MMSE precoder for massive MIMO using 1-bit quantization

We propose a novel linear minimum-mean-squared-error (MMSE) precoder design for a downlink (DL) massive multiple-input-multiple-output (MIMO) scenario. For economical and computational efficiency reasons low resolution 1-bit digital-to-analog (DAC) and analog-to-digital (ADC) converters are used. This comes at the cost of performance gain that can be recovered by the large number of antennas deployed at the base station (BS) and an appropriate pre-coder design to mitigate the distortions due to the coarse quantization. The proposed precoder takes the quantization non-linearities into account and is split into a digital precoder and an analog precoder. We formulate the two-stage precoding problem such that the MSE of the users is minimized under the 1-bit constraint. In the simulations, we compare the new optimized precoding scheme with previously proposed linear precoders in terms of uncoded bit error ratio (BER).

[1]  Nikos D. Sidiropoulos,et al.  Convex Optimization-Based Beamforming , 2010, IEEE Signal Processing Magazine.

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

[3]  Constantinos B. Papadias,et al.  Parasitic Antenna Arrays for Wireless MIMO Systems , 2013 .

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

[5]  John N. Tsitsiklis,et al.  Parallel and distributed computation , 1989 .

[6]  A. Lee Swindlehurst,et al.  A vector-perturbation technique for near-capacity multiantenna multiuser communication-part I: channel inversion and regularization , 2005, IEEE Transactions on Communications.

[7]  Erik G. Larsson,et al.  Scaling Up MIMO: Opportunities and Challenges with Very Large Arrays , 2012, IEEE Signal Process. Mag..

[8]  S. Andersson,et al.  On the power consumption of analog to digital converters , 2006, 2006 NORCHIP.

[9]  Josef A. Nossek,et al.  Transmit processing with low resolution D/A-converters , 2009, 2009 16th IEEE International Conference on Electronics, Circuits and Systems - (ICECS 2009).

[10]  Lajos Hanzo,et al.  Spatial Modulation for Generalized MIMO: Challenges, Opportunities, and Implementation , 2014, Proceedings of the IEEE.

[11]  Robert Price,et al.  A useful theorem for nonlinear devices having Gaussian inputs , 1958, IRE Trans. Inf. Theory.

[12]  Emil Björnson,et al.  Massive MIMO with Non-Ideal Arbitrary Arrays: Hardware Scaling Laws and Circuit-Aware Design , 2014, IEEE Transactions on Wireless Communications.

[13]  Ralf R. Müller,et al.  Load modulated massive MIMO , 2014, 2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP).