Achievable Rate With Antenna Size Constraint: Shannon Meets Chu and Bode
Achievable Rate With Antenna Size Constraint: Shannon Meets Chu and Bode
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DOI：
10.1109/tcomm.2021.3099842
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发表时间：
2020-11
影响因子：
8.3
通讯作者：
Volodymyr Shyianov;Mohamed Akrout;F. Bellili;A. Mezghani;R. Heath
中科院分区：
文献类型：
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作者：
Volodymyr Shyianov;Mohamed Akrout;F. Bellili;A. Mezghani;R. Heath
利用Chu和Bode/Fano理论的思想，在限制接收端天线尺寸的条件下，刻画了单输入单输出无线通信信道的最大可达速率.采用电路理论的多端口模型的无线电通信系统，我们推导出紧凑型天线的信息理论的限制。我们首先描述了一个等效的楚天线电路的反射系数的物理实现条件下。这样的设计使我们能够随后计算出一个给定的接收天线尺寸的可实现的速率，从而提供了一个物理约束的系统性能，我们比较标准的大小不受约束的香农容量。我们还确定了有效的信号噪声比（SNR），这在很大程度上取决于天线的大小，并经历了一个明显的有限大小的性能下降，只有一小部分的香农容量可以实现。我们进一步确定了最佳的信令带宽，这表明阻抗匹配是必不可少的窄带和宽带的情况。我们还研究了存在干扰时的可实现速率，表明在干扰受限的情况下，大小约束是无关紧要的。最后，我们的数值计算结果得出的天线尺寸和SNR的函数的可实现的速率揭示了新的见解，物理上一致的无线电系统的设计。
Using ideas from Chu and Bode/Fano theories, we characterize the maximum achievable rate over the single-input single-output wireless communication channels under a restriction on the antenna size at the receiver. By employing circuit-theoretic multiport models for radio communication systems, we derive the information-theoretic limits of compact antennas. We first describe an equivalent Chu’s antenna circuit under the physical realizability conditions of its reflection coefficient. Such a design allows us to subsequently compute the achievable rate for a given receive antenna size thereby providing a physical bound on the system performance that we compare to the standard size-unconstrained Shannon capacity. We also determine the effective signal-to-noise ratio (SNR) which strongly depends on the antenna size and experiences an apparent finite-size performance degradation where only a fraction of Shannon capacity can be achieved. We further determine the optimal signaling bandwidth which shows that impedance matching is essential in both narrowband and broadband scenarios. We also examine the achievable rate in presence of interference showing that the size constraint is immaterial in interference-limited scenarios. Finally, our numerical results of the derived achievable rate as function of the antenna size and the SNR reveal new insights for the physically consistent design of radio systems.