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In this paper, we extend our method [1] for FMCW radar mutual interference mitigation (IM) based on the discrete fractional Fourier transform (DFrFT). Firstly, we propose a radar signal processing chain including our DFrFT-based IM for…

Signal Processing · Electrical Eng. & Systems 2026-05-01 Christian Oswald , Josef Kulmer , Franz Pernkopf

Change detection in remote sensing imagery plays a vital role in various engineering applications, such as natural disaster monitoring, urban expansion tracking, and infrastructure management. Despite the remarkable progress of deep…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Xiaoyang Zhang , Guodong Fan , Guang-Yong Chen , Zhen Hua , Jinjiang Li , Min Gan , C. L. Philip Chen

We construct efficient banks of templates suitable for directed searches of almost monochromatic gravitational waves originating from spinning nuetron stars in our Galaxy in data being collected by currently operating interferometric…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Andrzej Pisarski , Piotr Jaranowski , Maciej Pietka

Laser frequency noise is a dominant noise background for the detection of gravitational waves using long-baseline optical interferometry. Amelioration of this noise requires near simultaneous strain measurements on more than one…

Quantum Physics · Physics 2013-04-30 Peter W. Graham , Jason M. Hogan , Mark A. Kasevich , Surjeet Rajendran

Fourier-transform spectroscopy (FTS) has been widely used as a standard analytical technique over the past half-century. FTS is a simple and robust autocorrelation-based technique that is compatible with both temporally coherent and…

Instrumentation and Detectors · Physics 2018-11-21 Kazuki Hashimoto , Takuro Ideguchi

Orthogonal frequency-division multiplexing (OFDM) has been selected as a baseline waveform for long-term evolution (LTE) and fifth-generation new radio (5G NR). Fast-convolution (FC)-based frequency-domain signal processing has been…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Juha Yli-Kaakinen , Toni Levanen , Arto Palin , Markku Renfors , Mikko Valkama

Recently, we developed effective fly-by (EFB) waveforms designed to model the burst of gravitational radiation from highly eccentric binaries. We here present a faster to evaluate frequency domain EFB waveform. The waveform is constructed…

General Relativity and Quantum Cosmology · Physics 2021-08-17 Nicholas Loutrel

This paper deals with spectrum sensing in Cognitive Radios to enable unlicensed secondary users to opportunistically access a licensed band. The ability to detect the presence of a primary user at a low signal to noise ratio (SNR) is a…

Other Computer Science · Computer Science 2013-12-19 Hemant Saggar , D. K. Mehra

As second-generation gravitational-wave detectors prepare to analyze data at unprecedented sensitivity, there is great interest in searches for unmodeled transients, commonly called bursts. Significant effort has yielded a variety of…

Instrumentation and Methods for Astrophysics · Physics 2015-11-04 Eric Thrane , Michael Coughlin

The Number Theoretic Transform (NTT) can be regarded as a variant of the Discrete Fourier Transform. NTT has been quite a powerful mathematical tool in developing Post-Quantum Cryptography and Homomorphic Encryption. The Fourier Transform…

Cryptography and Security · Computer Science 2025-09-09 Banhirup Sengupta , Peenal Gupta , Souvik Sengupta

Detecting gravitational wave bursts (characterised by short durations and poorly modelled waveforms) requires to have coincidences between several interferometric detectors in order to reject non-stationary noise events. As the wave…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nicolas Arnaud , Matteo Barsuglia , Marie-Anne Bizouard , Philippe Canitrot , Fabien Cavalier , Michel Davier , Patrice Hello , Thierry Pradier

The gravitational waveform of merging binary neutron stars encodes information about extreme states of matter. Probing these gravitational emissions requires the gravitational-wave detectors to have high sensitivity above 1 kHz. Fortunately…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Haixing Miao , Huan Yang , Denis Martynov

We propose a novel method for detecting gravitational waves (GW), where a light signal emitted from a distant star interacts with a local (also distant) GW source and travels towards the Earth, where it is detected. While traveling in the…

Astrophysics · Physics 2009-11-13 G. B. Lesovik , A. V. Lebedev , V. Mounutcharyan , T. Martin

In this paper, we propose a new method to estimate instantaneous frequency using a combined approach based on the discrete linear chirp transform (DLCT) and the Wigner distribution (WD). The DLCT locally represents a signal as a…

Signal Processing · Electrical Eng. & Systems 2018-10-15 Osama A. Alkishriwo , Luis F. Chaparro

Searches for gravitational wave signals which do not have a precise model describing the shape of their waveforms are often performed using power detectors based on a quadratic form of the data. A new, optimal method of generalizing these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Julien Sylvestre

Merging supermassive black hole binaries produce low-frequency gravitational waves, which pulsar timing experiments are searching for. Much of the current theory is developed within the plane-wave formalism, and here we develop the more…

High Energy Astrophysical Phenomena · Physics 2021-06-29 Casey McGrath , Jolien Creighton

We study detection and imaging of small reflectors in heavy clutter, using an array of transducers that emits and receives sound waves. Heavy clutter means that multiple scattering of the waves in the heterogeneous host medium is strong and…

Computational Physics · Physics 2018-06-27 Liliana Borcea , George Papanicolaou , Chrysoula Tsogka

This letter extends the concept of graph-frequency to graph signals that evolve with time. Our goal is to generalize and, in fact, unify the familiar concepts from time- and graph-frequency analysis. To this end, we study a joint temporal…

Machine Learning · Computer Science 2016-02-17 Andreas Loukas , Damien Foucard

One of the major challenges of employing a dual-frequency phase-shifting algorithm for phase retrieval is its sensitivity to noise. Yun et. al [H Yun, B Li, S Zhang. 2017] proposed a dual-frequency method based on the Fourier transform…

Instrumentation and Detectors · Physics 2018-05-23 Minmin Wang , Canlin Zhou , Shuchun Si , Zhenkun Lei , Xiaolei Li , Hui Li , YanJie Li

Along with the development of interferometric gravitational wave detector, we enter into an epoch of gravitational wave astronomy, which will open a brand new window for astrophysics to observe our universe. Almost all of the data analysis…

General Relativity and Quantum Cosmology · Physics 2010-06-29 Li-Fang Li , Jian-Yang Zhu