Methods and apparatus for unified codebooks for orthogonal sequence transmission

An apparatus for wireless communication, the apparatus being a user equipment (UE), comprising:

• a memory;
• a transceiver;
• and
• at least one processor coupled to the memory and the transceiver and configured to:
• select one or more even-numbered rows of a plurality of rows or one or more even-numbered columns of a plurality of columns in a discrete Fourier transform (DFT) matrix for a sub-matrix of the DFT matrix;
• determine an orthogonal matrix based on the sub-matrix of the DFT matrix;
• determine a codebook based on the orthogonal matrix, the codebook including a plurality of codepoints;
• and
• transmit, via the transceiver, at least one signal including a first codepoint of the plurality of codepoints in the codebook to convey a K bit payload in an uplink resource, where K is a positive integer.

A method of wireless communication at a base station, comprising:

• receiving at least one signal to convey a K bit payload in an uplink resource, the at least one signal associated with a codebook including a plurality of codepoints, where K is a positive integer;
• correlating the at least one signal with each of the plurality of codepoints in the codebook, the codebook being associated with a sub-matrix of a discrete Fourier transform (DFT) matrix, the DFT matrix including a plurality of rows and a plurality of columns, the sub-matrix including one or more even-numbered rows in the DFT matrix or one or more even-numbered columns in the DFT matrix;
• and
• determining a first codepoint of the plurality of codepoints in the codebook, the first codepoint including a highest correlation with the at least one signal.

An apparatus for wireless communication, the apparatus being a base station, comprising:

• a memory;
• a transceiver;
• and
• at least one processor coupled to the memory and the transceiver and configured to:
• receive, via the transceiver, at least one signal to convey a K bit payload in an uplink resource, the at least one signal associated with a codebook including a plurality of codepoints, where K is a positive integer;
• correlate the at least one signal with each of the plurality of codepoints in the codebook, the codebook being associated with a sub-matrix of a discrete Fourier transform (DFT) matrix, the DFT matrix including a plurality of rows and a plurality of columns, the sub-matrix including one or more even-numbered rows in the DFT matrix or one or more even-numbered columns in the DFT matrix;
• and
• determine a first codepoint of the plurality of codepoints in the codebook, the first codepoint including a highest correlation with the at least one signal.