Massive Mimo Channel Estimation with 1-Bit Spatial Sigma-delta ADCS

We consider channel estimation for an uplink massive multiple input multiple output (MIMO) system where the base station (BS) uses a first-order spatial Sigma-Delta (Σ△) analogto-digital converter (ADC) array. The Σ△ array consists of closely spaced sensors which oversample the received signal and provide a coarsely quantized (1-bit) output. We develop a linear minimum mean squared error (LMMSE) estimator based on the Bussgang decomposition that reformulates the nonlinear quantizer model using an equivalent linear model plus quantization noise. The performance of the proposed Σ△ LMMSE estimator is compared via simulation to channel estimation using standard 1-bit quantization and also infinite resolution ADCs.

[1]  Ali Bulut Üçüncü,et al.  Oversampling in One-Bit Quantized Massive MIMO Systems and Performance Analysis , 2018, IEEE Transactions on Wireless Communications.

[2]  Cheng Tao,et al.  Channel Estimation and Performance Analysis of One-Bit Massive MIMO Systems , 2016, IEEE Transactions on Signal Processing.

[3]  Timothy A. Thomas,et al.  Millimeter Wave Receiver Design Using Low Precision Quantization and Parallel $\Delta \Sigma $ Architecture , 2016, IEEE Transactions on Wireless Communications.

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

[5]  Alle-Jan van der Veen,et al.  Multichannel � ADCs With Integrated Feedback Beamformers to Cancel Interfering Communication Signals , 2011 .

[6]  Emil Björnson,et al.  Spatio-Temporal Waveform Design for Multiuser Massive MIMO Downlink With 1-bit Receivers , 2016, IEEE Journal of Selected Topics in Signal Processing.

[7]  Ryan M. Corey,et al.  Spatial Sigma-Delta Signal Acquisition for Wideband Beamforming Arrays , 2016, WSA.

[8]  Josef A. Nossek,et al.  A Comparison of Hybrid Beamforming and Digital Beamforming With Low-Resolution ADCs for Multiple Users and Imperfect CSI , 2017, IEEE Journal of Selected Topics in Signal Processing.

[9]  Erik G. Larsson,et al.  Uplink Performance of Wideband Massive MIMO With One-Bit ADCs , 2016, IEEE Transactions on Wireless Communications.

[10]  Leonid Belostotski,et al.  Low-complexity N-port ADCs using 2-D Δ-Σ noise-shaping for N-element array receivers , 2017, 2017 IEEE 60th International Midwest Symposium on Circuits and Systems (MWSCAS).

[11]  Emil Lindqvist,et al.  Spatial Sigma-Delta Modulation in a Massive MIMO Cellular System , 2016 .

[12]  G. W. Wornell,et al.  This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication. 1 Dense Delta-Sigma Phased Arrays , 2022 .

[13]  Soumyajit Mandal,et al.  Improving ADC figure-of-merit in wideband antenna array receivers using multidimensional space-time delta-sigma multiport circuits , 2017, 2017 10th International Workshop on Multidimensional (nD) Systems (nDS).

[14]  Robert W. Heath,et al.  Near Maximum-Likelihood Detector and Channel Estimator for Uplink Multiuser Massive MIMO Systems With One-Bit ADCs , 2015, IEEE Transactions on Communications.

[15]  Gerhard Fettweis,et al.  Bounds on Channel Parameter Estimation with 1-Bit Quantization and Oversampling , 2018, 2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).