Reciprocal calibration for channel estimation based on second-order statistics

A wireless communication apparatus, comprising:

• a processor;
• and
• a transceiver,
• wherein the processor is configured to:
• estimate, during a training phase, a second order statistics for a first wireless channel and a second wireless channel between a transmitter and a receiver comprising multiple antennas, wherein the second order statistics is estimated using reference tones transmitted on a first number of resource elements, and
• predict, during an operational phase subsequent to the training phase, an estimate of the second wireless channel based on the second order statistics and an estimate of the first wireless channel calculated using reference tones transmitted on a second number of resource elements, where the second number is less than the first number,
• wherein the transceiver is configured to:
• communicate, during the operational phase, over the second wireless channel using the estimate of the second wireless channel resulting from the predicting, and
• wherein the first wireless channel and the second wireless channel include non-overlapping frequencies.

A non-transitory computer-readable storage medium having instructions stored thereupon for wireless communication, the instructions when executed by a data processing apparatus, cause the data processing apparatus to perform operations comprising:

• estimating, during a training phase, a second order statistics for a first wireless channel and a second wireless channel between a transmitter and a receiver comprising multiple antennas, wherein the second order statistics is estimated using reference tones transmitted on a first number of resource elements;
• predicting, during an operational phase subsequent to the training phase, an estimate of the second wireless channel based on the second order statistics and an estimate of the first wireless channel calculated using reference tones transmitted on a second number of resource elements, where the second number is less than the first number;
• and
• communicating, during the operational phase, over the second wireless channel using the estimate of the second wireless channel resulting from the predicting;
• wherein the first wireless channel and the second wireless channel include non-overlapping frequencies.