Hybrid Multikernel-Constructed Polar Codes for Short Blocklength Transmissions

In this paper, we propose a coding technique using Hybrid multikernel-constructed Polar codes for short block-length transmission suitable for devices requiring low power consumption. The proposed coding scheme is based on normal recursive Polar codes with different matrix constituents. We evaluate the proposed codes in terms of the bit-error-rate (BER) performances under additive white Gaussian noise (AWGN) and Rayleigh fading channels via a series of computer simulations. We investigate the information bits and frozen bits of the proposed codes using the Bhattacharyya parameters. We found that in the Hybrid multikernel-constructed Polar codes the signal-to-noise power ratio (SNR) also affects the capacity and the positions of information bits. The results under AWGN channel show that the proposed codes improve performances. We also evaluate the performance of the proposed codes under block Rayleigh fading channels, where the superiority of the proposed codes is still confirmed. The results are expected to contribute to the development of coding techniques for disaster-and-recovery networks.