Method and apparatus for precoding in a two transmit antenna closed-loop MIMO fixed wireless backhaul network
A method and system is disclosed for precoding in a two transmit antenna MIMO system, for example, a wireless backhaul network. The method only uses the first column of the 2×2 precoder as the feedback information. When the feedback information is available to the transmitter, the transmitter performs an interpolation and reconstruction procedure to obtain the precoder matrix for each subcarrier. The method offers no significant loss in performance, with reduced computational complexity and feedback overhead compared to conventional known matrix representation methods.
1. A method of precoding in a two transmit antenna Multiple Input Multiple Output (MIMO) fixed wireless backhaul network, the method comprising:
at a receiver of a first wireless station: receiving a signal transmitted by two antennas of a transmitter of a second wireless station;
determining a 2×2 precoding matrix from the received signal based on singular value decomposition (SVD);
determining a first column of the 2×2 precoder matrix;
feeding back to the second wireless station the two complex entries of the first column of the 2×2 precoder matrix of at least one subcarrier using a finite precision format;
at a receiver of the second wireless station, receiving a signal comprising the values of the two complex entries of the first column of the 2×2 precoder matrix; interpolating from the received values the first column entries for every subcarrier using linear interpolation;
normalizing the sum of the absolute value squares of the first column entries of the precoder matrix;
re-constructing the second column entries of the precoder matrix using negative conjugate and conjugate of the values of the first column entries; and
applying the resulting precoder matrix to modulate data signals transmitted from the transmitter of the second station to receiver of the first station.
2. The method of claim 1 , wherein the subcarriers are the center subcarriers of each sub-band, comprising at least one subcarrier in a system.
3. Apparatus in a two transmit antenna Multiple Input Multiple Output (MIMO) fixed wireless backhaul network comprising:
a plurality of wireless stations each comprising a receiver and a transmitter with two antenna,
processing means in a receiver of a first wireless station configured to perform the method steps of:
receiving a signal transmitted by two antennas of a transmitter of a second wireless station;
determining a 2×2 precoding matrix from the received signal based on singular value decomposition (SVD);
determining a first column of the 2×2 precoder matrix;
feeding back to the second wireless station the two complex entries of the first column of the 2×2 precoder matrix of at least one subcarrier using a finite precision format;
processing means in a receiver of a second wireless station configured to perform the method steps of:
receiving a signal comprising the values of the two complex entries of the first column of the 2×2 precoder matrix;
interpolating from the received values the first column entries for every subcarrier using linear interpolation;
normalizing the sum of the absolute value squares of the first column entries of the precoder matrix;
re-constructing the second column entries of the precoder matrix using minus conjugate and conjugate of the values of the first column entries; and
applying the resulting precoder matrix to modulate data signals transmitted from the transmitter of the second station to receiver of the first station.
4. A wireless network according to claim 3 , wherein the wireless stations comprise a plurality of hub modules and Remote Backhaul Modules (RBM), wherein each hub module serves a plurality of RBMs.
5. A non-transitory computer readable storage medium, storing instructions, which when executed by processor means of wireless stations of a two transmit antenna Multiple Input Multiple Output (MIMO) wireless network in a closed-loop system, perform the method steps of claim 1 .