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Many models and real complex systems possess critical thresholds at which the systems shift from one sate to another. The discovery of the early warnings of the systems in the vicinity of critical point are of great importance to estimate…

Statistical Mechanics · Physics 2017-02-08 Longfeng Zhao , Wei Li , Chunbin Yang , Jihui Han , Zhu Su , Yijiang Zou , Xu Cai

Affine frequency division multiplexing (AFDM) has recently emerged as an excellent backward-compatible 6G waveform. In this paper, we study matched filtering (MF) assisted channel estimation (CE) for AFDM systems in complex doubly selective…

Signal Processing · Electrical Eng. & Systems 2026-02-18 Xiangjun Li , Zilong Liu , Zhengchun Zhou , Pingzhi Fan

We develop two generalizations of contraction theory, namely, semi-contraction and weak-contraction theory. First, using the notion of semi-norm, we propose a geometric framework for semi-contraction theory. We introduce matrix…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Saber Jafarpour , Pedro Cisneros-Velarde , Francesco Bullo

Fast Radio Bursts (FRBs) are millisecond-duration radio transients of extragalactic origin. Classifying repeating FRBs is essential for understanding their emission mechanisms, but remains challenging due to their short durations, high…

High Energy Astrophysical Phenomena · Physics 2026-01-23 An-Chieh Hsu , Tetsuya Hashimoto , Tomotsugu Goto , Tomoki Wada , Bjorn Jasper Raquel

This paper analyzes the unified performance of energy detection (ED) of spectrum sensing (SS) over generalized fading channels in cognitive radio (CR) networks. The detective performance of SS schemes will be obviously affected by fading…

Information Theory · Computer Science 2018-01-01 He Huang , Chaowei Yuan

The physics of turbulence in magnetized plasmas remains an unresolved problem. The most poorly understood aspect is intermittency -- spatio-temporal fluctuations superimposed on the self-similar turbulent motions. We employ a novel…

High Energy Astrophysical Phenomena · Physics 2025-05-21 Trung Ha , Joonas Nättilä , Jordy Davelaar , Lorenzo Sironi

We present a novel analytical framework for the evaluation of important second order statistical parameters, as the level crossing rate (LCR) and the average fade duration (AFD) of the amplify-and-forward multihop Rayleigh fading channel.…

Information Theory · Computer Science 2009-08-26 Zoran Hadzi-Velkov , Nikola Zlatanov , George K. Karagiannidis

Affine frequency division multiplexing (AFDM) is a recently proposed communication waveform for time-varying channel scenarios. As a chirp-based multicarrier modulation technique it can not only satisfy the needs of multiple scenarios in…

Signal Processing · Electrical Eng. & Systems 2024-01-01 Jiajun Zhu , Yanqun Tang , Xizhang Wei , Haoran Yin , Jinming Du , Zhengpeng Wang , Yuqinng Liu

This thesis is concerned with ground state properties of two-dimensional fermionic superfluids, in which fluctuation effects like the renormalization of the order parameter or infrared singularities are important. In the superfluid state,…

Strongly Correlated Electrons · Physics 2014-07-30 Andreas Eberlein

Fluctuation-Dissipation Relations (FDR) for a Maxwell fluid are computed via the GENERIC formalism. This formalism is determined by four building blocks, two ``potentials'' (total energy and entropy) and two ``matrices'' which determine the…

Fluid Dynamics · Physics 2007-05-23 F. Vazquez , M. A. Olivares-Robles , S. Delgado

The $\alpha$-$\eta$-$\kappa$-$\mu$ is one of the most generalized and flexible channel models having an excellent fit to experimental data from diverse propagation environments. The existing statistical results on the envelope of…

Information Theory · Computer Science 2023-06-13 Pranay Bhardwaj , Eesha Santosh Karnawat , S. M. Zafaruddin

Dispersion of a passive scalar from concentrated sources in fully developed turbulent channel flow is studied with the probability density function (PDF) method. The joint PDF of velocity, turbulent frequency and scalar concentration is…

Fluid Dynamics · Physics 2010-03-24 J. Bakosi , P. Franzese , Z. Boybeyi

A major performance degrading factor in free space optical communication (FSO) systems is atmospheric turbulence. Spatial diversity techniques provide a promising approach to mitigate turbulence-induced fading. In this paper, we study the…

Information Theory · Computer Science 2015-02-03 Mohmmadreza Aminikashani , Murat Uysal , Mohsen Kavehrad

Generative modeling has recently undergone remarkable advancements, primarily propelled by the transformative implications of Diffusion Probabilistic Models (DPMs). The impressive capability of these models, however, often entails…

Machine Learning · Computer Science 2023-10-03 Gongfan Fang , Xinyin Ma , Xinchao Wang

Systems with strong electronic Coulomb correlations often display rich phase diagrams exhibiting different ordered phases involving spin, charge, or orbital degrees of freedom. The theoretical description of the interplay of the…

Strongly Correlated Electrons · Physics 2024-01-09 E. Linnér , A. I. Lichtenstein , S. Biermann , E. A. Stepanov

In [1], we introduced a new, matrix algebraic, performance analysis framework for wireless systems with fading channels based on the matrix exponential distribution. The main idea was to use the compact, powerful, and easy-to-use, matrix…

Information Theory · Computer Science 2016-12-21 Peter Larsson , Lars K. Rasmussen , Mikael Skoglund

In this work, we examine the performance of selective-decode and forward (S-DF) relay systems over kappa-mu fading channel condition. We discuss about the probability density function (PDF), system model, and cumulative distribution…

Networking and Internet Architecture · Computer Science 2020-01-07 Ravi Shankar , Lokesh Bhardwaj , Ritesh Kumar Mishra

Modal relaxation dynamics has been observed experimentally to clarify statistical-physical properties of soft-mode turbulence, the spatiotemporal chaos observed in homeotropically aligned nematic liquid crystals. We found a dual structure,…

In this paper, the statistical properties of the product of independent and non-identically distributed mixture Gamma (MG) random variables (RVs) are provided first. Specifically, simple exact closed-form expressions for the probability…

Information Theory · Computer Science 2023-03-07 Hussien Al-Hmood , Rafed Sabbar Abbas , H. S. Al-Raweshidy

Diffusion models generate highly realistic images by learning a multi-step denoising process, naturally embodying the principles of multi-task learning (MTL). Despite the inherent connection between diffusion models and MTL, there remains…

Computer Vision and Pattern Recognition · Computer Science 2024-02-22 Byeongjun Park , Sangmin Woo , Hyojun Go , Jin-Young Kim , Changick Kim
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