论文标题
在编码大型单位不变系统中，OAMP的容量最佳性
Capacity Optimality of OAMP in Coded Large Unitarily Invariant Systems
论文作者
论文摘要
本文研究了一个大型单位不变系统（LUI），涉及单位不变的传感矩阵，任意固定信号分布和正向误差控制（FEC）编码。基于未编码的路易斯中正交近似消息传递（OAMP）的状态演变建立了几种区域属性。在假设联合OAMP和FEC解码的状态进化是正确的，并且复制方法是可靠的，我们分析了OAMP的可实现率。我们证明，OAMP可以根据匹配的FEC编码具有任意信号分布来实现Luis的复制方法预测的约束能力。同时，我们详细阐述了LUI的约束能力实践的编码原理，基于该编码原理，基于该二进制信号的不规则低密度均衡检查（LDPC）代码在模拟结果中进行了优化。我们表明，具有优化代码的OAMP比未优化的代码和著名的涡轮线性MMSE算法具有显着的性能提高。对于正交相移键合（QPSK）调制，在各种通道条件下观察到容量限制的位错误率（BER）性能。
This paper investigates a large unitarily invariant system (LUIS) involving a unitarily invariant sensing matrix, an arbitrary fixed signal distribution, and forward error control (FEC) coding. Several area properties are established based on the state evolution of orthogonal approximate message passing (OAMP) in an un-coded LUIS. Under the assumptions that the state evolution for joint OAMP and FEC decoding is correct and the replica method is reliable, we analyze the achievable rate of OAMP. We prove that OAMP reaches the constrained capacity predicted by the replica method of the LUIS with an arbitrary signal distribution based on matched FEC coding. Meanwhile, we elaborate a constrained capacity-achieving coding principle for LUIS, based on which irregular low-density parity-check (LDPC) codes are optimized for binary signaling in the simulation results. We show that OAMP with the optimized codes has significant performance improvement over the un-optimized ones and the well-known Turbo linear MMSE algorithm. For quadrature phase-shift keying (QPSK) modulation, constrained capacity-approaching bit error rate (BER) performances are observed under various channel conditions.
