A system and method for wireless communications is provided. A method for operating in a communications network includes receiving a codebook, the codebook includes a plurality of codewords, and determining if the codebook satisfies a constant modulus property. The method also includes in response to determining that the codebook does not satisfy the constant modulus property, converting the codebook into a codebook satisfying the constant modulus property, and storing the codebook satisfying the constant modulus property. The method further includes storing the codebook in response to determining that the codebook does satisfy the constant modulus property, and causing to transmit a transmission to a communications device, wherein the transmission is encoded using a codeword in the stored codebook.