Abstract
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.
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