Superdirective antenna array multi-user precoding method, device and medium

A superdirective antenna array multi-user precoding method, the method comprising:

• constructing a unitary matrix w ∈ CM×M for terminal users U, first N(N≤K−1) columns of the unitary matrix w being an orthonormal basis of an interfering user channel space span {hi,i=1, . . . ,K,i≠u} respectively, wherein N is a dimension of an interfering user channel space, hi ∈CM×1 represents a channel state information of an ith terminal user, M is a total number of antennas on a network device side, K is a total number of terminal users communicating, and M≥K is satisfied;
• intercepting last M−N columns of unitary matrix w and obtaining a matrix R, A wherein R ∈CM×(M−N);
• and
• calculating a precoding matrix au=RRHauopt of the uth terminal user, wherein auopt=Z−1hu*, hu represent a channel state information of the uth terminal user, a matrix z ∈ CM×M, elements in Z represent coupling coefficients of any two antennas, a superscript H represents a conjugate transpose, and a superscript * represents a conjugation.

A network device, comprising:

• a structural circuit configured to construct a unitary matrix U ∈ CM×M for terminal users u, last N(N≤K−1) columns of the unitary matrix U is an orthonormal basis of an interfering user channel space span {hi,i=1, . . . ,K,i≠u} respectively, N is a dimension of an interfering user channel space, hi ∈ CM×1 represents a channel state information of the ith terminal user, M is a total number of antennas on a network device side, K is a total number of terminal users communicating, and M≥K is satisfied;
• a first interception circuit configured to intercept first M−N rows of a matrix UHhu to obtain a matrix ηu, wherein ηu ∈C(M−N)×1 represents a channel state information of an uth terminal user, a superscript H represents a conjugate transpose;
• a second interception circuit configured to intercept first M−N rows, first M−N columns of a matrix UHZU to obtain a matrix , wherein ∈C(M−N)×(M−N) a matrix z ∈ CM×M, elements in z represent coupling coefficients of any two antennas;
• and
• a calculation circuit configured to calculate a precoding matrix au=U
• a
• u
• =
• U
• ⁡
• (
• α
• u
• 0
• )
• of an uth terminal user, wherein au=−1ηu*, a superscript * represents a conjugation.

A network device, comprising:

• a structural circuit configured to construct a unitary matrix w ∈ CM×M for terminal users u, first N(N≤K−1) columns of the unitary matrix w is an orthonormal basis of an interfering user channel space span {hi,i=1, . . . ,K,i≠u}respectively, N is a dimension of an interfering user channel space, hi ∈ CM×1 represents a channel state information of an ith terminal user, M is a total number of antennas on a network device side, K is a total number of terminal users communicating, and M≥K is satisfied;
• an interception circuit configured to intercept last M−N columns of an A unitary matrix w to obtain a matrix R, wherein R ∈ CM×(M−N);
• and
• a calculation circuit configured to calculate a precoding matrix au=RRHauopt of an uth terminal user, wherein auopt=Z−1hu*, a superscript * represents a conjugation, hu represent a channel state information of an uth terminal user, a matrix z ∈ CM×M, elements in z represent coupling coefficients of any two antennas, and a superscript H represents a conjugate transpose.