Distortion-free Golden Precoded Alamouti for MISO Systems

Although the discrete Fourier transform (DFT) precoded Alamouti (DPA) scheme with limited feedback offers numerous benefits in the Rayleigh fading channel, this scheme inherently generates geometric mean distortion due to the error exponential of the DFT precoding (DP). Consequently, the receiver suddenly losses the average received channel power. Instead of the conventional DPA scheme, we propose a Golden precoded Alamouti (GPA) scheme to construct a distortion-free codeword generator that can be used in multiple-input and singleoutput (MISO) systems. The Golden section with continuous geometric proportion and the Golden precoding (GP) pattern can be used to construct some good space-time block codes (STBCs) with orthogonal properties and simple inverse computation for use in future wireless communications. In this paper, we overcome the Grassmannian subspace packing problem and compute the pairwise error probability (PEP) to verify the bit-error-rate (BER) performance. Our Monte Carlo simulations show that the proposed GPA scheme performs better than the conventional DPA scheme.