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We introduce a novel spectral, finite-dimensional approximation of general Sobolev spaces in terms of Chebyshev polynomials. Based on this polynomial surrogate model (PSM), we realise a variational formulation, solving a vast class of…

Numerical Analysis · Mathematics 2023-01-13 Juan-Esteban Suarez Cardona , Phil-Alexander Hofmann , Michael Hecht

Recent research efforts in the Anti-Submarine Warfare (ASW) community have focused on developing sonar systems that adapt to their acoustic environment, referred to as "cognitive" sonars. Cognitive active sonar systems utilize principles of…

Signal Processing · Electrical Eng. & Systems 2021-11-18 David A. Hague

This paper experimentally evaluates the Generalized Sinusoidal Frequency Modulated (GSFM) waveform, a generalization of the Sinusoidal Frequency Modulated (SFM) waveform. The Instantaneous Frequency (IF) of the GSFM resembles the…

Signal Processing · Electrical Eng. & Systems 2021-04-29 David A. Hague , John R. Buck

We study the problem of dictionary learning for signals that can be represented as polynomials or polynomial matrices, such as convolutive signals with time delays or acoustic impulse responses. Recently, we developed a method for…

Sound · Computer Science 2017-05-25 Jian Guan , Xuan Wang , Pengming Feng , Jing Dong , Wenwu Wang

This paper presents an adaptive waveform design method using Multi-Tone Sinusoidal Frequency Modulation (MTSFM). The MTSFM waveform's modulation function is represented as a finite Fourier series expansion. The Fourier coefficients are…

Signal Processing · Electrical Eng. & Systems 2021-05-04 David A. Hague

A novel OFDM-based waveform with low peak-to-average power ratio (PAPR) and high robustness against phase noise (PN) is presented. It follows the discrete Fourier transform spread orthogonal frequency division multiplexing (DFT-s-OFDM)…

Signal Processing · Electrical Eng. & Systems 2021-10-13 Markku Renfors , Ismael Peruga Nasarre , Toni Levanen , Mikko Valkama , Kari Pajukoski

Early identification of abnormal physiological patterns is essential for the timely detection of cardiac disease. This work introduces a hybrid quantum-classical convolutional neural network (QCNN) designed to classify S3 and murmur…

Machine Learning · Computer Science 2025-11-05 Yasaman Torabi , Shahram Shirani , James P. Reilly

Photoplethysmogram (PPG) and electrocardiogram (ECG) are commonly recorded in intesive care unit (ICU) and operating room (OR). However, the high incidence of poor, incomplete, and inconsistent signal quality, can lead to false alarms or…

Machine Learning · Computer Science 2025-09-16 Zongheng Guo , Tao Chen , Manuela Ferrario

The purpose of this study is to utilize the Chebyshev spectral method neural network(CSNN) model to solve differential equations. This approach employs a single-layer neural network wherein Chebyshev spectral methods are used to construct…

Numerical Analysis · Mathematics 2024-07-08 Pengsong Yin , Shuo Ling , Wenjun Ying

Neural operators have emerged as powerful deep learning frameworks for approximating solution operators of parameterized partial differential equations (PDE). However, current methods predominantly rely on multilayer perceptrons (MLPs) for…

Fluid Dynamics · Physics 2026-02-03 Biao Chen , Jing Wang , Hairun Xie , Qineng Wang , Shuai Zhang , Yifan Xia , Jifa Zhang

Probabilistic shaping (PS) is investigated as a potential technique to approach the Shannon limit. However, it has been proved that conventional carrier phase recovery (CPR) algorithm designed for uniform distribution may have extra penalty…

Signal Processing · Electrical Eng. & Systems 2021-02-03 Jin Hu , Zhongliang Sun , Xuekai Xu , Mengqi Guo , Xizi Tang , Yueming Lu , Yaojun Qiao

Solving an acoustic wave equation using a parabolic approximation is a popular approach for many existing ocean acoustic models. Commonly used parabolic equation (PE) model programs, such as the range-dependent acoustic model (RAM), are…

Computational Engineering, Finance, and Science · Computer Science 2021-06-02 Houwang Tu , Yongxian Wang , Xian Ma , Xunjiang Zhu

Probabilistic shaping (PS) is a promising technique to approach the Shannon limit using typical constellation geometries. However, the impact of PS on the chain of signal processing algorithms of a coherent receiver still needs further…

Signal Processing · Electrical Eng. & Systems 2018-09-14 Darli A. A. Mello , Fabio A. Barbosa , Jacklyn D. Reis

In this paper, a new waveform called discrete Fourier transform spread orthogonal frequency division multiplexing with chirp modulation (DFT-s-OFDM-CM) is proposed for the next generation of wireless communications. The information bits are…

Signal Processing · Electrical Eng. & Systems 2025-08-07 Yujie Liu , Yong Liang Guan , David González G. , Halim Yanikomeroglu

This paper presents a method for generating a family of waveforms with low in-band Auto/Cross-Correlation Function (ACF/CCF) properties using the Multi-Tone Sinusoidal Frequency Modulated (MTSFM) waveform model. The MTSFM waveform's…

Signal Processing · Electrical Eng. & Systems 2020-03-17 David A. Hague

Particle-based shape modeling (PSM) is a family of approaches that automatically quantifies shape variability across anatomical cohorts by positioning particles (pseudo landmarks) on shape surfaces in a consistent configuration. Recent…

Computer Vision and Pattern Recognition · Computer Science 2025-07-11 Hong Xu , Shireen Y. Elhabian

We use the recent theory of Spectral Submanifolds (SSM) for model reduction of nonlinear mechanical systems subject to parametric excitations. Specifically, we develop expressions for higher-order nonautonomous terms in the parameterization…

Dynamical Systems · Mathematics 2023-07-21 Thomas Thurnher , George Haller , Shobhit Jain

A new circularly pulse-shaped (CPS) precoding orthogonal frequency division multiplexing (OFDM) waveform, or CPS-OFDM for short, is proposed in this paper. CPS-OFDM, characterized by user-specific precoder flexibility, possesses the…

Information Theory · Computer Science 2024-10-30 Yenming Huang , Borching Su

Continuous photoplethysmography (PPG)-based blood pressure monitoring is necessary for healthcare and fitness applications. In Artificial Intelligence (AI), signal classification levels with the machine and deep learning arrangements need…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Nida Nasir , Mustafa Sameer , Feras Barneih , Omar Alshaltone , Muneeb Ahmed

Peridynamics is a nonlocal generalization of continuum mechanics theory which adresses discontinuous problems without using partial derivatives and replacing its by an integral operator. As a consequence, it finds applications in the…

Numerical Analysis · Mathematics 2022-09-07 Luciano Lopez , Sabrina Francesca Pellegrino