Energy Detection with Diversity Reception

Sanjeewa P. Herath; Nandana Rajatheva; Tho Le-Ngoc; Chintha Tellambura

doi:10.31130/jst.2017.34

Sanjeewa P. Herath Huawei Technologies Canada Co. Ltd
Nandana Rajatheva The Centre forWireless Communications, University of Oulu, Finland
Tho Le-Ngoc The Department of Electrical and Computer Engineering, McGill University
Chintha Tellambura The Department of Electrical and Computer Engineering, University of Alberta

DOI: https://doi.org/10.31130/jst.2017.34

Abstract

We characterize the performance of energy detector (ED) over square-law, square-law selection, and switch-and-stay diversity combining schemes. The exact average probabilities of a miss (Pm), and a false alarm (Pf) are derived in closed-form. To derive Pm for versatile Nakagami-m and Rician fading channels, a twofold approach, using the probability density function (PDF) and the moment generating function (MGF), is applied. Using the PDF method, the achievable diversity order over the Nakagami-m channel is derived. However, this method becomes intractable when analyzing Pm of the aforementioned combiners in Rician channels, but the MGF method can handle this case. Our analysis helps to quantify the performance gains of ED due to diversity reception. Theoretical derivations are verified through numerical Monte-Carlo simulation results.

Downloads

Download data is not yet available.

References

[1] A. D’Amico, U. Mengali, and E. Arias-de Reyna, “Energydetection UWB receivers with multiple energy measure-ments,” IEEE Trans. Wireless Commun., vol. 6, no. 7, pp. 2652–2659, Jul. 2007.
[2] A. Rabbachin, T. Quek, P. Pinto, I. Oppermann, and M. Win, “UWB energy detection in the presence of multiple narrowband interferers,” in IEEE Int. Conf. on Ultra-Wideband (ICUWB), Sep. 2007, pp. 857–862.
[3] C. Cordeiro, K. Challapali, D. Birru, S. Shankar et al., “IEEE 802.22: An introduction to the first wireless standard based on cognitive radios,” Journal of Commun., vol. 1, no. 1, pp. 38–47, Apr. 2006.
[4] S. Atapattu, C. Tellambura, and H. Jiang, Energy detection for spectrum sensing in cognitive radio. Springer Berlin, 2014.
[5] S. Atapattu, C. Tellambura, H. Jiang, and N. Rajatheva, “Unified analysis of low-SNR energy detection and threshold selection,” IEEE Trans. Veh. Technol., vol. 64, no. 11, pp. 5006–5019, 2015.
[6] P. C. Sofotasios, L. Mohjazi, S. Muhaidat, M. Al-Qutayri, and G. K. Karagiannidis, “Energy detection of unknown signals over cascaded fading channels,” IEEE Antennas and Wireless Propagation Lett., vol. 15, pp. 135–138, 2016.
[7] V. R. S. Banjade, C. Tellambura, and H. Jiang, “Asymptotic performance of energy detector in fading and diversity reception,” IEEE Trans. Wireless Commun., vol. 63, no. 6, pp. 2031–2043, Jun. 2015.
[8] K. P. Peppas, G. Efthymoglou, V. A. Aalo, M. Alwakeel, and S. Alwakeel, “Energy detection of unknown signals in gamma-shadowed rician fading environments with diversity reception,” IET Commun., vol. 9, no. 2, pp. 196–210, 2015.
[9] O. Alhussein, A. A. Hammadi, P. C. Sofotasios, S. Muhaidat, J. Liang, M. Al-Qutayri, and G. K. Karagiannidis, “Perfor-mance analysis of energy detection over mixture gamma based fading channels with diversity reception,” in Wireless and Mobile Computing, Networking and Commun. (WiMob), Oct. 2015, pp. 399–405.
[10] S. Atapattu, C. Tellambura, H. Jiang, and N. Rajatheva, “Unified analysis of low-SNR energy detection and threshold selection,” IEEE Trans. Veh. Technol., vol. 64, no. 11, pp. 5006–5019, Nov. 2015.
[11] K. P. Peppas, G. Efthymoglou, V. A. Aalo, M. Alwakeel, and S. Alwakeel, “Energy detection of unknown signals in gamma-shadowed rician fading environments with diversity reception,” IET Commun., vol. 9, no. 2, pp. 196–210, 2015.
[12] Y. Liu, D. Yuan, M. Jiang, W. Fan, G. Jin, and F. Li, “Analysis of square-law combining for cognitive radios over Nakagami channels,” in IEEE Conf. on Wireless Commun., Networking and Mobile Computing (WiCom), Sep. 2009, pp. 1–4.
[13] A. Annamalai, O. Olabiyi, S. Alam, O. Odejide, and D. Vaman, “Unified analysis of energy detection of unknown signals over generalized fading channels,” in IEEE Wireless Commun. and Mobile Computing Conf. (IWCMC), Jul. 2011, pp. 636 –641.
[14] A. Pandharipande and J.-P. Linnartz, “Performance analysis of primary user detection in a multiple antenna cognitive radio,” in IEEE Int. Conf. on Commun. (ICC), Jun. 2007, pp. 6482–6486.
[15] S. Atapattu, C. Tellambura, and H. Jiang, “Performance of an energy detector over channels with both multipath fading and shadowing,” IEEE Trans. Wireless Commun., vol. 9, pp. 3662 – 3670, Dec. 2010.
[16] ——, “Analysis of area under the ROC curve of energy detection,” IEEE Trans. Wireless Commun., vol. 9, no. 3, pp. 1216 –1225, Mar. 2010.
[17] F. F. Digham, M.-S. Alouini, and M. K. Simon, “On the energy detection of unknown signals over fading channels,” IEEE Trans. on Commun., vol. 55, no. 1, pp. 21–24, Jan. 2007.
[18] ——, “On the energy detection of unknown signals over fading channels,” in IEEE Int. Conf. on Commun. (ICC), May 2003, pp. 3575–3579.
[19] S. P. Herath, N. Rajatheva, and C. Tellambura, “Energy detection of unknown signals in fading and diversity reception,”IEEE Trans. on Commun., vol. 59, no. 9, pp. 2443 –2453, Sep. 2011.
[20] S. Atapattu, C. Tellambura, and H. Jiang, “Energy detection of primary signals over - fading channels,” in IEEE Int. Conf. on Industrial and Information Systems (ICIIS). IEEE, 2009, pp. 118–122.
[21] A. Bagheri, P. C. Sofotasios, T. A. Tsiftsis, A. Shahzadi, and M. Valkama, “Spectrum sensing in generalized multipath fading conditions using square-law combining,” in IEEE Int. Conf. on Commun. (ICC), Jun. 2015, pp. 7528–7533.
[22] D. Horgan and C. Murphy, “Fast and accurate approximations for the analysis of energy detection in Nakagami-m channels,” IEEE Commun. Lett., vol. 17, no. 1, pp. 83–86, Jan. 2013.
[23] H. Urkowitz, “Energy detection of unknown deterministic signals,” Proceedings of the IEEE, vol. 55, no. 4, pp. 523–531, Apr. 1967.
[24] C. Tellambura, A. Annamalai, and V. Bhargava, “Closed form and infinite series solutions for the MGF of a dual-diversity selection combiner output in bivariate Nakagami fading,”IEEE Trans. on Commun., vol. 51, pp. 539–542, Apr. 2003.
[25] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed. Academic Press, Inc., 2000.
[26] J. Ma, G. Zhao, and Y. Li, “Soft combination and detection for cooperative spectrum sensing in cognitive radio networks,”IEEE Trans. Wireless Commun., vol. 7, pp. 4502–4507, Nov. 2008.
[27] M. K. Simon and M.-S. Alouini, Digital Communication over Fading Channels, 2nd ed. New York: Wiley, 2005.
[28] H. M. Srivastava and P. W. Karlsson, Multiple Gaussian Hypergeometric Series. Ellis Horwood, 1985.