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Massive MIMO (multiple-input multiple-output) detection is an important topic in wireless communication and various machine learning based methods have been developed recently for this task. Expectation Propagation (EP) and its variants are…

Machine Learning · Computer Science 2024-09-06 Qincheng Lu , Sitao Luan , Xiao-Wen Chang

In this paper, new exact and approximate moment generating functions (MGF) expression for generalized fading models are derived. Specifically, we consider the ${\eta}-{\lambda}-{\mu}$, ${\alpha}-{\mu}$, ${\alpha}-{\eta}-{\mu}$,…

Information Theory · Computer Science 2017-03-14 Ehab Salahat , Ali Hakam , Nazar Ali , Ahmed Kulaib

The performance of linear receivers in the presence of co-channel interference in Rayleigh channels is a fundamental problem in wireless communications. Performance evaluation for these systems is well-known for receive arrays where the…

Information Theory · Computer Science 2016-11-17 Dushyantha A. Basnayaka , Peter J. Smith , Philippa A. Martin

The entire form of the amplitude of three SYM ( involving two transverse scalar fields, a gauge field) and a potential $C_{n-1}$ Ramond-Ramond (RR) form field is found out. We first derive $<V_{C^{-2}} V_{A^{0}} V_{\phi ^{0}} V_{\phi…

High Energy Physics - Theory · Physics 2016-09-02 Ehsan Hatefi

The capacity of a deterministic multiple-input multiple-output (MIMO) channel under the peak and average power constraints is investigated. For the identity channel matrix, the approach of Shamai et al. is generalized to the higher…

Information Theory · Computer Science 2016-09-29 Borzoo Rassouli , Bruno Clerckx

We consider the design of multiuser constellations for a multiple access channel (MAC) with K users, with M antennas each, that transmit simultaneously to a receiver equipped with N antennas through a Rayleigh block-fading channel, when no…

Information Theory · Computer Science 2022-09-05 Javier Álvarez-Vizoso , Diego Cuevas , Carlos Beltrán , Ignacio Santamaria , Vit Tucek , Gunnar Peters

While message-passing neural networks (MPNNs) have shown promising results, their real-world impact remains limited. Although various limitations have been identified, their theoretical foundations remain poorly understood, leading to…

Machine Learning · Computer Science 2026-02-05 Andreas Roth

In this paper, we propose a multiple-input multipleoutput (MIMO) transmission strategy that is closer to the Shannon limit than the existing strategies. Different from most existing strategies which only consider uniformly distributed…

Information Theory · Computer Science 2021-07-01 Jie Feng , Biqian Feng , Yongpeng Wu , Li Shen , Wenjun Zhang

We study a higher-order Painlev\'{e}-type equation, arising as a string equation of the $3^{rd}$ order reduction of the KP hierarchy. This equation appears at the multi-critical point of the $2$-matrix model with quartic interactions, and…

Mathematical Physics · Physics 2025-06-17 Nathan Hayford

Spatial Modulation (SM) is a technique that can enhance the capacity of MIMO schemes by exploiting the index of transmit antenna to convey information bits. In this paper, we describe this technique, and present a new MIMO transmission…

Systems and Control · Computer Science 2012-04-09 Rajab M. Legnain , Roshdy H. M. Hafez , Abdelgader M. Legnain

In this correspondence the cumulants of the mutual information of the flat Rayleigh fading amplify-and-forward MIMO relay channel without direct link between source and destination are derived in the large array limit. The analysis is based…

Information Theory · Computer Science 2007-07-13 Joerg Wagner , Boris Rankov , Armin Wittneben

We study the Shannon entropy of the probability distribution resulting from the ground-state wave function of a one-dimensional quantum model. This entropy is related to the entanglement entropy of a Rokhsar-Kivelson-type wave function…

Strongly Correlated Electrons · Physics 2009-11-25 Jean-Marie Stéphan , Shunsuke Furukawa , Grégoire Misguich , Vincent Pasquier

Shannon-Hartley theorem can accurately calculate the channel capacity when the signal observation time is infinite. However, the calculation of finite-time capacity, which remains unknown, is essential for guiding the design of practical…

Information Theory · Computer Science 2021-12-17 Jieao Zhu , Zijian Zhang , Zhongzhichao Wan , Linglong Dai

The extension of the Painlev\'e-Calogero coorespondence for n-particle Inozemtsev systems raises to the multi-particle generalisations of the Painlev\'e equations which may be obtained by the procedure of Hamiltonian reduction applied to…

Mathematical Physics · Physics 2020-01-28 Ilia Gaiur , Vladimir Rubtsov

We study the determinant $\det(I-K_{\textnormal{PII}})$ of an integrable Fredholm operator $K_{\textnormal{PII}}$ acting on the interval $(-s,s)$ whose kernel is constructed out of the $\Psi$-function associated with the Hastings-McLeod…

Mathematical Physics · Physics 2012-11-06 Thomas Bothner , Alexander Its

The incomplete moment generating function (IMGF) has paramount relevance in communication theory, since it appears in a plethora of scenarios when analyzing the performance of communication systems. We here present a general method for…

Information Theory · Computer Science 2024-10-30 F. J. Lopez-Martinez , J. M. Romero-Jerez , J. F. Paris

In this paper, for the first time, we propose two new solutions to boost the data rate between small connected objects such as glasses and cams and the 5th generation (5G) mobile network, based on spatial modulation, single carrier…

In this work, we investigate the possibility to address the excess observed around 95 GeV in the $\gamma\gamma$, $\tau\tau$, and $b\bar{b}$ channels as a scalar resonance(s) within the Georgi-Machacek (GM) model. In our analysis, we find…

High Energy Physics - Phenomenology · Physics 2024-08-13 Amine Ahriche

In the monograph Kounchev, O. I., Multivariate Polysplines. Applications to Numerical and Wavelet Analysis, Academic Press, San Diego-London, 2001, and in the paper Kounchev O., Render, H., Cardinal interpolation with polysplines on annuli,…

Numerical Analysis · Mathematics 2008-10-01 Ognyan Kounchev , Hermann Render

Let $\Gamma\subset \textrm{PSL}_2({\mathbb R})$ be a Fuchsian group of the first kind having a fundamental domain with a finite hyperbolic area, and let $\widetilde\Gamma$ be its cover in $\textrm{SL}_2({\mathbb R})$. Consider the space of…

Number Theory · Mathematics 2020-02-24 Yasemin Kara , Moni Kumari , Jolanta Marzec , Kathrin Maurischat , Andreea Mocanu , Lejla Smajlović
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