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Gauss ve Laplace Gürültülü Kanallar Arasında Optimal Anahtarlama

Year 2020, Volume: 11 Issue: 3, 1055 - 1060, 30.09.2020
https://doi.org/10.24012/dumf.767658

Abstract

Bu çalışmada, verici ve alıcı arasında Gauss ve Laplace haberleşme kanalları bulunan ikili iletişim sistemleri çalışılmaktadır. Ortalama güç kısıtlaması altında, ortalama hata olasılığını en küçülten stratejinin araştırılması amaçlanmaktadır. Öncelikle, optimal stratejinin sunulan eniyileme probleminin çözümü şeklinde olduğu gösterilmektedir. Daha sonra, kanal anahtarlamanın sistem performansını ortalama hata olasılığı açısından iyileştiremeyeceği koşul elde edilmektedir. Bu durumda, optimal çözümün herhangi güç kısıtlaması altında Gauss kanalı üzerinden iletim şeklinde olduğu gösterilmektedir. Koşulun sağlanmadığı durumda ise optimal strateji, eniyileme probleminin çözümü ile belirlenmektedir. Son olarak, kuramsal sonuçları doğrulamak amacıyla sayısal örnekler sunulmaktadır.

References

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  • S. Loyka, V. Kostina, and F. Gagnon, “Error rates of the maximumlikelihood detector for arbitrary constellations: Convex/concave behavior and applications,” IEEE Trans. Information Theory, vol. 56, no. 4, pp. 1948–1960, April 2010.
  • B. Dulek and S. Gezici, “Detector randomization and stochastic signaling for minimum probability of error receivers,” IEEE Trans. Commun., vol. 60, no. 4, pp. 923–928, Apr. 2012
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  • M. E. Tutay, S. Gezici, H. Soganci, and O. Arikan, “Optimal channel switching over Gaussian channels under average power and cost constraints,” IEEE Trans. Commun., vol. 63, pp. 1907–1922, May 2015.
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  • G. B. Thomas, M. D. Weir, J. Hass, and F. R. Giordano, Thomas’ Calculus. Addison Wesley, 11 ed., 2004.
Year 2020, Volume: 11 Issue: 3, 1055 - 1060, 30.09.2020
https://doi.org/10.24012/dumf.767658

Abstract

References

  • C¸. Goken, S. Gezici, O. Arıkan, “Optimal stochastic signaling for power-constrained binary communications systems”, IEEE Transactions on Wireless Communications, vol. 9, no. 12, pp. 3650-3661, Dec. 2010.
  • C¸. Goken, S. Gezici, O. Arıkan, “Stochastic signaling in the presence of channel state information uncertainty”, Digital Signal Processing, vol. 23, no. 2, pp. 635-645, Mar. 2013.
  • H. Chen, P. K. Varshney, S. M. Kay, and J. H. Michels, “Theory of the stochastic resonance effect in signal detection: Part I–Fixed detectors,” IEEE Trans. Sig. Processing, vol. 55, pp. 3172–3184, July 2007.
  • H. Chen, P. K. Varshney, S. M. Kay, and J. H. Michels, “Theory of the stochastic resonance effect in signal detection: Part II–Variable detectors,” IEEE Trans. Sig. Processing, vol. 56, no. 10, pp. 5031–5041, Oct. 2007.
  • S. Loyka, V. Kostina, and F. Gagnon, “Error rates of the maximumlikelihood detector for arbitrary constellations: Convex/concave behavior and applications,” IEEE Trans. Information Theory, vol. 56, no. 4, pp. 1948–1960, April 2010.
  • B. Dulek and S. Gezici, “Detector randomization and stochastic signaling for minimum probability of error receivers,” IEEE Trans. Commun., vol. 60, no. 4, pp. 923–928, Apr. 2012
  • M. E. Tutay, S. Gezici, and O. Arikan, “Optimal detector randomization for multiuser communications systems,” IEEE Trans. Commun., vol. 61, pp. 2876–2889, July 2013.
  • M. Azizoglu, “Convexity properties in binary detection problems,” IEEE Trans. Info. Theory, vol. 42, no. 4, pp. 1316-1321, July 1996
  • B. Dulek, M. E. Tutay, S. Gezici, and P. K. Varshney, “Optimal signaling and detector design for M-ary communication systems in the presence of multiple additive noise channels,” Digital Signal Processing, vol. 26, pp. 153–168, Mar. 2014.
  • M. E. Tutay, S. Gezici, H. Soganci, and O. Arikan, “Optimal channel switching over Gaussian channels under average power and cost constraints,” IEEE Trans. Commun., vol. 63, pp. 1907–1922, May 2015.
  • S. Verdu, Multiuser Detection. 1st ed. Cambridge, UK: Cambridge University Press, 1998.
  • H. V. Poor, An Introduction to Signal Detection and Estimation. New York: Springer-Verlag, 1994.
  • A. Leon-Garcia, Probability and Random Processes for Electrical Engineering. 2nd ed. Addison, Wesley, 1994. [14] J. G. Proakis and M. Salehi, Communication Systems Engineering, NJ, Englewood Cliffs:Prentice-Hall, 1994.
  • G. B. Thomas, M. D. Weir, J. Hass, and F. R. Giordano, Thomas’ Calculus. Addison Wesley, 11 ed., 2004.
There are 14 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Mehmet Emin Tutay

Publication Date September 30, 2020
Submission Date July 10, 2020
Published in Issue Year 2020 Volume: 11 Issue: 3

Cite

IEEE M. E. Tutay, “Gauss ve Laplace Gürültülü Kanallar Arasında Optimal Anahtarlama”, DUJE, vol. 11, no. 3, pp. 1055–1060, 2020, doi: 10.24012/dumf.767658.
DUJE tarafından yayınlanan tüm makaleler, Creative Commons Atıf 4.0 Uluslararası Lisansı ile lisanslanmıştır. Bu, orijinal eser ve kaynağın uygun şekilde belirtilmesi koşuluyla, herkesin eseri kopyalamasına, yeniden dağıtmasına, yeniden düzenlemesine, iletmesine ve uyarlamasına izin verir. 24456