On the Sum-Rate Capacity of Poisson Multiple Access Channel with Non-Perfect Photon-Counting Receiver

被引:0
作者
Jiang Z. [1 ,2 ]
Gong C. [1 ]
Wang G. [1 ,2 ]
Xu Z. [1 ]
机构
[1] Key Laboratory of Wireless-Optical Communications, Chinese Academy of Sciences, School of Information Science and Technology, University of Science and Technology of China, Hefei
[2] Texas A & M University, College Station, 77843, TX
基金
中国国家自然科学基金;
关键词
capacity; dead time; finite sampling rate; MISO; multiple access; optical wireless communications;
D O I
10.23919/jcin.2020.9200897
中图分类号
学科分类号
摘要
We investigate two-user sum-rate capacity for Poisson channel considering practical photon-counting receiver, including finite sampling rate and dead time. The sum-rate capacity reduction due to photon-counting loss is characterized and compared with that of continuous Poisson channel. We show that the sum-rate capacity with non-perfect receiver approaches the capacity of continuous time Poisson channel as the sampling time and dead time both approach zero. For optimal transmission strategy, we demonstrate three possible transmission strategies, including only one active user and two active users. In addition, we study the special case of identical peak power constraint for each user. We adopt majorization method to demonstrate that the optimal duty cycle for the two users must be the same and unique. Furthermore, we analyze the sum-rate capacity for multiple input single output (MISO) multiple-access channel (MAC). We propose a sufficient condition on dead time where the sum-rate capacity of the Poisson MISO-MAC is equivalent to that of single input single output, and the equivalence would not hold for sufficient large peak power or dead time. The theoretical capacity results are validated by numerical results. © 2020, Posts and Telecom Press Co Ltd. All rights reserved.
引用
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页码:335 / 349
页数:14
相关论文
共 28 条
[1]  
GAGLIARDI R M, KARP S., Optical communications, (1976)
[2]  
XU Z Y, SADLER B M., Ultraviolet communications: Potential and state-of-the-art, IEEE Communications Magazine, 46, 5, pp. 67-73, (2008)
[3]  
ZOU D F, GONG C, WANG K, Et al., Characterization on practical photon counting receiver in optical scattering communication, IEEE Transactions on Communications, 67, 3, pp. 2203-2217, (2019)
[4]  
WANG G C, WANG K, GONG C, Et al., A 1 Mbit/s real-time NLOS UV scattering communication system with receiver diversity over 1 km, IEEE Photonics Journal, 10, 2, pp. 1-13, (2018)
[5]  
CHITNIS D, COLLINS S., A SPAD-based photon detecting system for optical communications, IEEE Journal of Lightwave Technol-ogy, 32, 10, pp. 2028-2034, (2014)
[6]  
SARBAZI E, SAFARI M, HASS H., Statistical modeling of single-photon avalanche diode receivers for optical wireless communica-tions, IEEE Transactions on Communications, 66, 9, pp. 4043-4058, (2018)
[7]  
WYNER A D., Capacity and error exponent for the direct detection photon channel-Part I-II, IEEE Transactions on Information Theory, 34, 6, pp. 1449-1471, (1988)
[8]  
FREY M R., Information capacity of the Poisson channel, IEEE Transactions on Information Theory, 37, 2, pp. 244-256, (1991)
[9]  
CHAKRABORTY K, DEY S, FRANCESCHETTI M., Outage capacity of MIMO Poisson fading channels, IEEE Transactionson Information Theory, 54, 11, pp. 4887-4907, (2008)
[10]  
SHAMAI S, LAPIDOTH A., Bounds on the capacity of a spectrally constrained Poisson channel, IEEE Transactions on Information Theory, 39, 1, pp. 19-29, (1993)