Closed-form approximation of the capacity in multi-sector cells: application to LTE tri-sector antenna

This paper deals with the ergodic capacity in multi-sector cells. Due to the presence of the antenna gain pattern in the expression of the capacity, the latter may be difficult to express analytically. In order to overcome this problem, we propose to approximate the antenna gain pattern by means of a piecewise linear function, which leads to a general closed-form formulation of the capacity. The obtained expression is applicable for any used antenna. The simulations results are performed by using the long term evolution (LTE) TR 36.942 antenna specification, showing that the proposed closed-form capacity almost matches the exact one. In addition, we provide a practical use case of the method, by considering a scenario where the users are clustered within the area covered by the antenna.

[1]  Hyundong Shin,et al.  Closed-form formulas for ergodic capacity of MIMO Rayleigh fading channels , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[2]  Markus Rupp,et al.  The Vienna LTE simulators - Enabling reproducibility in wireless communications research , 2011, EURASIP J. Adv. Signal Process..

[3]  Jerry D. Gibson,et al.  Ergodic capacity , outage capacity , and information transmission over Rayleigh fading channels , 2007 .

[4]  Mérouane Debbah,et al.  Preliminary Results on 3D Channel Modeling: From Theory to Standardization , 2013, IEEE Journal on Selected Areas in Communications.

[5]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[6]  Sonia Aïssa,et al.  Capacity and power allocation for spectrum-sharing communications in fading channels , 2009, IEEE Transactions on Wireless Communications.

[7]  Markus Rupp,et al.  The Vienna LTE-Advanced Simulators , 2016 .

[8]  Hiroyuki Seki,et al.  Capacity enhancement in quad-sector cell architecture with interleaved channel and polarization assignments , 2001, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240).

[9]  Ying-Chang Liang,et al.  Optimal power allocation for fading channels in cognitive radio networks: Ergodic capacity and outage capacity , 2008, IEEE Transactions on Wireless Communications.

[10]  Kin K. Leung,et al.  A high-capacity wireless network by quad-sector cell and interleaved channel assignment , 2000, IEEE Journal on Selected Areas in Communications.

[11]  Xiang Cheng,et al.  Three-dimensional fading channel models: A survey of elevation angle research , 2014, IEEE Communications Magazine.

[12]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[13]  Cumhur Erkut,et al.  Real-Time Recognition of Percussive Sounds by a Model-Based Method , 2011, EURASIP J. Adv. Signal Process..

[14]  Chintha Tellambura,et al.  Optimal Bandwidth and Power Allocation for Sum Ergodic Capacity Under Fading Channels in Cognitive Radio Networks , 2010, IEEE Transactions on Signal Processing.

[15]  Michail Matthaiou,et al.  A New Lower Bound on the Ergodic Capacity of Distributed MIMO Systems , 2011, IEEE Signal Processing Letters.

[16]  Kin K. Leung,et al.  Performance enhancement by narrow-beam quad-sector cell and interleaved channel assignment in wireless networks , 1999, Seamless Interconnection for Universal Services. Global Telecommunications Conference. GLOBECOM'99. (Cat. No.99CH37042).