This paper focuses on performance analysis of Faster than Nyquist (FTN) signaling schemes that employ low-density parity-check (LDPC) codes, trellis-based detector and turbo equalization decoding principle. We propose an optimization procedure for shaping pulse design, that takes into account number of trellis states used for equalization. By using proposed numerical procedure, we identify information rate limits, achievable by FTN signaling technique, with identically and uniformly distributed (i.u.d.) inputs, from a discrete constellation. Furthermore, based on EXIT chart analysis, we provide a numerical upper bound on achievable information rate (AIR) of FTN communication systems with i.u.d. inputs, finite number of turbo decoding iterations or code complexity limitations. Additionally, we derive a tighter upper bound on AIR and demonstrate its usefulness by showing that it is possible to design irregular repeat accumulate LDPC codes that operate within 0.2 dB of the proposed bound for a wide range of code rates.

本文重点介绍采用低密度奇偶校验 (LDPC) 码、基于网格的检测器和 Turbo 均衡解码原理的快于奈奎斯特 (FTN) 信令方案的性能分析。我们提出了一种用于整形脉冲设计的优化程序，该程序考虑了用于均衡的网格状态的数量。通过使用建议的数值程序，我们确定信息速率限制，可通过 FTN 信令技术实现，具有相同且均匀分布的 (iud) 输入，来自离散星座。此外，基于 EXIT 图分析，我们提供了具有 iud 输入、有限数量的 Turbo 解码迭代或代码复杂性限制的 FTN 通信系统的可实现信息速率 (AIR) 的数值上限。此外，