Performance statistics of broadcasting networks with receiver diversity and Fountain codes

ABSTRACT

The performance of broadcasting networks employing Fountain codes with receiver diversity techniques is investigated in the present work. Particularly, we derive the closed-form expressions of the cumulative distribution function (CDF), the probability mass function (PMF), and the raw moments of the number of the needed time slots to deliver a common message to all users under two diversity schemes, namely, maximal ratio combining (MRC) and selection combining (SC). Numerical results are supplied to verify the accuracy of the considered networks and highlight the behaviours of these metrics as a function of some vital parameters such as the number of receivers, and the number of received antennae. Additionally, we also confirm the advantages of the MRC scheme compared with the SC scheme in the broadcasting networks.

KEYWORDS:

• Broadcasting networks
• fountain codes
• receiver diversity
• performance analysis

Disclosure statement

The authors declare that there is no conflict of interest in this paper.

Correction Statement

This article has been corrected with minor changes. These changes do not impact the academic content of the article.

Notes

1 Here, the carrier frequency is selected to align with the current 4G systems. However, the proposed mathematical framework can be applied to all sub-6 Ghz carrier frequencies (Phu et al., 2021).

Additional information

Funding

This work was financially supported by Ton Duc Thang University [grant number FOSTECT.2023.09].

Notes on contributors

Lam-Thanh Tu

Lam-Thanh TU (Email: [email protected]) received the B.Eng. degree in electronics and telecommunications engineering from the Ho Chi Minh City University of Technology, Vietnam, in 2009, the M.Sc. degree in telecommunications engineering from the Posts and Telecommunications Institute of Technology, Vietnam, in 2014, and the Ph.D. degree from the University of Paris Sud, Paris-Saclay University, France, in 2018. From 2015 to 2018, he was with the French National Center for Scientific Research (CNRS), Paris, as an Early Stage Researcher of the European-Funded Project H2020 ETN-5Gwireless. From 2019-2021, he was with the Xlim Research Institute, University of Poitiers, France as a postdoctoral research fellow. From 2022, he is with the Faculty of Electrical and Electronics Engineering, at Ton Duc Thang University, Vietnam. His research interests include stochastic geometry, LoRa networks, reconfigurable intelligent surfaces, and artificial intelligence applications for wireless communications.

Tan N. Nguyen

Tan N. Nguyen was born in 1986 in Nha Trang City, Vietnam. He received a BS degree in electronics in 2008 from Ho Chi Minh University of Natural Sciences and an MS degree in telecommunications engineering in 2012 from Vietnam National University. He received a Ph.D. in communications technologies in 2019 from the Faculty of Electrical Engineering and Computer Science at VSB - Technical University of Ostrava, Czech Republic. He joined the Faculty of Electrical and Electronics Engineering of Ton Duc Thang University, Vietnam, in 2013, and since then has been lecturing. His major interests are cooperative communications, cognitive radio, physical layer security and signal processing.

Phuong T. Tran

Phuong T. Tran received the B.Eng. and M.Eng. degrees in electrical engineering from the Ho Chi Minh City University of Technology, Ho Chi Minh City, in 2002 and 2005, respectively, and the M.S. degree in mathematics and the Ph.D. degree in electrical and computer engineering from Purdue University, West Lafayette, IN, USA, in 2013. In 2007, he became a Vietnam Education Foundation Fellow at Purdue University. In 2013, he joined the Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Vietnam, and he has been served as the Vice Dean of Faculty since October 2014. His major interests are in the area of wireless communications and network information theory.

Tran Trung Duy

Tran Trung Duy received the Ph.D. degree in electrical engineering from University of Ulsan, South Korea. In 2013, he joined Posts and Telecommunications Institute of Technology, Ho Chi Minh city campus (PTIT-HCM), as a lecturer. From 2022, he is an associate Professor of Wireless Communications at PTIT-HCM. His major research interests are cooperative communications, cooperative multi-hop, cognitive radio, physical-layer security, energy harvesting, hardware impairments and Fountain codes.

Quang-Sang Nguyen

Quang-Sang Nguyen received the B.E. degree from Ho Chi Minh City University of Transport, Ho Chi Minh City, Vietnam, in 2010, the M.E. degree from Ho Chi Minh City University of Technology, Ho Chi Minh City, in 2013, and the Ph.D. degree in electrical engineering from the University of Ulsan, Ulsan, South Korea, in 2017. From January 2017 to June 2017, he was a Postdoctoral Research Fellow with Queen's University Belfast, Belfast, U.K. From June 2017 until May 2021, he has been a Lecturer at Duy Tan University, Ho Chi Minh City. Since May 2021, He is currently the Dean of the Faculty of Electrical and Electronics Telecommunications Engineering at Ho Chi Minh City University of Transport. His major research interests are cooperative communication, cognitive radio network, physical layer security, energy harvesting, and non-orthogonal multiple access, Artificial intelligence.