摘要翻译：
确定调制方案的容量是感兴趣的基本主题。索引调制(IM)，如空间调制(SMod)、极化调制(PMod)或频率索引调制(FMod)等，在文献中得到了广泛的研究。然而，如何为它们的能力找到一个封闭形式的分析表达式仍然是一个开放的话题。本文给出了IM瞬时容量的闭式表达式，并给出了它的$2$nd和$4$级近似。我们表明，在低信噪比(SNR)下，$2$nd近似误差平均趋于零，为$O\left(\textrm{SNR}\right)$。文中还详细分析了Rayleigh、Rice和Nakagami-$M$信道分布下的遍历容量。作为容量分析的应用，我们利用所提出的表达式计算了不同天线结构和相关的SMod,不同信道分量和条件的PMod和不同频率分离的FMod的遍历容量。
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英文标题：
《Capacity Analysis of Index Modulations over Spatial, Polarization and
  Frequency Dimensions》
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作者：
Pol Henarejos and Ana I. P\'erez-Neira
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最新提交年份：
2018
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分类信息：

一级分类：Electrical Engineering and Systems Science        电气工程与系统科学
二级分类：Signal Processing        信号处理
分类描述：Theory, algorithms, performance analysis and applications of signal and data analysis, including physical modeling, processing, detection and parameter estimation, learning, mining, retrieval, and information extraction. The term "signal" includes speech, audio, sonar, radar, geophysical, physiological, (bio-) medical, image, video, and multimodal natural and man-made signals, including communication signals and data. Topics of interest include: statistical signal processing, spectral estimation and system identification; filter design, adaptive filtering / stochastic learning; (compressive) sampling, sensing, and transform-domain methods including fast algorithms; signal processing for machine learning and machine learning for signal processing applications; in-network and graph signal processing; convex and nonconvex optimization methods for signal processing applications; radar, sonar, and sensor array beamforming and direction finding; communications signal processing; low power, multi-core and system-on-chip signal processing; sensing, communication, analysis and optimization for cyber-physical systems such as power grids and the Internet of Things.
信号和数据分析的理论、算法、性能分析和应用，包括物理建模、处理、检测和参数估计、学习、挖掘、检索和信息提取。“信号”一词包括语音、音频、声纳、雷达、地球物理、生理、（生物）医学、图像、视频和多模态自然和人为信号，包括通信信号和数据。感兴趣的主题包括：统计信号处理、谱估计和系统辨识；滤波器设计；自适应滤波/随机学习；（压缩）采样、传感和变换域方法，包括快速算法；用于机器学习的信号处理和用于信号处理应用的机器学习；网络与图形信号处理；信号处理中的凸和非凸优化方法；雷达、声纳和传感器阵列波束形成和测向；通信信号处理；低功耗、多核、片上系统信号处理；信息物理系统的传感、通信、分析和优化，如电网和物联网。
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一级分类：Computer Science        计算机科学
二级分类：Information Theory        信息论
分类描述：Covers theoretical and experimental aspects of information theory and coding. Includes material in ACM Subject Class E.4 and intersects with H.1.1.
涵盖信息论和编码的理论和实验方面。包括ACM学科类E.4中的材料，并与H.1.1有交集。
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一级分类：Mathematics        数学
二级分类：Information Theory        信息论
分类描述：math.IT is an alias for cs.IT. Covers theoretical and experimental aspects of information theory and coding.
它是cs.it的别名。涵盖信息论和编码的理论和实验方面。
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英文摘要：
  Determining the capacity of a modulation scheme is a fundamental topic of interest. Index Modulations (IM), such as Spatial Modulation (SMod), Polarized Modulation (PMod) or Frequency Index Modulation (FMod), are widely studied in the literature. However, finding a closed-form analytical expression for their capacity still remains an open topic. In this paper, we formulate closed-form expressions for the instantaneous capacity of IM, together with its $2$nd and $4$th order approximations. We show that, in average, the $2$nd approximation error tends to zero for low Signal to Noise Ratio (SNR) and is $o\left(\textrm{SNR}\right)$. Also, a detailed analysis of the ergodic capacity over Rayleigh, Rice and Nakagami-$m$ channel distributions is provided. As application of the capacity analysis, we leverage the proposed expressions to compute the ergodic capacities of SMod for different antenna configuration and correlations, PMod for different channel components and conditions, and FMod for different frequency separations.
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PDF链接：
https://arxiv.org/pdf/1803.07306