BEACHES: Beamspace Channel Estimation for Multi-Antenna mmWave Systems and Beyond

Massive multi-antenna millimeter wave (mmWave) and terahertz wireless systems promise high-bandwidth communication to multiple user equipments in the same time-frequency resource. The high path loss of wave propagation at such frequencies and the fine-grained nature of beamforming with massive antenna arrays necessitates accurate channel estimation to fully exploit the advantages of such systems. In this paper, we propose BEAmspace CHannel EStimation (BEACHES), a low-complexity channel estimation algorithm for multi-antenna mmWave systems and beyond. BEACHES leverages the fact that wave propagation at high frequencies is directional, which enables us to denoise the (approximately) sparse channel state information in the beamspace domain. To avoid tedious parameter selection, BEACHES includes a computationally-efficient tuning stage that provably minimizes the mean-square error of the channel estimate in the large-antenna limit. To demonstrate the efficacy of BEACHES, we provide simulation results for line-of-sight (LoS) and non-LoS mmWave channel models.

[1]  Theodore S. Rappaport,et al.  Millimeter Wave Wireless Communications , 2014 .

[2]  R. Tibshirani Regression Shrinkage and Selection via the Lasso , 1996 .

[3]  Junho Lee,et al.  Channel Estimation via Orthogonal Matching Pursuit for Hybrid MIMO Systems in Millimeter Wave Communications , 2016, IEEE Transactions on Communications.

[4]  Richard G. Baraniuk,et al.  Parameterless Optimal Approximate Message Passing , 2013, ArXiv.

[5]  Akbar M. Sayeed,et al.  Channel estimation and precoder design for millimeter-wave communications: The sparse way , 2014, 2014 48th Asilomar Conference on Signals, Systems and Computers.

[6]  Akbar M. Sayeed,et al.  Beamspace MIMO for Millimeter-Wave Communications: System Architecture, Modeling, Analysis, and Measurements , 2013, IEEE Transactions on Antennas and Propagation.

[7]  Erik G. Larsson,et al.  Massive MIMO for next generation wireless systems , 2013, IEEE Communications Magazine.

[8]  Richard G. Baraniuk,et al.  Consistent Parameter Estimation for LASSO and Approximate Message Passing , 2015, The Annals of Statistics.

[9]  Sven Jacobsson,et al.  Throughput Analysis of Massive MIMO Uplink With Low-Resolution ADCs , 2016, IEEE Transactions on Wireless Communications.

[10]  Robert W. Heath,et al.  Limited Feedback Hybrid Precoding for Multi-User Millimeter Wave Systems , 2014, IEEE Transactions on Wireless Communications.

[11]  I. Johnstone,et al.  Adapting to Unknown Smoothness via Wavelet Shrinkage , 1995 .

[12]  Olav Tirkkonen,et al.  MmWave channel estimation via atomic norm minimization for multi-user hybrid precoding , 2018, 2018 IEEE Wireless Communications and Networking Conference (WCNC).

[13]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[14]  Parikshit Shah,et al.  Compressed Sensing Off the Grid , 2012, IEEE Transactions on Information Theory.

[15]  Theodore S. Rappaport,et al.  Millimeter Wave Mobile Communications for 5G Cellular: It Will Work! , 2013, IEEE Access.

[16]  Theodore S. Rappaport,et al.  Millimeter Wave Channel Modeling and Cellular Capacity Evaluation , 2013, IEEE Journal on Selected Areas in Communications.

[17]  Upamanyu Madhow,et al.  Newtonized Orthogonal Matching Pursuit: Frequency Estimation Over the Continuum , 2015, IEEE Transactions on Signal Processing.

[18]  Richard G. Baraniuk,et al.  Asymptotic Analysis of Complex LASSO via Complex Approximate Message Passing (CAMP) , 2011, IEEE Transactions on Information Theory.

[19]  Robert W. Heath,et al.  Channel Estimation and Hybrid Precoding for Millimeter Wave Cellular Systems , 2014, IEEE Journal of Selected Topics in Signal Processing.

[20]  Gongguo Tang,et al.  Atomic Norm Denoising With Applications to Line Spectral Estimation , 2012, IEEE Transactions on Signal Processing.

[21]  Theodore S. Rappaport,et al.  Wideband Millimeter-Wave Propagation Measurements and Channel Models for Future Wireless Communication System Design , 2015, IEEE Transactions on Communications.