论文标题
具有索引调制的OFDM的最佳映射器:光谱计算分析
Optimal Mapper for OFDM with Index Modulation: A Spectro-Computational Analysis
论文作者
论文摘要
在这项工作中,我们为OFDM提供了一个具有索引调制(OFDM-IM)的最佳映射器。通过最佳方式,我们的意思是,当频谱效率(SE)超过OFDM最大化时,映射器实现了最低可能的渐近计算复杂性(CC)。我们提出了Spectro-Computational(SC)分析,以捕获CC和SE之间的权衡,并证明$ n $ subcarrier ofdm-im映射器必须以$θ(n)$ time的复杂性运行。我们表明,OFDM-IM映射器的运行速度快于这种复杂性无法达到最大SE,而一个运行速度较慢会使任意大的$ n $的映射吞吐量无效。我们通过实现一个支持所有DSP步骤来映射/demap n-Subcarrier复杂频率域ofdm-im符号来证明我们的理论发现。我们的实施支持不同的索引选择器算法,并且是第一个实现SE最大化的算法,同时保留了经典OFDM映射器的相同时间和空间渐进复杂性。
In this work, we present an optimal mapper for OFDM with index modulation (OFDM-IM). By optimal we mean the mapper achieves the lowest possible asymptotic computational complexity (CC) when the spectral efficiency (SE) gain over OFDM maximizes. We propose the spectro-computational (SC) analysis to capture the trade-off between CC and SE and to demonstrate that an $N$-subcarrier OFDM-IM mapper must run in exact $Θ(N)$ time complexity. We show that an OFDM-IM mapper running faster than such complexity cannot reach the maximal SE whereas one running slower nullifies the mapping throughput for arbitrarily large $N$. We demonstrate our theoretical findings by implementing an open-source library that supports all DSP steps to map/demap an N-subcarrier complex frequency-domain OFDM-IM symbol. Our implementation supports different index selector algorithms and is the first to enable the SE maximization while preserving the same time and space asymptotic complexities of the classic OFDM mapper.