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Parallel, additive white Gaussian noise (AWGN) channels with an average sum power constraint are considered. It is shown how the waterfilling Shannon capacity can be approached by higher order modulation and probabilistic amplitude shaping…

Information Theory · Computer Science 2018-04-06 Fabian Steiner , Georg Böcherer , Patrick Schulte

Non-conventional beyond-the-state-of-the-art signal processing schemes require parallelism, scalability, robustness and energy efficiency to meet the demands of complex data-driven applications. With further research, magnonic and…

Applied Physics · Physics 2025-10-07 A. Koujok , A. Hamadeh , L. Martins , F. Kohl , B. Heinz , U. Ebels , P. Pirro

In order to ensure the fastest wireless energy transfer from a source to the user one needs to maximize the channel capacity for power transport. In communications technologies, the concept of MIMO (multiple input, multiple output) exploits…

Classical Physics · Physics 2016-12-21 Constantinos A. Valagiannopoulos , Sergei A. Tretyakov

The modern version of conformal matrix model (CMM) describes conformal blocks in the Dijkgraaf-Vafa phase. Therefore it possesses a determinant representation and becomes a Toda chain $\tau$-function only after a peculiar Fourier transform…

High Energy Physics - Theory · Physics 2019-10-30 A. Mironov , A. Morozov , Z. Zakirova

Extremely large-scale multiple-input multiple-output (XL-MIMO) communications correspond to systems whose antenna size is so large that conventional assumptions, such as uniform plane wave (UPW) impingement, are no longer valid. This paper…

Information Theory · Computer Science 2020-11-02 Haiquan Lu , Yong Zeng

Synthetic antiferromagnets (SAFs) consist of two ferromagnetic layers that are antiferromagnetically coupled. These systems support complex dynamical magnetic excitations, where interlayer coupling gives rise to both in-phase (acoustic) and…

Mesoscale and Nanoscale Physics · Physics 2025-09-26 Dirk Backes

We study a multiple-input multiple-output (MIMO) multiple access channel (MAC) from several multi-antenna transmitters to a multi-antenna receiver. The fading channels between the transmitters and the receiver are modeled by random…

Information Theory · Computer Science 2011-05-04 Jakob Hoydis , Romain Couillet , Merouane Debbah

We consider the Hankel determinant generated by the Gaussian weight with two jump discontinuities. Utilizing the results of [C. Min and Y. Chen, Math. Meth. Appl. Sci. {\bf 42} (2019), 301--321] where a second order PDE was deduced for the…

Mathematical Physics · Physics 2020-06-16 Shulin Lyu , Yang Chen

Massive multiple-input multiple-output (MIMO) is becoming a mature technology, and has been approved for standardization in the 5G ecosystem. Although there is a large body of papers on the theoretical analysis of massive MIMO, the majority…

Signal Processing · Electrical Eng. & Systems 2018-11-13 Michail Matthaiou , Hien Quoc Ngo , Peter J. Smith , Harsh Tataria , Shi Jin

Doubly-selective channels, such as those that occur when the transmitter and the receiver move relative to each other at high speeds, are a key scenario for fifth generation (5G) cellular systems, which are mostly based in the use of the…

Signal Processing · Electrical Eng. & Systems 2024-01-30 Tomás Domínguez-Bolaño , José Rodríguez-Piñeiro , José A. García-Naya , Luis Castedo

Today, MIMO has become an indispensable scheme for providing significant spectral efficiency in wireless communication and for future wireless system, recently, it goes to two extremes: massive MIMO and single-RF MIMO. This paper, which is…

Information Theory · Computer Science 2015-01-09 Seung-Eun Hong , Kyoung-Sub Oh

We study the Fredholm determinant of an integrable operator acting on the interval $(0,s)$ whose kernel is constructed out of a hierarchy of higher order analogues to the Painlev\'{e} III equation. This Fredholm determinant describes the…

Mathematical Physics · Physics 2018-02-09 Dan Dai , Shuai-Xia Xu , Lun Zhang

We consider the classical AWGN channel where the channel input is constrained to an amplitude constraint that stochastically varies at each channel use, independent of the message. This is an abstraction of an energy harvesting transmitter…

Information Theory · Computer Science 2012-01-24 Omur Ozel , Sennur Ulukus

Using the intertwining matrix of the IRF-Vertex correspondence we propose a determinant representation for the generating function of the commuting Hamiltonians of the double elliptic integrable system. More precisely, it is a ratio of the…

Mathematical Physics · Physics 2021-03-10 A. Grekov , A. Zotov

[Background] Giant resonance (GR) is a typical collective mode of vibration. The deformation splitting of the isovector (IV) giant dipole resonance is well established. However, the splitting of GRs with other multipolarities is not well…

Nuclear Theory · Physics 2021-10-13 Kenichi Yoshida

Strategies to model the inspiral, merger and ringdown gravitational waveform of coalescing binaries are restricted in parameter space by the coverage of available numerical-relativity simulations. When more numerical waveforms become…

General Relativity and Quantum Cosmology · Physics 2019-01-10 Yoshinta Eka Setyawati , Frank Ohme , Sebastian Khan

The discrete nature of transmitted symbols poses challenges for achieving optimal detection in multiple-input multiple-output (MIMO) systems associated with a large number of antennas. Recently, the combination of two powerful machine…

Signal Processing · Electrical Eng. & Systems 2024-12-11 Xingyu Zhou , Le Liang , Jing Zhang , Chao-Kai Wen , Shi Jin

We prove that the distribution function of the largest eigenvalue in the Gaussian Unitary Ensemble (GUE) in the edge scaling limit is expressible in terms of Painlev\'e II. Our goal is to concentrate on this important example of the…

solv-int · Physics 2007-05-23 Craig A. Tracy , Harold Widom

We present a unified model for connected antenna arrays with a large number of tightly integrated (i.e., coupled) antennas in a compact space within the context of massive multiple-input multiple-output (MIMO) communication. We refer to…

Information Theory · Computer Science 2023-05-09 Mohamed Akrout , Volodymyr Shyianov , Faouzi Bellili , Amine Mezghani , Robert W. Heath

In this paper, the average symbol error probability (SEP) of a phase-quantized single-input multiple-output (SIMO) system with M-ary phase-shift keying (PSK) modulation is analyzed under Rayleigh fading and additive white Gaussian noise. By…

Signal Processing · Electrical Eng. & Systems 2026-04-08 Amila Ravinath , Minhua Ding , Bikshapathi Gouda , Italo Atzeni , Antti Tölli
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