  In this letter, a novel Golden-Hadamard codebook (GHC) scheme is proposed to
improve the performance of the traditional precoded Alamouti coding for
multiple-input and single-output systems. Although the traditional discrete
Fourier transform codebook (DFTC) performs satisfactorily with Alamouti coding
and offers numerous benefits for the Rayleigh fading channel, this scheme
inherently generates huge codeword distortion, which leads to a lower minimum
chordal distance (MCD). Furthermore, the uncertain format of all prior versions
of codebooks results in poorer minimum determinant (MD) values. Hence, the
proposed GHC scheme successfully deals with the issues of traditional DFTC to
achieve a better codebook format that completely overcome both MCD and MD
problems. The effectiveness of the proposed GHC scheme is confirmed, in terms
of bit-error-rate through Monte Carlo simulations.
