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The number of phase wraps in 2D wrapped phase map can be completely eliminated, or greatly reduced by frequency shifting. But the wraps usually cannot be optimally reduced using the conventional fast Fourier transform (FFT) because the…

Instrumentation and Detectors · Physics 2017-10-11 Minmin Wang , Guangliang Du , Canlin Zhou , Shuchun Si , Zhenkun Lei , XiaoLei Li , YanJie Li

In the phased-array radar (PAR) signals from each antenna are transmitted at the same carrier frequency, which yields narrowly focused only angle dependent beampattern. In contrast, in the frequency-diverse-array (FDA) radar signals from…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Muhammad Zubair , Sajid Ahmed , Mohamed-Slim Alouini

We study the possibility for the implementation of linear wave structures on discrete grids with various dimensions. The systems of the first order differential equations for the set of virtual functions, describing the wave propagation,…

Numerical Analysis · Mathematics 2019-01-01 Sergey Dvornikov , Maxim Dvornikov

At millimeter-wave frequencies, diffuse scattering from rough surfaces is an important propagation mechanism. Including this mechanism in radio propagation modeling tools,such as ray-tracing, is a key step towards realizing accurate…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Stefanos Bakirtzis , Takahiro Hashimoto , Costas D. Sarris

An alternative way of visualizing electromagnetic waves in matter and of deriving the Finite Difference Time Domain method (FDTD) for simulating Maxwell's equations for one dimensional systems is presented. The method uses d'Alembert's…

Optics · Physics 2021-02-24 Ross Hyman , Nathaniel Stern , Allen Taflove

Finite-difference simulations of fluid dynamics and magnetohydrodynamics generally require an explicit diffusion operator, either to maintain stability by attenuating grid-scale structure, or to implement physical diffusivities such as…

Astrophysics · Physics 2015-05-13 Jason Maron , Mordecai-Mark Mac Low

This paper describes a model for nonlinear acoustic wave propagation through absorbing and weakly dispersive media, and its numerical solution by means of finite differences in time domain method (FDTD). The attenuation is based on multiple…

In our recent work [AIP Adv. 11, 095006], we presented an efficient numerical method to compute dispersions and spatial mode profiles of spin waves propagating in waveguides with translationally invariant equilibrium magnetization. Using a…

Mesoscale and Nanoscale Physics · Physics 2024-06-12 Lukas Körber , Alexander Hempel , Andreas Otto , Rodolfo Gallardo , Yves Henry , Jürgen Lindner , Attila Kákay

Score-based diffusion models in infinite-dimensional function spaces provide a mathematically principled framework for modelling function-valued data, offering key advantages such as resolution invariance and the ability to handle irregular…

Machine Learning · Computer Science 2026-05-06 James Rowbottom , Elizabeth L. Baker , Nick Huang , Ben Adcock , Carola-Bibiane Schönlieb , Alexander Denker

We propose in this work a radar detection system for orthogonal-frequency division multiplexing (OFDM) transmission. We assume that the transmitting antenna Tx is colocated with a monostatic radar. The latter knows the transmitted signal…

Signal Processing · Electrical Eng. & Systems 2023-02-20 Mamady Delamou , Kawtar Zerhouni , Guevara Noubir , El Mehdi Amhoud

We are focused on improving the resolution of images of moving targets in Inverse Synthetic Aperture Radar (ISAR) imaging. This could be achieved by recovering the scattering points of a target that have stronger reflections than other…

Signal Processing · Electrical Eng. & Systems 2022-11-15 Mohammad Roueinfar , Mohammad Hossein Kahaei

Seismic waves are the most sensitive probe of the Earth's interior we have. With the dense data sets available in exploration, images of subsurface structures can be obtained through processes such as migration. Unfortunately, relating…

Geophysics · Physics 2009-05-05 R. B. Schlottmann

A finite difference algorithm based on the integral Laguerre transform in time for solving a three-dimensional one-way wave equation is proposed. This allows achieving high accuracy of calculation results. In contrast to the Fourier method,…

Numerical Analysis · Mathematics 2022-01-12 Andrew V. Terekhov

This paper presents a spatial two-grid (STG) compact difference scheme for a two-dimensional (2D) nonlinear diffusion-wave equation with variable exponent, which describes, e.g., the propagation of mechanical diffusive waves in viscoelastic…

Numerical Analysis · Mathematics 2025-10-15 Hao Zhang , Kexin Li , Wenlin Qiu

In a typical multi-standard military communication receiver, fast and reliable spectrum sensing unit is required to extract the information of multiple channels (frequency bands) present in a wideband input signal. In this paper, an energy…

Information Theory · Computer Science 2016-08-16 S. J. Darak , A. P. Vinod , E. M-K. Lai

A numerical method for processing the data of ground penetrating radars for a piece-wise continuous layered medium is proposed. The method combines the layer stripping technique with numerical continuation of data into the complex…

Numerical Analysis · Mathematics 2026-03-17 Ruben Airapetyan

(abridged) We run a Faraday structure determination data challenge to benchmark the currently available algorithms including Faraday synthesis (previously called RM synthesis in the literature), wavelet, compressive sampling and…

In this paper, we present a Generative Adversarial Network (GAN) machine learning model to interpolate irregularly distributed measurements across the spatial domain to construct a smooth radio frequency map (RFMap) and then perform…

Machine Learning · Computer Science 2021-11-25 Kuldeep S. Gill , Son Nguyen , Myo M. Thein , Alexander M. Wyglinski

Full-waveform inversion (FWI) is a seismic imaging method that provides quantitative inference about subsurface properties with a wavelength-scale resolution. Its frequency-domain formulation is computationally efficient when processing…

Optimization and Control · Mathematics 2022-02-18 Hossein S. Aghamiry , Ali Gholami , Kamal Aghazade , Mahdi Sonbolestan , Stephane Operto

Radar imaging is crucial in remote sensing and has many applications in detection and autonomous driving. However, the received radar signal for imaging is enormous and redundant, which degrades the speed of real-time radar quantitative…

Signal Processing · Electrical Eng. & Systems 2023-07-06 Zhuoyang Liu , Huilin Xu , Feng Xu