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This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of…

最优化与控制 · 数学 2019-02-20 Iasson Karafyllis , Miroslav Krstic

This paper introduces a new two-dimensional modulation technique called Orthogonal Time Frequency Space (OTFS) modulation. OTFS has the novel and important feature of being designed in the delay-Doppler domain. When coupled with a suitable…

In this paper, a comparative study is done on the time and frequency domain tuning strategies for fractional order (FO) PID controllers to handle higher order processes. A new fractional order template for reduced parameter modeling of…

系统与控制 · 计算机科学 2012-02-28 Saptarshi Das , Suman Saha , Shantanu Das , Amitava Gupta

Orthogonal Time Frequency Space (OTFS) modulation has been recently proposed to be robust to channel induced Doppler shift in high mobility wireless communication systems. However, to the best of our knowledge, none of the prior works on…

信息论 · 计算机科学 2024-10-30 Saif Khan Mohammed

A grid-overlay finite difference method is proposed for the numerical approximation of the fractional Laplacian on arbitrary bounded domains. The method uses an unstructured simplicial mesh and an overlay uniform grid for the underlying…

数值分析 · 数学 2024-04-08 Weizhang Huang , Jinye Shen

This paper introduces FANTF (Fuzzy Attention Network-Based Transformers), a novel approach that integrates fuzzy logic with existing transformer architectures to advance time series forecasting, classification, and anomaly detection tasks.…

机器学习 · 计算机科学 2025-04-02 Sanjay Chakraborty , Fredrik Heintz

This paper is devoted to a discussion of the Discrete Fourier Transform (DFT) representation of a chaotic finite-duration sequence. This representation has the advantage that is itself a finite-duration sequence corresponding to samples…

混沌动力学 · 物理学 2007-05-23 Carlos R. Fadragas , Juan V. Lorenzo-Ginori , Ruben Orozco-Morales

The performance of single image super-resolution depends heavily on how to generate and complement high-frequency details to low-resolution images. Recently, diffusion-based DDPM models exhibit great potential in generating high-quality…

计算机视觉与模式识别 · 计算机科学 2025-09-29 Xingjian Wang , Li Chai , Jiming Chen

The orthogonal delay-Doppler (DD) division multiplexing (ODDM) modulation has recently been proposed as a promising solution for ensuring reliable communications in high mobility scenarios. In this work, we investigate the time-frequency…

信号处理 · 电气工程与系统科学 2024-10-28 Akram Shafie , Jinhong Yuan , Nan Yang , Hai Lin

This paper proposes a novel fault detection and isolation (FDI) scheme for distributed parameter systems modeled by a class of parabolic partial differential equations (PDEs) with nonlinear uncertain dynamics. A key feature of the proposed…

系统与控制 · 电气工程与系统科学 2022-03-31 Jingting Zhang , Chengzhi Yuan , Wei Zeng , Cong Wang

In this research work, let us focus on the construction of numerical scheme based on radial basis functions finite difference (RBF-FD) method combined with the Laplace transform for the solution of fractional order dispersive wave…

数值分析 · 数学 2025-08-15 Hameed Ullah Jan , Marjan Uddin , Irshad Ali Shah , Salam Ullah Khan

Causal inference in spatio-temporal settings is critically hindered by unmeasured confounders with complex spatio-temporal dynamics and the prevalence of multi-resolution data. While diffusion models present a promising avenue for…

机器学习 · 统计学 2026-04-07 Xinwen Liu , Lei Qian , Song Xi Chen , Niansheng Tang

We present a study of the influence of dispersion induced phase noise for CO-OFDM systems using FFT multiplexing/IFFT demultiplexing techniques (software based). The software based system provides a method for a rigorous evaluation of the…

信息论 · 计算机科学 2016-07-22 Gunnar Jacobsen , Tianhua Xu , Sergei Popov , Sergey Sergeyev , Yimo Zhang

Spontaneous time-reversal symmetry breaking in superconductors with competing non-degenerate pairing channels is an exotic quantum phase transition that could give rise to robust topological superconductivity and unusual magnetism. It is…

超导电性 · 物理学 2026-04-03 Yin Shi

We investigate the full functional form of the first passage time density (FPTD) of a tracer particle in a single-file diffusion (SFD) system whose population is: (i) homogeneous, i.e., all particles having the same diffusion constant and…

生物物理 · 物理学 2012-05-10 Lloyd P. Sanders , Tobias Ambjornsson

We derive the asymptotic first passage time (FPT) distribution for space-dependent variable-order time-fractional diffusion, where the fractional exponent $\alpha(x)$ varies with position. For any sufficiently smooth $\alpha(x)$ on a finite…

统计力学 · 物理学 2026-04-16 Wancheng Li , Daniel S. Han

Affine Frequency Division Multiplexing (AFDM), a new chirp-based multicarrier waveform for high mobility communications, is introduced here. AFDM is based on discrete affine Fourier transform (DAFT), a generalization of discrete Fourier…

信息论 · 计算机科学 2022-05-04 Ali Bemani , Nassar Ksairi , Marios Kountouris

This paper proposes a novel modulation technique called globally filtered orthogonal time frequency space (GF-OTFS) which integrates single-carrier frequency division multiple access (SC-FDMA)-based delay-Doppler representation with…

信号处理 · 电气工程与系统科学 2025-01-24 Jialiang Zhu , Mohsen Bayat , Arman Farhang

In this work, a novel superimposed pilot scheme, named superimposed cross-pilots, is proposed for fractional parameter estimation in multi-antenna orthogonal time frequency space (OTFS) receivers. Assuming a large uniform linear array (ULA)…

信号处理 · 电气工程与系统科学 2026-05-05 Mauro Marchese , Pietro Savazzi

In this work, we study the time-frequency (TF) localization characteristics of the prototype pulse of orthogonal delay-Doppler (DD) division multiplexing modulation, namely, the DD plane orthogonal pulse (DDOP). The TF localization…

信号处理 · 电气工程与系统科学 2024-12-19 Akram Shafie , Jinhong Yuan , Nan Yang , Hai Lin