Codebook-based uplink transmission in wireless communications

A method, comprising:

• constructing, by a processor of a user equipment (UE), a codebook comprising a plurality of precoders;
• processing, by the processor, information using the codebook;
• and
• transmitting, by the processor, the processed information to a network node of a wireless network,
• wherein the constructing of the codebook comprises:
• selecting a candidate precoder from a single-stage codebook or a dual-stage codebook;
• and
• performing a permutation on the candidate precoder,
• wherein the performing of the permutation on the candidate precoder comprises:
• selecting a permutation matrix from a plurality of permutation matrices;
• and
• applying the permutation matrix to the candidate precoder to enlarge the candidate precoder such that a number of codewords in the enlarged candidate precoder is multiple times a number of codewords in the candidate precoder before the enlarging,
• wherein the permutation matrix comprises a square matrix.