🤖 AI Summary
This study addresses selective fading in wireless communications and the limitations of existing anti-interference techniques by proposing a universal random precoding framework alongside a cross-domain OAMP/MAMP detector. By constructing equivalent channels through random transformations, the proposed method enhances diversity gain while maintaining compatibility with current waveforms. Furthermore, a low-complexity implementation scheme is designed, leveraging state evolution analysis to optimize detection performance. The resulting approach achieves near-optimal performance in MIMO systems with significantly reduced computational complexity. It also supports flexible compression ratios to improve spectral efficiency, effectively balancing system robustness with backward compatibility.
📝 Abstract
Current wireless systems combat inter-symbol interference (ISI) by diagonalizing or sparsifying the channel matrix, yet they remain vulnerable to selective fading. To address this, we propose a universal random precoding (RP) transmission framework based on the universality class. RP leverages random transforms to statistically exploit all subchannels and construct an equivalent channel belonging to the universality class, thereby enhancing diversity gain while maintaining backward compatibility with existing waveforms. Low-complexity implementations include the randomly permuted fast transform (FT-RP) and the interleaved block-sparse fast transform (IBSFT-RP). A cross-domain OAMP/MAMP (CD-OAMP/MAMP) detector is designed for RP systems, which is replica maximum \textit{a posteriori} (MAP)-optimal according to state evolution (SE). Simulation results on MIMO systems demonstrate that RP with CD-OAMP/MAMP achieves near-RM performance with much lower complexity, with additional benefits of flexible compression ratios for spectral efficiency.