Skip to main content
Springer Nature Link
Log in

Outage Capacity for Secondary Users Due to Bandwidth Fluctuations: Multicarrier Versus Single Carrier

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In this work we study the channel capacity from the point of view of a secondary user that shares the bandwidth of the channel with a primary user using dynamic spectrum access in cognitive radio.The secondary user sees bandwidth fluctuations (i.e, at any given time the bandwidth can be available or not) that impact its channel capacity. We study the outage capacity for the secondary user considering two scenarios in which the secondary user uses either a single carrier modulation for the case in which bandwidth fluctuates over the complete transmission band, and a multicarrier modulation for the case in which bandwidth fluctuations are over various transmission subbands. We derive expressions for the outage capacity of the secondary user for both single carrier and multicarrier. Results show that: (1) The outage capacity for single carrier can be higher than for multicarrier, but with a higher outage probability for single carrier than for multicarrier. In fact, a low value of outage probability for single carrier requires a duty cycle for the secondary user close to one, but this has the problem that it leaves a very short duty cycle for the primary user. (2) Although for the secondary user the outage capacity for multicarrier is smaller than for single carrier, for multicarrier lower values of the outage probability can be achieved even for short values of the duty cycle of the secondary user, allowing larger duty cycle values of the primary user. (3) For multicarrier, the outage capacity is more sensitive to changes in the duty cycle than to changes in the outage probability. To obtain a larger outage capacity with low values of both the outage probability and the duty cycle, it requires the use of a large number of subbands.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Notes

  1. In this analysis we will assume that \(b(t)\) can be estimated perfectly.

References

  1. Kumar, S., Sahay, J., Mishra, G. K., & Kumar, S. (2011). Cognitive radio concept and challenges in dynamic spectrum access for the future generation wireless communication systems. Wireless Personal Communications, 59, 525–535.

    Article  Google Scholar 

  2. Ren, P., Wang, Y., Du, Q., & Xu, J. (February 2012). A survey on dynamic spectrum access protocols for distributed cognitive wireless networks. EURASIP Journal on Wireless Communications and Networking, 2012(60), 1–21.

  3. Zhou, H., Liu, B., Gui, L., Ding, Y., Wu, J., & Wang, L. (2012). A novel dynamic spectrum management and sharing approach for the secondary networks. Communications in Computer and Information Science, 331, 333–340.

    Article  Google Scholar 

  4. Arslan, H., & Ycek, T. (2007). Spectrum sensing for cognitive radio applications. Cognitive Radio, Software Defined Radio, and Adaptive Wireless Systems, 263–289.

  5. Shannon, C. E., & Weaver, W. (1998). The mathematical theory of communication. Champaign, IL: University of Illinois Press.

    Google Scholar 

  6. Davenport, W. B., & Root, W. L. (1987). An introduction to the theory of random signals and noise (pp. 61–62). New York: IEEE Press.

  7. Papolulis, A. (1984). Probability, random variables, and stochastic process (pp. 392–393). Singapore: McGraw Hill.

  8. Fitzhugh, R. (1983). Statistical properties of the asymmetric random telegraph signal, with applications to single-channel analysis. Mathematical Biosciences, 64(1), 75–89.

    Article  MATH  MathSciNet  Google Scholar 

  9. Moinuddin, M., & Naseem, I. (2013). A simple approach to evaluate the ergodic capacity and outage probability of correlated Rayleigh diversity channels with unequal signal-to-noise ratios. EURASIP Journal on Wireless Communications and Networking, 2013(20), 1–7.

    Google Scholar 

  10. Choudhury, S., & Gibson, J. D. (Jan 2007). Ergodic capacity, outage capacity, and information transmission over rayleigh fading channels. In Proceedings of information theory and applications workshop (pp. 1–5).

  11. Muler, C., & Mittelbach, M. (May 2008). Discrete-time frequency-selective rayleigh fading channel—impact of correlated scattering on outage and ergodic capacity. In Proceedings of ICC Conference (pp. 1–8).

Download references

Author information

Authors and Affiliations

  1. Academic Division of Engineering, ITAM, C.P. 01000 , México City, D.F., Mexico

    Fernando Ramírez-Mireles

Authors
  1. Fernando Ramírez-Mireles
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fernando Ramírez-Mireles.

Additional information

This research was supported in part by Conacyt, ITAM and Asociación Mexicana de Cultura A.C.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ramírez-Mireles, F. Outage Capacity for Secondary Users Due to Bandwidth Fluctuations: Multicarrier Versus Single Carrier. Wireless Pers Commun 78, 915–925 (2014). https://doi.org/10.1007/s11277-014-1792-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-014-1792-1

Keywords