Quantization of channel state information in multiple antenna systems

A receiving device, configured for wireless reception, the receiving device comprising:

• receiver circuitry and processor circuitry configured to receive a signal and determine a precoding matrix associated with a codebook for at least one subcarrier;
• transmitter circuitry configured to transmit a first index value and a second index value, wherein the precoding matrix is determinable by using both the first index value and the second index value;
• and
• the receiver circuitry further configured to receive a precoded signal using a plurality of antennas based on the first index value and second index value.

A transmitting device, configured for wireless transmitting, the transmitting device comprising:

• transmitter circuitry configured to transmit a signal for determining a precoding matrix associated with a codebook for at least one subcarrier;
• receiver circuitry configured to receive a first index value and a second index value, wherein the precoding matrix is determinable by using both the first index value and the second index value;
• and
• the transmitter circuitry further configured to transmit a precoded signal using a plurality of antennas based on the first index value and second index value.