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;
• determine a set of bases, wherein each basis in the set of bases is corresponds to a respective one of the quantized AoA values;
• parameterize each basis by a corresponding quantized AoA value;
• determine bases based on the beamforming codebook and the estimated digital channel, wherein a first basis of the determined bases is selected from the set of bases;
• determining sparse coefficients based on the determined bases;
• and
• recover analog channels based on the sparse coefficients and the determined bases.

A method for analog channel recovery, comprising:

• receiving 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;
• determining a set of bases, wherein each basis in the set of bases is corresponds to a respective one of the quantized AoA values;
• parameterizing each basis by a corresponding quantized AoA value;
• selecting a first basis, from the set of bases, according to a largest projection power of the measurement output onto the set of bases;
• determining remaining bases based on the selected first basis;
• determining sparse coefficients based on the selected first basis and the determined remaining bases;
• and
• recovering analog channels based on the selected first basis and the determined remaining bases.

A system for analog channel recovery, 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;
• determine a set of bases, wherein each basis in the set of bases is corresponds to a respective one of the quantized AoA values;
• parameterize each basis by a corresponding quantized AoA value;
• select a first basis, from the set of bases, according to a largest projection power of the measurement output on the set of bases;
• determine remaining bases based on the selected first basis;
• determine sparse coefficients based on the selected first basis and the determined remaining bases;
• and
• recover analog channels based on the determined sparse coefficients, the selected first basis, and the determined remaining.