A Packet Delay Assessment Model in the Data Link Layer of the LTE

Ulugbek Amirsaidov - Department of Data Communication Networks and Systems, Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Uzbekistan
Azamat Qodirov - Department of Data Communication Networks and Systems, Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Uzbekistan

Citation Format:

DOI: http://dx.doi.org/10.30630/joiv.5.4.601


The issues of modeling and evaluating the characteristics of the LTE data link layer functioning are considered. Transmitting packets in the data link layer are represented by a probabilistic-temporal graph consisting of two subgraphs. The ï¬rst subgraph describes the operation of the HARQ protocol, and the second subgraph describes the operation of the ARQ protocol. The ï¬rst subgraph is nested within the second subgraph. The probabilities of correct reception, non-error detection, and retransmission of packets in the MAC and RLC layers and generating functions of the packet service time based on the HARQ and ARQ protocols are determined. With the help of generating functions, the average value, variance, and coefficient of variation of the packet service time are determined. To calculate the average packet delay time in the LTE data link layer, the type of queuing system is selected, taking into account the coefficient of variation of the packet service time. The analysis of packets' delay time in the network's data link layer is carried out for different values of the intensity of packet arrival and the probabilities of a bit error in the physical layer of the network. For the sustainable functioning of the data link layer of the network, the limit values of the intensity of the arrival of packets are determined for a given probability of a bit error in the physical layer of the network.


LTE networks; HARQ protocol; ARQ protocol; HARQ-ARQ interaction; HARQ and ARQ probabilistic-temporal graphs; generating packet service time functions; queuing system; average packet delay time.

Full Text:



Cox, Christoher. An introduction to LTE: LTE, LTE-advanced, VoLTE and 4G mobile communication. Hoboken, NJ: Wiley, 2014.- 487 p.

Redouane Sassioui, Mohammed Jabi, Leszek Szczecinski, Long Bao Le, Mustapha Benjillali, and Benoit Pelletier. HARQ and AMC: Friends or Foes? 2016 IEEE Global Communications Conference (GLOBECOM) DOI: 10.1109/GLOCOM.2016.7841867 https://ieeexplore.ieee.org/document/7841867

Joao Nadas, Paulo Klaine, Lei Zhang, Guodong Zhao, Muhammad Imran and Richard Souza. Performance Analysis of Early-HARQ for Finite Block-Length Packet Transmission. In: IEEE International Conference on Industrial CyberPhysical Systems (ICPS 2019), Taipei, Taiwan, 06-09 May 2019, pp. 391- 396. ISBN 9781538685006, doi:10.1109/ICPHYS.2019.8780207 http://eprints.gla.ac.uk/181818/7/181818.pdf

Behrooz Makki; Tommy Svensson; Michele Zorzi. Finite Block-Length Analysis of the Incremental Redundancy HARQ.: IEEE Wireless Communications Letters (Volume: 3, Issue: 5, Oct. 2014. Page(s): 529 – 532. DOI: 10.1109/LWC.2014.2353059. https://ieeexplore.ieee.org/document/6888474

Derya Malak, Ohad Elishco, and Muriel Medard. Throughput and Delay Analysis for Coded ARQ: 2019 International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOPT). Avignon, France, DOI: 10.23919/ WiOPT47501.2019.9144112 https://ieeexplore.ieee.org/document/9144112

Ali Chelli, Emna Zedini, Mohamed-Slim Alouini, John R. Barry and Matthias Pätzold. Performance and Delay Analysis of Hybrid ARQ With Incremental Redundancy Over Double Rayleigh Fading Channels. : IEEE Transactions on Wireless Communications (Volume: 13 , Issue: 11 , Nov. 2014 ) DOI: 10.1109/TWC.2014.2348561 https://ieeexplore.ieee.org/document/6879267

Imran Latif; Florian Kaltenberger; Raymond Knopp; Joan Olmos. Link abstraction for variable bandwidth with incremental redundancy HARQ in LTE. "2013 11th International Symposium and Workshops on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt): took place May 13-17, 2013, in Tsukuba Science City, Japan ". Tsukuba: Institute of Electrical and Electronics Engineers (IEEE), 2013, p. 23-28. https://ieeexplore.ieee.org/abstract/document/6576401

Raffaele Bruno, Antonino Masaracchia, Andrea Passarella and Stefano Mangione. Analysis of MAC-level Throughput in LTE Systems with Link Rate Adaptation and HARQ Protocols. 2015 IEEE 16th International Symposium on A World of Wireless, Mobile and Multimedia Networks (WoWMoM) Boston, MA, USA, DOI:10.1109/WoWMoM.2015.7158162 https://ieeexplore.ieee.org/document/7158162

D. Mahjabeen, M. Rashid, & S. Mohamed "Network Quality Assesment of Wireless Communication Based on Mobility Issue," JOIV: International Journal on Informatics Visualization, vol. 2, no. 4-2, pp. 354 - 359, Sep. 2018. https://doi.org/10.30630/joiv.2.4-2.178

C. Amali, B. Ramachandran “Enabling Key Technologies and Emerging Research Challenges Ahead of 5G Networks: An Extensive Survey†JOIV: International Journal on Informatics Visualization, Vol 2, no 3, pp. 133 - 146, 2018. DOI: http://dx.doi.org/10.30630/joiv.2.3.128

B. Singh, Z. Li, O. Tirkkonen, M.A. Uusitalo, and P. Mogensen, “Ultra-Reliable Communication in a Factory Environment for 5G Wireless Networks: Link Level and Deployment Studyâ€. IEEE 27th Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), 2016, 194-198. DOI: 10.1109/PIMRC.2016.7794586

O. Temitope, Takpor and Francis, E. Idachaba, Members, IAENG, “Analysis and Simulation of LTE Downlink and Uplink Transceiverâ€, Proceedings of the World Congress on Engineering, vol.1,2014. http://eprints.covenantuniversity.edu.ng/id/eprint/3165

Y. Y. Kolyadenko, A. M. Alali, “The Efficiency Analysis of the Scheduling Algorithms of Frame Transmission over LTE Networkâ€, Radio Electronics,Computer Science, Control. no 1 (32), 2015, 7-14. DOI: 10.15588/1607-3274-2015-1-1

Y. Y. Kolyadenko. “Analysis of the influence of Intersystem Interference on LTE network bandwidthâ€, Materials of the First International Scientific and Technical Conference "The electromagnetic compatibility issues of promising wireless communication networks EMC-2015†Kharkov, 2015 90-92. https://orcid.org/0000-0002-0247-2736

J. Milo and S. Hanus, “Performance Analysis of PCFICH and PDCCH LTE Control Channels†Radioengineering, vol. 23 № 1, 2014, 445–451. DOI: http://hdl.handle.net/11012/36438

M. Woltering, D. Wubben, A. Dekorsy, V. Braun, U. Doetsch, “Link Level Performance Assessment of Reliability-Based HARQ Schemes in LTEâ€, VTC Spring, IEEE 79th, 2014, pp. 1-5, 18-21. DOI: 10.1109/VTCSpring.2014.7022973

J. Milos, S. Hanus, “Analysis of LTE Physical Hybrid ARQ Control Channelâ€, Advances in Electrical and Computer Engineering, vol. 14, no 2, 2014, 97-100. DOI: 10.4316/AECE.2014.02016

Ching-Hsiang Chuag, Phone Lin, “Performance study for HARQ-ARQ interaction of LTEâ€, Wireless Communications & Mobile Computing, vol. 10, Issue 11, 2010, 1459-1469. DOI: 10.1002/wcm.834

J. Colom Ikuno, M. Wrulich, M.Rupp. “Performance and Modeling of LTE H-ARQâ€, International ITG Workshop on Smart Antennas (WSA 2009), Berlin, Germany, 2009, 1-6.

A. Chelli, E. Zedini, M. Alouini, M. Patzold, I. Balasingham, “Throughput and Delay Analysis of HARQ with Code Combining over Double Rayleigh Fading Channelsâ€, IEEE Transaction on Vehicular Technology, vol. 67, Issue: 5, 2018. DOI: 10.1109/TVT.2018.2794183.

H. Shariatmadari, S. Iraji, Z. Li, M. A. Uusitalo, and R. Jantti, “Optimized transmission and resource allocation strategies for ultra-reliable communicationsâ€, in Proc. PIMRC (IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications workshops), 2016, 1454-1459 DOI:10.1109/PIMRC.2016.7794801

D. Malak, H. Huang, and J. G. Andrews, “Throughput Maximization for Delay-Sensitive Random-Access Communication,†IEEE Transactions on Wireless Communications, vol. 18, Issue: 1, 2019, 709-723. DOI: 10.1109/TWC.2018.2885295

M. Chen, A. Huang, and L. Xie, “Power synergy to enhance DCI reliability for OFDM-based mobile system optimizationâ€, 2014 IEEE Global Communications Conference, 2014, 4870–4876. DOI: 10.1109/GLOCOM.2014.7037577.