Independent transmit and receive channel calibration for multiple-input multiple-output (MIMO) systems

A system comprising:

• one or more processors configured to:
• collect, based on signals obtained via a multiple-input multiple-output (MIMO) antenna array system, channel responses for an angle within a field-of-view of a sensor;
• generate, based on the channel responses, an observation matrix, approximated by a rank one matrix, including elements for each of the channel responses, the observation matrix being approximated as a rank one matrix;
• decompose, based on a singular value decomposition, the elements of the observation matrix into a left-singular vector associated with transmit components of the MIMO antenna array system
• and a right-singular vector associated with receive components of the MIMO antenna array system;
• compute, based on the left-singular vector, transmit calibration values particular to the transmit components of the MIMO antenna array system;
• compute, based the right-singular vector, receive calibration values particular to the receive components of the MIMO antenna array system;
• and
• maintain the transmit calibration values and the receive calibration values as a respective transmit calibration matrix and receive calibration matrix for enabling the sensor to calibrate a beam vector transmitted or received via the MIMO antenna array system.

A method comprising:

• collecting, based on signals obtained via a multiple-input multiple-output (MIMO) antenna array system, a respective group of channel responses for each of one or more angles within a field-of-view of one or more sensors;
• generating, based on the respective group of channel responses for the one or more angles, an observation matrix for each of the one or more angles, each observation matrix generated for each of the one or more angles including an element for each of the channel responses in the respective group of channel responses for that angle;
• determining a left-singular vector of each observation matrix generated for each of the one or more angles, the left-singular vector representing transmit components of the MIMO antenna array system;
• determining a right-singular vector of each observation matrix generated for each of the one or more angles, the right-singular vector representing receive components of the MIMO antenna array system;
• responsive to determining the left-singular vector of each observation matrix generated for each of the one or more angles, computing transmit calibration values that, when combined with the left-singular vector of each observation matrix, provide minimum values when compared to an ideal steering vector for the transmit components for each of the one or more angles represented by each observation matrix;
• responsive to determining the right-singular vector of each observation matrix generated for each of the one or more angles, computing receive calibration values that, when combined with the right-singular vector of each observation matrix, provide minimum values when compared to an ideal steering vector for the receive components for each of the one or more angles represented by each observation matrix;
• and
• maintaining the transmit calibration values and the receive calibration values as a respective transmit calibration matrix and receive calibration matrix for enabling the one or more sensors to calibrate a beam vector transmitted or received via the MIMO antenna array system.