System and method for providing channel recovery for angle domain sparse channels

A system comprising:

• a memory;
• and
• a processor configured to:
• receive an input including a measurement output of digital channel information, the digital channel information comprising an estimated digital channel, a beamforming codebook, and quantized angle of arrival (AoA) values;
• select a basis from a set of bases according to a largest projection power of the measurement output onto the set of bases, wherein each basis in the set of bases corresponds to a respective one of the quantized AoA values;
• recover a partial channel based on the beamforming codebook and the estimated digital channel;
• and
• recover an analog channel based on the partial channel and the basis.

A non-transitory computer readable storage medium storing instructions that, when executed, cause a processor to:

• receive an input including a measurement output of digital channel information, the digital channel information comprising an estimated digital channel, a beamforming codebook, and quantized angle of arrival (AoA) values;
• select a basis from a set of bases according to a largest projection power of the measurement output onto the set of bases, wherein each basis in the set of bases corresponds to a respective one of the quantized AoA values;
• recover a partial channel based on the beamforming codebook and the estimated digital channel;
• and
• recover an analog channel based on the partial channel and the basis.