Beamsteering in a spatial division multiple access (SDMA) system

A first communication device, comprising:

• one or more integrated circuit devices configured to
• obtain respective channel estimate matrices of respective communication channels between i) the first communication device and ii) respective second communication devices,
• generate respective aggregate channel matrices corresponding to the respective second communication devices, wherein each respective aggregate channel matrix i) includes channel estimate matrices for others of the second communication devices, and ii) omits the channel estimate matrix for the respective second communication device,
• generate respective steering matrices for use in communicating with the respective second communication devices, wherein
• generating each respective steering matrix for use in communicating with each respective second communication device comprises
• using a corresponding aggregate channel matrix to generate a respective steering matrix that projects to a null-space of a space spanned by channel estimate matrices corresponding to others of the second communication devices;
• wherein the one or more integrated circuit devices are further configured to utilize the respective steering matrices to process respective signals to be transmitted simultaneously to the respective second communication devices.

A tangible, non-transitory computer readable medium storing machine-readable instructions that, when executed by one or more processors, cause the one or more processors to:

• obtain respective channel estimate matrices of respective communication channels between i) a first communication device and ii) respective second communication devices;
• generate respective steering matrices for use in the first communication device communicating with the respective second communication devices, wherein generating each respective steering matrix for use in communicating with each respective second communication device comprises
• generating a respective aggregate channel matrix that i) includes channel estimate matrices for others of the second communication devices, and ii) omits the channel estimate matrix for the respective second communication device, and
• using the respective aggregate channel matrix to generate the respective steering matrix to project to a null-space of a space spanned by channel estimate matrices corresponding to others of the second communication devices;
• and
• cause the first communication device to utilize the respective steering matrices to simultaneously transmit respective signals to the respective second communication devices.