Techniques for periodically resetting the polar cap for a differential codebook precoding scheme for wireless communications are described. An apparatus may comprise a fixed device for a mobile broadband communications system utilizing an orthogonal frequency-division multiple access technique, the fixed device having a precoding module operative to generate a precoding matrix using a received first codeword of a first base codebook, subsequently reconstruct the precoding matrix using a received polar-cap codeword of a polar-cap codebook, and periodically reset the precoding matrix to clear accumulated error at the fixed device using a received second codeword of a second base codebook. Other embodiments are described and claimed.