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Recovering a sparse signal from its low-pass projections in the Fourier domain is a problem of broad interest in science and engineering and is commonly referred to as super-resolution. In many cases, however, Fourier domain may not be the…

Information Theory · Computer Science 2019-02-20 Ayush Bhandari , Yonina C. Eldar

In remote sensing rotated object detection, mainstream methods suffer from two bottlenecks, directional incoherence at detector neck and task conflict at detecting head. Ulitising fourier rotation equivariance, we introduce Fourier Angle…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Changyu Gu , Linwei Chen , Lin Gu , Ying Fu

The Fast Fourier Transform (FFT) is a computationally intensive digital signal processing (DSP) function widely used in applications such as imaging, software-defined radio, wireless communication, instrumentation. In this paper, a…

Other Computer Science · Computer Science 2010-06-15 Ashish Raman , Anvesh Kumar , R. K. Sarin

Diffuse scattering is a rich source of information about disorder in crystalline materials, which can be modelled using atomistic techniques such as Monte Carlo and molecular dynamics simulations. Modern X-ray and neutron scattering…

Materials Science · Physics 2018-12-21 Joseph A. M. Paddison

We consider the inverse source problems with multi-frequency sparse near field measurements. In contrast to the existing near field operator based on the integral over the space variable, a multi-frequency near field operator is introduced…

Numerical Analysis · Mathematics 2021-09-06 Xiaodong Liu , Shixu Meng

Fourier transform spectroscopy (FTS) has been widely used as an analytical tool for many applications in science and engineering. In this paper, we describe the operation principle and practical implementation of an FTS prototype. First,…

Instrumentation and Detectors · Physics 2023-02-02 Sohrab Sheikh-Sofla , Mohammad Neshat

Future sixth-generation (6G) systems are expected to leverage extremely large-scale multiple-input multiple-output (XL-MIMO) technology, which significantly expands the range of the near-field region. The spherical wavefront characteristics…

Information Theory · Computer Science 2025-05-20 Shicong Liu , Xianghao Yu , Zhen Gao , Jie Xu , Derrick Wing Kwan Ng , Shuguang Cui

Affine Frequency Division Multiplexing (AFDM), which is based on discrete affine Fourier transform (DAFT), has recently been proposed for reliable communication in high-mobility scenarios. Two low complexity detectors for AFDM are…

Information Theory · Computer Science 2022-03-08 Ali Bemani , Nassar Ksairi , Marios Kountouris

Localization is an essential component for autonomous robots. A well-established localization approach combines ray casting with a particle filter, leading to a computationally expensive algorithm that is difficult to run on…

Data Structures and Algorithms · Computer Science 2018-03-09 Corey Walsh , Sertac Karaman

A new parameter estimation algorithm, known as Sub-band Dual Frequency Conjugate LVT (SDFC-LVT), is proposed for the ground moving targets. This algorithm first constructs two sub-band signals with different central frequencies. After that,…

Information Theory · Computer Science 2015-02-03 Jing Tian , Wei Cui , Si-liang Wu

The graph Fourier transform (GFT) is an important tool for graph signal processing, with applications ranging from graph-based image processing to spectral clustering. However, unlike the discrete Fourier transform, the GFT typically does…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Keng-Shih Lu , Antonio Ortega

The increasing demands for high-throughput and energy-efficient wireless communications are driving the adoption of extremely large antennas operating at high-frequency bands. In these regimes, multiple users will reside in the radiative…

Signal Processing · Electrical Eng. & Systems 2025-06-30 Arad Gast , Luc Le Magoarou , Nir Shlezinger

Discrete Fourier Transform (DFT) is widely used in signal processing to analyze the frequencies in a discrete signal. However, DFT fails to recover the exact Fourier spectrum, when the signal contains frequencies that do not correspond to…

Data Analysis, Statistics and Probability · Physics 2015-06-15 M. Andrecut

Faster-than-Nyquist (FTN) signaling is a promising non-orthogonal physical layer transmission technique to improve the spectral efficiency of future communication systems but at the expense of intersymbol-interference (ISI). In this paper,…

Information Theory · Computer Science 2019-04-16 Ebrahim Bedeer , Halim Yanikomeroglu , Mohamed Hossam Ahmed

Fourier and related transforms is a family of algorithms widely employed in diverse areas of computational science, notoriously difficult to scale on high-performance parallel computers with large number of processing elements (cores). This…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-09 Dmitry Pekurovsky

Image subtraction is essential for transient detection in time-domain astronomy. The point spread function (PSF), photometric scaling, and sky background generally vary with time and across the field-of-view for imaging data taken with…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Lei Hu , Lifan Wang , Xingzhuo Chen , Jiawen Yang

In this paper, we investigate the detection problem of binary faster-than-Nyquist (FTN) signaling and propose a novel sequence estimation technique that exploits its special structure. In particular, the proposed sequence estimation…

Information Theory · Computer Science 2017-03-08 Ebrahim Bedeer , Halim Yanikomeroglu , Mohamed Hossam Ahmed

After nearly a century of specialized applications in optics, remote sensing, and acoustics, the near-field (NF) electromagnetic propagation zone is experiencing a resurgence in research interest. This renewed attention is fueled by the…

Signal Processing · Electrical Eng. & Systems 2025-01-07 Ahmet M. Elbir , Özlem Tuğfe Demir , Kumar Vijay Mishra , Symeon Chatzinotas , Martin Haardt

Vertex-frequency analysis, particularly the windowed graph Fourier transform (WGFT), is a significant challenge in graph signal processing. Tight frame theories is known for its low computational complexity in signal reconstruction, while…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Linbo Shang , Zhichao Zhang

Faster-than-Nyquist (FTN) signaling can improve the spectral efficiency (SE); however, at the expense of high computational complexity to remove the introduced intersymbol interference (ISI). Motivated by the recent success of ML in…

Information Theory · Computer Science 2022-08-24 Sina Abbasi , Ebrahim Bedeer