Abstract
This paper focuses on the design of vector perturbation (VP) precoding for multiuser multiple-input–single-output (MU-MISO) downlink transmission under quantized channel side information (CSI). In particular, each receiver decomposes its downlink channel vector in forms of channel direction information (CDI) and channel magnitude information (CMI) for feedback to the transmitter. The CMI contribution is studied in two scenarios: i) perfect CMI available to the transmitter and ii) only CMI statistics known at the transmitter. Under these two scenarios, using the quantized CDI and quantization error statistics, the authors propose a unified approach to design the VP precoders that minimize the mean square error (MSE) between channel input and output. Closed-form expressions to the precoders are then derived. Bit-error-rate (BER) results indicate that the proposed VP precoder designs are less sensitive to quantization errors, and CMI availability offers significant performance improvements.
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