A Data-Aided Channel Estimation Scheme for Decoupled Systems in Heterogeneous Networks

Uplink/downlink (UL/DL) decoupling promises more flexible cell association and higher throughput in heterogeneous networks (HetNets), however, it hampers the acquisition of DL channel state information (CSI) in time-division-duplex systems due to different base stations (BSs) connected in UL/DL. In this paper, we propose a novel data-aided (DA) channel estimation scheme to address this problem by utilizing decoded UL data to exploit CSI from received UL data signal in decoupled HetNets where a massive multiple-input multiple-output BS and dense small cell BSs are deployed. We analytically estimate bit error ratio (BER) performance of UL decoded data, which are used to derive an approximated normalized mean square error (NMSE) expression of the DA minimum mean square error (MMSE) estimator. Compared with the conventional least square and MMSE, it is shown that NMSE performances of all estimators are determined by their signal-to-noise ratio (SNR)-like terms and there is an increment consisting of UL data power, UL data length, and BER values in the SNR-like term of DA method, which suggests DA method outperforms the conventional ones in any scenarios. Higher UL data power, longer UL data length, and better BER performance lead to more accurate estimated channels with DA method. Numerical results verify that the analytical BER and NMSE results are close to the simulated ones and a remarkable gain in both NMSE and DL rate can be achieved by DA method in multiple scenarios with different modulations.

[1]  R. Durrett Probability: Theory and Examples , 1993 .

[2]  Xiqi Gao,et al.  Cellular architecture and key technologies for 5G wireless communication networks , 2014, IEEE Communications Magazine.

[3]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

[4]  Chenyang Yang,et al.  Massive MIMO or small cell network: Who is more energy efficient? , 2013, 2013 IEEE Wireless Communications and Networking Conference Workshops (WCNCW).

[5]  Nihar Jindal,et al.  What is the value of joint processing of pilots and data in block-fading channels? , 2009, 2009 IEEE International Symposium on Information Theory.

[6]  Jakob Hoydis,et al.  Asymptotic performance of linear receivers in network MIMO , 2010, 2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers.

[7]  Federico Boccardi,et al.  Load & backhaul aware decoupled downlink/uplink access in 5G systems , 2014, 2015 IEEE International Conference on Communications (ICC).

[8]  Jeffrey G. Andrews,et al.  Why to decouple the uplink and downlink in cellular networks and how to do it , 2015, IEEE Communications Magazine.

[9]  Liljana Gavrilovska,et al.  Efficiency analysis of downlink and uplink decoupling in heterogeneous networks , 2015, 2015 IEEE International Conference on Communication Workshop (ICCW).

[10]  J. W. Silverstein,et al.  Spectral Analysis of Large Dimensional Random Matrices , 2009 .

[11]  Emil Björnson,et al.  Massive MIMO and small cells: Improving energy efficiency by optimal soft-cell coordination , 2013, ICT 2013.

[12]  Mark C. Reed,et al.  Iterative Turbo Channel Estimation for OFDM System over Rapid Dispersive Fading Channel , 2007, 2007 IEEE International Conference on Communications.

[13]  Z. Bai,et al.  CLT for linear spectral statistics of large dimensional sample covariance matrices with dependent data , 2017, Statistical Papers.

[14]  John M. Cioffi,et al.  On the distribution of SINR for the MMSE MIMO receiver and performance analysis , 2006, IEEE Transactions on Information Theory.

[15]  A. Lozano,et al.  What Will 5 G Be ? , 2014 .

[16]  Jeffrey G. Andrews,et al.  Heterogeneous Cellular Networks with Flexible Cell Association: A Comprehensive Downlink SINR Analysis , 2011, IEEE Transactions on Wireless Communications.

[17]  Peter A. Hoeher,et al.  Iterative Pilot-Layer Aided Channel Estimation with Emphasis on Interleave-Division Multiple Access Systems , 2006, EURASIP J. Adv. Signal Process..

[18]  Jeffrey G. Andrews,et al.  Joint Rate and SINR Coverage Analysis for Decoupled Uplink-Downlink Biased Cell Associations in HetNets , 2014, IEEE Transactions on Wireless Communications.

[19]  Mérouane Debbah,et al.  Making smart use of excess antennas: Massive MIMO, small cells, and TDD , 2013, Bell Labs Technical Journal.

[20]  Thomas L. Marzetta,et al.  Noncooperative Cellular Wireless with Unlimited Numbers of Base Station Antennas , 2010, IEEE Transactions on Wireless Communications.

[21]  Peng Wang,et al.  Performance Impact of LoS and NLoS Transmissions in Dense Cellular Networks , 2015, IEEE Transactions on Wireless Communications.

[22]  Mikael Coldrey,et al.  Training-Based MIMO Systems: Part II—Improvements Using Detected Symbol Information , 2008, IEEE Transactions on Signal Processing.

[23]  M. V. Clark,et al.  Theoretical reliability of MMSE linear diversity combining in Rayleigh-fading additive interference channels , 1998, IEEE Trans. Commun..

[24]  Liljana Gavrilovska,et al.  Analysis of the Decoupled Access for Downlink and Uplink in Wireless Heterogeneous Networks , 2014, IEEE Wireless Communications Letters.

[25]  Jeffrey G. Andrews,et al.  What Will 5G Be? , 2014, IEEE Journal on Selected Areas in Communications.

[26]  David Gesbert,et al.  A Coordinated Approach to Channel Estimation in Large-Scale Multiple-Antenna Systems , 2012, IEEE Journal on Selected Areas in Communications.

[27]  Babak Hassibi,et al.  How much training is needed in multiple-antenna wireless links? , 2003, IEEE Trans. Inf. Theory.

[28]  Nihar Jindal,et al.  A Unified Treatment of Optimum Pilot Overhead in Multipath Fading Channels , 2010, IEEE Transactions on Communications.

[29]  Jean-François Hélard,et al.  Data-aided channel estimation for turbo-PIC MIMO detectors , 2006, IEEE Communications Letters.

[30]  Robert W. Heath,et al.  Five disruptive technology directions for 5G , 2013, IEEE Communications Magazine.

[31]  Jeffrey G. Andrews,et al.  Seven ways that HetNets are a cellular paradigm shift , 2013, IEEE Communications Magazine.

[32]  Erik G. Larsson,et al.  Energy and Spectral Efficiency of Very Large Multiuser MIMO Systems , 2011, IEEE Transactions on Communications.

[33]  Geoffrey Ye Li,et al.  An Overview of Massive MIMO: Benefits and Challenges , 2014, IEEE Journal of Selected Topics in Signal Processing.

[34]  Giuseppe Caire,et al.  Massive-MIMO Meets HetNet: Interference Coordination Through Spatial Blanking , 2014, IEEE Journal on Selected Areas in Communications.

[35]  J. W. Silverstein Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices , 1995 .

[36]  Li Ping,et al.  Data-Aided Channel Estimation in Large Antenna Systems , 2014, IEEE Transactions on Signal Processing.

[37]  Federico Boccardi,et al.  Downlink and Uplink Decoupling: A disruptive architectural design for 5G networks , 2014, 2014 IEEE Global Communications Conference.