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In TDD reciprocity-based massive MIMO it is essential to be able to computethe downlink precoding matrix over all OFDM resource blocks within a smallfraction of the uplink-downlink slot duration. Early implementation of massiveMIMO are limited to the simple Conjugate Beamforming (ConjBF) precoding method,because of such computation latency limitation. However, it has been widelydemonstrated by theoretical analysis and system simulation that RegularizedZero-Forcing (RZF) precoding is generally much more effective than ConjBF for alarge but practical number of transmit antennas. In order to recover asignificant fraction of the gap between ConjBF and RZF and yet meeting the verystrict computation latency constraints, truncated polynomial expansion (TPE)methods have been proposed. In this paper we present a novel TPE method thatoutperforms all previously proposed methods in the general non-symmetric caseof users with arbitrary antenna correlation. In addition, the proposed methodis significantly simpler and more flexible than previously proposed methodsbased on deterministic equivalents and free probability in large random matrixtheory. We consider power allocation with our TPE approach, and show thatclassical system optimization problems such as min-sum power and max-min ratecan be easily solved. Furthermore, we provide a detailed computation latencyanalysis specifically targeted to a highly parallel FPGA hardware architecture.

Truncated Polynomial Expansion Downlink Precoders and Uplink Detectors for Massive MIMO