Method for codebook design and beamforming vector selection in per-user unitary rate control (PU2RC) system

A communication method using a multi-antenna, the method comprising:

• providing a codebook, the codebook including a plurality of matrices;
• grouping a plurality of data signals into a plurality of data signal groups, each of the data signal groups comprising selected ones of the plurality of data signals;
• selecting one of the data signal groups to be transmitted by performing beamforming;
• performing beamforming using the codebook to generate a signal, the performing of the beamforming comprising controlling the grouping of the plurality of data signals and the selecting of the one of the data signal groups;
• and
• transmitting the data signal via the multi-antenna, wherein:
• the codebook is generated by following requirements of:
• (1) for all of the plurality of matrices, all column vectors of the same matrix of the plurality of matrices are orthogonal to each other,
• (2) for all columns of the plurality of matrices, each column vector of all of the plurality of matrices of the same column is spaced apart from each other by a distance greater than a predetermined amount, and
• (3) each of a plurality of mobile terminals, which corresponds to a group served by a base station, corresponds to a different column vector of the same matrix,
• the multi-antenna comprises two transmitting antennas that are an entirety of the transmitting antennas of the multi-antenna, and
• the providing of the codebook comprises generating the codebook, the generating of the codebook comprising:
• designating a plurality of column vectors as first column vectors of the plurality of matrices, the plurality of column vectors being configured to satisfy a Grassmannian line packing (GLP) criterion;
• and
• generating a second column vector of each of the matrices by multiplying the first column vector of each of the matrices by a rotation matrix according to the following equation:
• w
• k
• ,
• 2
• =
• [
• 0
• 1
• -
• 1
• 0
• ]
• ⁢
• w
• k
• ,
• 1
• *
• ,
• where wk,1 is the first column vector of a k-th matrix of the plurality of matrices that satisfies the GLP criterion with respect to the first column vectors of all other matrices of the plurality of matrices, and wk,2 is the second column vector of the k-th matrix generated by multiplying wk,1 by the rotation matrix.

A non-transitory computer-readable medium encoded with processing instructions for implementing a communication method using a multi-antenna performed by a computer, the method comprising:

• providing a codebook, the codebook including a plurality of matrices;
• grouping a plurality of data signals into a plurality of data signal groups, each of the data signal groups comprising selected ones of the plurality of data signals;
• selecting one of the data signal groups to be transmitted by performing beamforming;
• performing beamforming using the codebook to generate a signal, the performing of the beamforming comprising controlling the grouping of the plurality of data signals and the selecting of the one of the data signal groups;
• and
• transmitting the data signal via the multi-antenna, wherein:
• the codebook is generated by following requirements of:
• (1) for all of the plurality of matrices, all column vectors of the same matrix of the plurality of matrices are orthogonal to each other,
• (2) for all columns of the plurality of matrices, each column vector of all of the plurality of matrices of the same column is spaced apart from each other by a distance greater than a predetermined amount, and
• (3) wherein each of a plurality of mobile terminals, which corresponds to a group served by a base station, corresponds to a different column vector of the same matrix,
• the multi-antenna comprises two transmitting antennas that are an entirety of the transmitting antennas of the multi-antenna, and
• the providing of the codebook comprises generating the codebook, the generating of the codebook comprising:
• designating a plurality of column vectors as first column vectors of the plurality of matrices, the plurality of column vectors being configured to satisfy a Grassmannian line packing (GLP) criterion;
• and
• generating a second column vector of each of the matrices by multiplying the first column vector of each of the matrices by a rotation matrix according to the following equation:
• w
• k
• ,
• 2
• =
• [
• 0
• 1
• -
• 1
• 0
• ]
• ⁢
• w
• k
• ,
• 1
• *
• ,
• where wk,1 is the first column vector of a k-th matrix of the plurality of matrices that satisfies the GLP criterion with respect to the first column vectors of all other matrices of the plurality of matrices, and wk,2 is the second column vector of the k-th matrix generated by multiplying wk,1 by the rotation matrix.