?
Packet Level Performance of 5G NR System Under Blockage and Micromobility Impairments
IEEE Access. 2023. Vol. 11. P. 90383–90395.
Khayrov E., Yevgeni Koucheryavy
With the introduction of the Integrated Access and Backhaul (IAB) technology by 3GPP, the last mile in beyond 5G cellular systems will be characterized by multiple wireless backhaul links between the user equipment and base station. In such multi-hop configurations, packet latency becomes a dominant factor characterizing the quality of service (QoS) delivered to the users. At the same time, directional communications at millimeter wave (mmWave) frequencies are prone to frequent outages caused by blockage and micromobility leading to periods of silence and subsequent rate compensation. In this paper, we are interested in assessing the impact of mmWave propagation specifics on the delay and medium access control (MAC) buffer overflow performance at a 5G NR IAB network node. To this aim, we first propose a continuous-time Markov chain model for the bitrate provided by such a system that explicitly accounts for mmWave-specific propagation. Then, by formulating a queuing model of packet transmission, we characterize the mean packet delay experienced by a traffic source. Our results illustrate that the mean delay and MAC buffer overflow probability at the NR BS interface is a step function that is not strictly decreasing due to the packet encapsulation specifics of the modulation and coding (MCS) adaptation mechanism. Further, these metrics are non-negligible even for the system having a sufficient amount of resources. For IAB architecture, where the access link may not be available the mean delay increases exponentially even when the arrival rate is adjusted to the available resources.
Language:
English
Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146
Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...
Added: September 3, 2026
Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...
Added: September 1, 2026
Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026
We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...
Added: September 1, 2026
Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187
Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems.
Motivated by relaxing the bound dim(F)+1 to dim(F), we ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69
We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...
Added: August 31, 2026
Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.
Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...
Added: August 31, 2026
Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786
Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162
We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99
We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...
Added: August 30, 2026
Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211
We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...
Added: August 30, 2026
Polishchuk A., Rains E., Journal of the Institute of Mathematics of Jussieu 2026 Vol. 25 No. 1 P. 339–373
We prove that for every relatively prime pair of integers (d,r) with r>0, there exists an exceptional pair (O,V) on any del Pezzo surface of degree 4, such that V is a bundle of rank r and degree d. As an application, we prove that every Feigin-Odesskii Poisson bracket on a projective space can be ...
Added: August 30, 2026
Kazhdan D., Polishchuk A., Pure and Applied Mathematics Quarterly 2026 Vol. 22 No. 3 P. 1115–1166
We continue the study of automorphic functions associated with a curve C over the ring k[ε]/(ε²), where k is a finite field, begun in arXiv:2303.16259. Namely, we study an example of theta-lifting in this framework and show that it can be understood in terms of the orbit decomposition of the space of automorphic functions S(SL₂(F)\SL₂(A_C)) ...
Added: August 30, 2026
Kuznetsov A. P., Sataev I. R., Stankevich N., Chaos 2026 Vol. 36 No. 8 Article 083131
A radio-physical system, namely, a two-mode van der Pol generator, is considered. It is shown that this system demonstrates two types of chaos: with one and two zero Lyapunov exponents. The regions of the second type of chaos are surrounded by bifurcation lines of invariant tori doubling. Quasi-periodic structures of various shapes are embedded within ...
Added: August 30, 2026
Shirokov N. A., Rozenblum G., Israel Journal of Mathematics 2026 P. 1–30
We establish that a generalized H\¨older continuous function on an (m−2)-Ahlfors regular compact set in Rm can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function ...
Added: August 29, 2026
Eduard Sopin, Nazarin A., Begishev V. et al., IEEE Transactions on Vehicular Technology 2026 Vol. 75 No. 6 P. 10995–11007
Aimed at rate-greedy applications having extreme requirements for the data rate at the air interface, 5G New Radio (NR) systems may experience problems when the number of user equipment (UE) in the coverage of the cell increases due to limited capacity of the physical downlink control channel (PDCCH).The aim of this study is to explore ...
Added: August 26, 2026
Beschastnyi V., Ershova M., Ostrikova D. et al., IEEE Access 2025 Vol. 13 P. 174797–174814
Blockage of propagation paths between the base station (BS) and user equipment (UE), as well as the micromobility of the UE, are known to be critical phenomena affecting the performance of 6G subterahertz/terahertz (sub-THz/THz, 0.1–0.3/0.3–3 THz) cellular systems. The development of functions that target the performance improvement of such systems requires understanding of the dynamics ...
Added: October 21, 2025
Смирнов И. А., В кн.: Сборник научных трудов по материалам XX Международной научно-практической конференции «УСТОЙЧИВОЕ РАЗВИТИЕ ОБЩЕСТВА: НОВЫЕ НАУЧНЫЕ ПОДХОДЫ И ИССЛЕДОВАНИЯ» (шифр – МУРО) от 08.07.2025.: М.: [б.и.], 2025. С. 105–113.
The study is devoted to assessing the effectiveness of measures to reduce cyber risks in 5G networks. The key vulnerabilities and threats arising from the development of artificial intelligence technologies, big data analysis, the Internet of Things and robotics are considered. The architecture of 5G networks is analyzed, the main cybersecurity threats are identified and ...
Added: September 7, 2025
Ivan A. Smirnov, Koucheryavy E., Elektrotehniski Vestnik/Electrotechnical Review 2025 Vol. 92 No. 3 P. 104–114
Abstract. The 5G communication networks have been destined to become one of the pillars of the digital economy, driven by artificial intelligence (AI), machine learning (ML), Big Data, Internet of Things (IoT) and robotization. The 5G networks have inherited many vulnerabilities from the preceding systems. In this regard, the issue of a proper information security ...
Added: April 28, 2025
Матвеев Н. В., Tyurlikov A., Н. Л. et al., Информационно-управляющие системы 2019 № 6 С. 54–67
Introduction: Intensive research is currently underway in the field of data transmission systems for the Internet of Things in relation to various scenarios of Massive Machine Type Communication. The presence of a large number of devices in such systems necessitates the use the methods of random multiple access to a common communication channel. It is ...
Added: November 18, 2024
Zhivtsova A., Beschastnyi V., Koucheryavy E. et al., IEEE Access 2024 Vol. 12 P. 118565–118586
Integrated Access and Backhaul (IAB) is expected to become a key part of the 5G and future cellular systems enabling cost-controlled network densification. IAB relies upon multi-hop relaying, which makes delay a critical factor, especially for the half-duplex operational regime where only a subset of access and backhaul links can be scheduled simultaneously. Numerous dynamic ...
Added: November 15, 2024
Koucheryavy E., Beschastnyi V., Ostrikova D. et al., Computer Networks 2024 Vol. 254
The recently standardized reduced capability (RedCap) type of user equipment (UE) for 5G New Radio (NR) systems offers a useful option for energy-constrained devices. By utilizing a combination of discontinuous reception (DRX), wake-up signal (WUS), and radio resource management (RRM) relaxation functions, RedCap UE may provide excellent power efficiency for a large set of applications. ...
Added: November 15, 2024
Prikhodko A., Khakimov A., Mokrov E. et al., Lecture Notes in Computer Science 2024 Vol. 14123 P. 423–434
The future 6G cellular systems are expected to utilize the lower part of the terahertz frequency band, 100–300 GHz. As a result of high path losses, the coverage of such systems will be limited to a few tens of meters making them suitable for indoor environments. As compared to outdoor deployments, indoor usage of THz systems ...
Added: September 25, 2024
Khayrov E., , in: 23rd International Conference, NEW2AN 2023, and 16th Conference, ruSMART 2023, Dubai, United Arab Emirates, December 21–22, 2023, Proceedings, Part II. Internet of Things, Smart Spaces, and Next Generation Networks and Systems. LNCS, volume 14543.: Springer, 2024. Ch. 12 P. 142–154.
The fifth and sixth (5G/6G) generations of cellular systems utilizing the millimeter wave (mmWave, 30–100 GHz) and sub-terahertz (sub-THz, 100–200 GHz) bands are known to be affected by blockage and micromobility phenomena. These effects make the channel highly time-varying in terms of the number of packets that can be serviced in a single scheduling unit. ...
Added: September 18, 2024