Methods of forming a beam to a wireless terminal from a transmitter including an antenna having a plurality of antenna feed elements include generating channel estimates at the wireless terminal, obtaining channel phase information from the channel estimates, quantizing the channel phase information to obtain quantized channel phase values, and transmitting the quantized channel phase values to the transmitter. The methods may further include receiving the quantized channel phase values at the transmitter, obtaining channel gain estimates, constructing channel estimates using the quantized channel phase values and the channel gain estimates, and determining transmit beamforming weights in response to the channel estimates. Related transmitters, wireless terminals, and communications systems are also disclosed.