Development of Interleaver for the BICM-ID system based on the GBIm

In this study, the Generalized Block Interleaving method (GBIm) is proposed for the Bit-Interleaved Coded Modulation with Iterative Decoding (BICM-ID) system. Generalized Block Interleaving with Almost Regular Permutation (GBI-ARP) and Generalized Block Interleaving with Golden (GBI-Golden) are developed based on GBIm, utilizing component interleaving constructed from algebraic mathematical expressions. With this approach, the proposed interleavers maintain simplicity while ensuring high randomness and large connectivity indices. This enhances system flexibility and reduces memory requirements. Research results demonstrate that the GBI-ARP and GBI-Golden interleavers significantly improve the Bit Error Rate (BER) performance of the BICM-ID system using (8,4,4) Extended Hamming code and 16-QAM modulation, achieving a gain of 0.5 dB in Signal-to-Noise Ratio (SNR) at a BER of 10^−6 compared to a random interleaver, and over 2dB at a BER of 10^−4 compared to traditional Block interleaver and basic Golden interleaver. Furthermore, the proposed interleavers based on the GBIm meet the criteria for complexity, latency, and applicability in next-generation real-time communication systems.