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Capacity limit for faster-than-Nyquist non-orthogonal frequency-division multiplexing signaling

机译:快于奈奎斯特非正交频分的容量限制   多路复用信令

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摘要

Faster-than-Nyquist (FTN) signal achieves higher spectral efficiency andcapacity compared to Nyquist signal due to its smaller pulse interval ornarrower subcarrier spacing. Shannon limit typically defines the upper-limitcapacity of Nyquist signal. To the best of our knowledge, the mathematicalexpression for the capacity limit of FTN non-orthogonal frequency-divisionmultiplexing (NOFDM) signal is first demonstrated in this paper. Themathematical expression shows that FTN NOFDM signal has the potential toachieve a higher capacity limit compared to Nyquist signal. In this paper, wedemonstrate the principle of FTN NOFDM by taking fractional cosinetransform-based NOFDM (FrCT-NOFDM) for instance. FrCT-NOFDM is first proposedand implemented by both simulation and experiment. When the bandwidthcompression factor $\alpha$ is set to $0.8$ in FrCT-NOFDM, the subcarrierspacing is equal to $40\%$ of the symbol rate per subcarrier, thus thetransmission rate is about $25\%$ faster than Nyquist rate. FTN NOFDM withhigher capacity would be promising in the future communication systems,especially in the bandwidth-limited applications.
机译:与Nyquist信号相比,比Nyquist信号快的信号实现了更高的频谱效率和容量,这是因为其脉冲间隔更小或副载波间隔更窄。香农极限通常定义了奈奎斯特信号的上限容量。据我们所知,本文首先对FTN非正交频分复用(NOFDM)信号的容量极限进行了数学表达。数学表达式表明,与Nyquist信号相比,FTN NOFDM信号具有实现更高容量限制的潜力。本文以分数阶基于余弦变换的NOFDM(FrCT-NOFDM)为例,阐述了FTN NOFDM的原理。 FrCT-NOFDM最早是通过仿真和实验提出并实现的。当在FrCT-NOFDM中将带宽压缩系数$ \ alpha $设置为$ 0.8 $时,子载波间隔等于每个子载波符号率的$ 40 \%$,因此传输速率比Nyquist速率快约$ 25 \%$。具有更高容量的FTN NOFDM在未来的通信系统中,尤其是在带宽受限的应用中将是有希望的。

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