On the Effect of Correlation on the Capacity of Backscatter Communication Systems

We analyse the effect of correlation between the forward and backward links on the capacity of backscatter communication systems. To that aim, we obtain an analytical expression for the average capacity under a correlated Rayleigh product fading channel, as well as closed-form asymptotic expressions for the high and low signal-to-noise ratio (SNR) regimes. Our results show that correlation is indeed detrimental for a fixed target SNR; contrarily to the common belief, we also see that correlation can be actually beneficial in some instances when a fixed power budget is considered.

[1]  Yan Gao,et al.  Performance of Passive UHF RFID in Cascaded Correlated Generalized Rician Fading , 2016, IEEE Communications Letters.

[2]  A. M. Mathai,et al.  The H-Function: Theory and Applications , 2009 .

[3]  Sicheng Zou,et al.  Performance Analysis of Passive UHF RFID Systems Under Cascaded Fading Channels and Interference Effects , 2015, IEEE Transactions on Wireless Communications.

[4]  G.D. Durgin,et al.  Gains For RF Tags Using Multiple Antennas , 2008, IEEE Transactions on Antennas and Propagation.

[5]  Z. Jane Wang,et al.  Impact of the correlation between forward and backscatter channels on RFID system performance , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[6]  K. Witrisal,et al.  Wideband Characterization of Backscatter Channels: Derivations and Theoretical Background , 2012, IEEE Transactions on Antennas and Propagation.

[7]  H. Stockman,et al.  Communication by Means of Reflected Power , 1948, Proceedings of the IRE.

[8]  Mohamed-Slim Alouini,et al.  A Unified MGF-Based Capacity Analysis of Diversity Combiners over Generalized Fading Channels , 2010, IEEE Transactions on Communications.

[9]  Gregory D. Durgin,et al.  Link Envelope Correlation in the Backscatter Channel , 2007, IEEE Communications Letters.

[10]  Gregory D. Durgin,et al.  A Theoretical Channel Model for Spatial Fading in Retrodirective Backscatter Channels , 2019, IEEE Transactions on Wireless Communications.

[11]  M. Simon.  Probability distributions involving Gaussian random variables : a handbook for engineers and scientists , 2002 .

[12]  Hirley Alves,et al.  On the statistics of the ratio of nonconstrained arbitrary α‐μ random variables: A general framework and applications , 2019, Trans. Emerg. Telecommun. Technol..

[13]  George K. Karagiannidis,et al.  Backscatter Communications Over Correlated Nakagami- $m$ Fading Channels , 2019, IEEE Transactions on Communications.

[14]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[15]  Gregory D Durgin,et al.  Multipath Fading Measurements at 5.8 GHz for Backscatter Tags With Multiple Antennas , 2010, IEEE Transactions on Antennas and Propagation.

[16]  P. W. Karlsson,et al.  Multiple Gaussian hypergeometric series , 1985 .