunications Policy, vol. 25, no. 10-11, pp. 655–670, Oct. 2001. [2] E. A. Jorswieck, L. Badia, T. Fahldieck, E. Karipidis, and J. Luo, “Spectrum sharing improves the network efficiency for cellular operators,” IEEE Commun. Mag., vol. 52, no. 3, pp. 129–136, Dec. 2013. [3] Q. Zhao and B. Sadler, “A survey of dynamic spectrum access,” IEEE Signal Process. Mag., vol. 24, no. 3, pp. 79–89, May 2007. [4] M. López-Martínez, J. J. Alcaraz, J. Vales-Alonso, and J. Garcia- Haro, “Automated spectrum trading mechanisms: Understanding the big picture,” Wireless Networks, vol. 21, no. 2, pp. 685–708, Jan. 2015. [5] O. Simeone, I. Stanojev, S. Savazzi, U. Spagnolini, and R. Pickholtz, “Spectrum leasing to cooperating secondary ad hoc networks,” IEEE J. Sel. Areas Commun., vol. 26, no. 1, pp. 203–213, Jan. 2008. [6] J. Zhang and Q. Zhang, “Stackelberg game for utility-based cooperative cognitive radio networks,” in Proceedings of the 10th ACM International
  • 4. CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249) MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com Symposium on Mobile Ad Hoc Networking and Computing, (MobiHoc), 2009, pp. 23–31. [7] G. Zhang, K. Yang, J. Song, and Y. Li, “Fair and efficient spectrum splitting for unlicensed secondary users in cooperative cognitive radio networks,” Wireless Personal Communications, vol. 71, no. 1, pp. 299–316, Aug. 2012. [8] P. Auer, N. Cesa-Bianchi, and P. Fischer, “Finite-time analysis of the multiarmed bandit problem,” Mach. Learn., vol. 47, no. 2-3, pp. 235–256, May 2002. [9] X. Feng, G. Sun, X. Gan, F. Yang, and X. Tian, “Cooperative spectrum sharing in cognitive radio networks: A distributed matching approach,” IEEE Trans. Commun., vol. 62, no. 8, pp. 2651–2664, Aug. 2014. [10] L. Duan, L. Gao, and J. Huang, “Cooperative spectrum sharing: A contract- based approach,” IEEE Trans. Mobile Comput., vol. 13, no. 1, pp. 174–187, Jan. 2014.