Simulation and Modeling of Fading Gain of the Rayleigh Faded Wireless Communication Channel Using Autocorrelation Function and Doppler Spread

Ikram E  Khuda; Syed Zain  Mir; Mansoor  Ebrahim; Kamran  Raza

doi:10.6180/jase.201912_22(4).0005

Simulation and Modeling of Fading Gain of the Rayleigh Faded Wireless Communication Channel Using Autocorrelation Function and Doppler Spread

Ikram E Khuda This email address is being protected from spambots. You need JavaScript enabled to view it.¹, Syed Zain Mir¹, Mansoor Ebrahim¹ and Kamran Raza¹

¹Faculty of Engineering Sciences and Technology, Iqra University, Karachi

Received: May 27, 2019
Accepted: September 6, 2019
Publication Date: December 1, 2019

Download Citation: ||https://doi.org/10.6180/jase.201912_22(4).0005

ABSTRACT

The tenacity of this work is to have an enhanced understanding of a time varying Rayleigh faded wireless channel by simulating and modeling the fading channel gain and its autocorrelation function with consideration of Doppler spread. Methods proposed here will enable the reader to model, simulate and understand the behavior and characteristics of fading channel, characterized by Rayleigh distributions and a spread in Doppler spectrum using Clarke’s model. Simulations are performed using two methods (1) filter method and (2) spectrum method. They are then qualitatively compared using the autocorrelation function (ACF) and power spectral density (PSD).

Keywords: Time Varying Rayleigh Faded Channel, Modeling, Simulation, Filter, Spectrum, Autocorrelation (ACF).

REFERENCES

[1] Hidén Rudander, J., E. Ikram, I. Khuda, P. S. Kildal, and C. Orlenius (2011) Measurements of RFID tag sensitivity in reverberation chamber, IEEE Antennas and Wireless Propagation Letters 10.
[2] Sachdeva, N., and D. Sharma (2012) Diversity: a fading reduction technique, International Journal of Advanced Research in Computer Science and Software Engineering 2(6), 58_61.
[3] Xu, L. W., H. Zhang, T. T. Lu, X. Liu, and Z. Q. Wei (2015) Performance analysis of the mobile-relay-based M2M communication over N-Nakagami fading channels, Tamkang University of Science and Technology 18(3), 309_314. doi: 10.6180/jase.2015.18.3.12
[4] Tanghe, E., W. Joseph, L. Verloock, L. Martens, H. Capoen, K. Van Herwegen, and W. Vantomme (2008) The industrial indoor channel: large-scale and temporal fading at 900, 2400, and 5200 MHz, IEEE Transactions on Wireless Communications 7(7), 2740_2751. doi: 10.1109/TWC.2008.070143
[5] Rontogiannis, A. A., V. Kekatos, and K. Berberidis (2006) Asquare-root adaptiveV-BLAST algorithm for fast time-varying MIMO channels, 2006 IEEE International Conference on Communications, IEEE 7, 3135_3139. doi: 10.1109/ICC.2006.255287
[6] Yen, R. Y., H. Y. Liu, and C. H. Yih (2012) Analysis of correlation between ICI and desired carrier power in OFDM systems over frequency-selective ricean fading channels under the influence of Doppler spread, Tamkang University of Science and Technology 15(2), 149_156. doi: 10.6180/jase.2012.15.2.08
[7] Li, J., A. Bose, and Y. Q. Zhao (2005) Rayleigh flat fading channels’ capacity, 3rd Annual Communication Networks and Services Research Conference (CNSR’05) IEEE, 214_217. doi: 10.1109/CNSR.2005.52
[8] Luo, X., and X. Zhang (2016) Flexible pilot contamination mitigation with Doppler PSD alignment, IEEE Signal Processing Letters 23(10), 1449_1453. doi: 10.1109/LSP.2016.2601270
[9] Zhang, X., H. Zhu, and X. Luo (2018) MIDAR: massive MIMO based detection and ranging, 2018 IEEE Global Communications Conference (GLOBECOM) IEEE, 1_6. doi: 10.1109/GLOCOM.2018.8647986
[10] Cai, J.,W. Song, and Z. Li (2003) Doppler spread estimation for mobile OFDM systems in Rayleigh fading channels, IEEE Transactions on Consumer Electronics 49(4), 973_977. doi: 10.1109/TCE.2003.1261183
[11] Chavan,M. S., and S. R. Sawant (2011) Multipath fading channel modeling and performance comparison of wireless channelmodels, International Journal of Electronics and Communication Engineering 4(2), 189_203.
[12] Luo, Z., and F. Hu (2010) Simulation models for independent Rayleigh fading channels, 2010 Global Mobile Congress IEEE, 1_5. doi: 10.1109/GMC.2010.5634573
[13] Zheng, Y. R., and C. Xiao (2002) Improved models for the generation of multiple uncorrelated Rayleigh fading waveforms, IEEE Communications Letters 6(6), 256_258. doi: 10.1109/LCOMM.2002.1010873
[14] Yao, X.W.,W. L.Wang, and S. H. Yang (2012) Video streaming transmission: performance modelling over wireless local area networks under saturation condition, IET Communications 6(1), 13_21. doi: 10.1049/iet-com.2010.1013
[15] Mahajan, M., and D. B. Bhoyar (2011) Performance analysis of CDMAunder Rayleigh Rician and Nakagami fading channels, Thinkquest~2010, 316_319. Springer, New Delhi. doi: 10.1007/978-81-8489-989-4_60
[16] Khuda, I. E. (2017) Modeling and simulation of UWB wave propagation for early detection of breast tumors in cancer dielectric imaging systems, Engineering Journal 21(2), 237_251. doi: 10.4186/ej.2017.21.2.237
[17] Ziókowski, C., and J. M. Kelner (2016) Influence of receiver/transmitter motion direction on the correlational and spectral signal properties, 2016 10th European Conference on Antennas and Propagation (EuCAP) IEEE, 1_4. doi: 10.1109/EuCAP.2016.7481225
[18] Sklar, B. (1997) Rayleigh fading channels in mobile digital communication systems. I. Characterization, IEEE Communications Magazine 35(7), 90_100. doi:10.1109/35.601747
[19] Iqbal, R., T. D. Abhayapala, and T. A. Lamahewa (2009) Generalised clarke model for mobile-radio reception, IET Communications 3(4), 644_654. doi: 10.1049/iet-com.2008.0054
[20] Brillinger, D. R. (2012) Fourier Analysis of Stationary Processes, Selected Works of David Brillinger, 195_210, Springer, New York, NY. doi: 10.1007/978-1-4614-1344-8_13