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Band-resolved frequency modulation spectroscopy is a common method to measure weak signals of radiative ensembles. When the optical depth of the medium is large, the signal drops exponentially and the technique becomes ineffective. In this…

A streaming algorithm to compute the spectral proper orthogonal decomposition (SPOD) of stationary random processes is presented. As new data becomes available, an incremental update of the truncated eigenbasis of the estimated…

流体动力学 · 物理学 2019-01-14 Oliver T. Schmidt , Aaron Towne

Potential-based formulation with generalized Lorenz gauge can be used in the quantization of electromagnetic fields in inhomogeneous media. However, one often faces the redundancy of modes when finding eigenmodes from potential-based…

光学 · 物理学 2023-01-10 Jie Zhu , Thomas E. Roth , Dong-Yeop Na , Weng Cho Chew

Accurate extraction of multicomponent linear frequency modulation (LFM) signal parameters, such as onset frequency, linear modulation frequency, amplitude, and initial phase, is of great importance in the fields of ISAR, cognitive radio,…

信息论 · 计算机科学 2024-12-06 Huigaung Zhang

Recently proposed orthogonal time frequency space (OTFS) modulation has been considered as a promising candidate for accommodating various emerging communication and sensing applications in high-mobility environments. In this paper, we…

信息论 · 计算机科学 2021-01-12 Shuangyang Li , Weijie Yuan , Zhiqiang Wei , Jinhong Yuan

The Dynamic-Mode Decomposition (DMD) is a well established data-driven method of finding temporally evolving linear-mode decompositions of nonlinear time series. Traditionally, this method presumes that all relevant dimensions are sampled…

动力系统 · 数学 2021-01-13 Christopher W. Curtis , Daniel Jay Alford-Lago

This contribution introduces a novel signal extrapolation algorithm and its application to image error concealment. The signal extrapolation is carried out by iteratively generating a model of the signal suffering from distortion. Thereby,…

图像与视频处理 · 电气工程与系统科学 2022-07-15 Jürgen Seiler , André Kaup

Regular object detection methods output rectangle bounding boxes, which are unable to accurately describe the actual object shapes. Instance segmentation methods output pixel-level labels, which are computationally expensive for real-time…

计算机视觉与模式识别 · 计算机科学 2023-04-06 Yang Zheng , Oles Andrienko , Yonglei Zhao , Minwoo Park , Trung Pham

Modal decomposition techniques, such as Empirical Mode Decomposition (EMD), Variational Mode Decomposition (VMD), and Singular Spectrum Analysis (SSA), have advanced time-frequency signal analysis since the early 21st century. These methods…

信号处理 · 电气工程与系统科学 2025-10-29 Wang Hao , Kuang Zhang , Hou Chengyu , Yang Yifan , Tan Chenxing , Fu Weifeng

We consider the problem of reconstructing a signal from under-determined modulo observations (or measurements). This observation model is inspired by a (relatively) less well-known imaging mechanism called modulo imaging, which can be used…

机器学习 · 统计学 2019-07-18 Viraj Shah , Chinmay Hegde

The decomposition of a stochastic time series into three component series representing a dual signal - namely, the mean and dispersion - while isolating noise is presented. The decomposition is performed by applying machine learning…

机器学习 · 计算机科学 2025-08-14 Alex Glushkovsky

Contrary to the traditional pursuit of research on nonuniform sampling of bandlimited signals, the objective of the present paper is not to find sampling conditions that permit perfect reconstruction, but to perform the best possible signal…

信号处理 · 电气工程与系统科学 2024-04-05 Nguyen T. Thao , Dominik Rzepka , Marek Miskowicz

Dynamic Mode Decomposition (DMD) is a data-driven modal decomposition technique that extracts coherent spatio-temporal structures from high-dimensional time-series data. By decomposing the dynamics into a set of modes, each associated with…

流体动力学 · 物理学 2026-05-05 Yutaro Tanaka , Hiroya Nakao

The ability to decompose a signal in an orthonormal basis (a set of orthogonal components, each normalized to have unit length) using a fast numerical procedure rests at the heart of many signal processing methods and applications. The…

数值分析 · 计算机科学 2019-10-24 Cristian Rusu

Research on machine learning for channel estimation, especially neural network solutions for wireless communications, is attracting significant current interest. This is because conventional methods cannot meet the present demands of the…

信号处理 · 电气工程与系统科学 2022-01-26 Dianxin Luan , John Thompson

Long-distance quantum communication relies on storing and retrieving photonic qubits in orthogonal field modes. The available degrees of freedom for photons are polarization, spatial-mode profile, and temporal/spectral profile. To date,…

量子物理 · 物理学 2015-06-18 Dileep V. Reddy , Michael G. Raymer , Colin J. McKinstrie

This paper presents a linear complexity iterative rake detector for the recently proposed orthogonal time frequency space (OTFS) modulation scheme. The basic idea is to extract and combine the received multipath components of the…

信号处理 · 电气工程与系统科学 2020-01-30 Tharaj Thaj , Emanuele Viterbo

The pull test is a destructive detection method, and it can t measure the actual length of the bolt. As such, ultrasonic echo is one of the most important non-destructive testing methods for bolt quality detection. In this paper, the…

信号处理 · 电气工程与系统科学 2017-11-15 Juncai Xu , Qingwen Ren

The signal demixing problem seeks to separate a superposition of multiple signals into its constituent components. This paper studies a two-stage approach that first decompresses and subsequently deconvolves the noisy and undersampled…

信息检索 · 计算机科学 2022-05-25 Zhenan Fan , Halyun Jeong , Babhru Joshi , Michael P. Friedlander

With recent progress on fine-tuning language models around a fixed sparse autoencoder, we disentangle the decoder matrix into almost orthogonal features. This reduces interference and superposition between the features, while keeping…

机器学习 · 计算机科学 2026-02-05 Moritz Miller , Florent Draye , Bernhard Schölkopf