Beamforming estimation

A user equipment (UE) configured for beamforming estimation in a massive multiple input multiple output (mMIMO) radio access network (RAN) (mMIMO-RAN), comprising:

• a transceiver configured to receive a downlink (DL) signal having a precoded message from a base station (BS);
• and
• a processing device configured to:
• send, at the UE, a channel estimate for the UE;
• generate, at the UE, a decoder by:
• initializing the decoder using the channel estimate, and
• adjusting the decoder to decode the precoded message,
• wherein the precoded message was precoded based on an antenna power constraint;
• decode, at the UE, the precoded message using the decoder.

A computer-readable storage medium including computer executable instructions that, when executed by one or more processors, cause a base station (BS) in a massive multiple input multiple output (mMIMO) radio access network (RAN) (mMIMO-RAN) to:

• initialize a precoder using zero-forcing based on a channel estimate;
• adjust the precoder based on jointly maximizing the signal with respect to noise and minimizing an interference with respect to the noise;
• adjust the precoder based on a power constraint using minimum mean square error (MMSE);
• and
• generate the precoder for precoding a downlink signal for transmission from the BS to a user equipment (UE).