In this paper, we study the single-carrier system with time-based receive transformation (TRT) under intersymbol interference (ISI). We consider the single-carrier single-input-single-output (SISO) system where the receiver uses the signals received during finite number of symbol periods to detect one data frame consisting of finite number of symbols. We show that the single-carrier system with TRT can completely eliminate the effect of the inter-frame ISI (IFI) between different data frames so that the diversity provided by the intra-frame ISI within the same data frame can be fully utilized to maximize the achievable rate. We also show that the achievable rate of the single-carrier system with TRT can be larger than the ISI-free SISO channel capacity and this advantage increases with the number of symbols per frame and/or the number of symbols that ISI affects.

在本文中，我们研究了在符号间干扰 (ISI) 下具有基于时间的接收变换 (TRT) 的单载波系统。我们考虑单载波单输入单输出 (SISO) 系统，其中接收器使用在有限数量的符号周期内接收到的信号来检测由有限数量的符号组成的数据帧。我们表明，具有 TRT 的单载波系统可以完全消除不同数据帧之间的帧间 ISI (IFI) 的影响，从而可以充分利用同一数据帧内的帧内 ISI 提供的分集来最大化可达到的速率。