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In this article, we analyze the microlocal properties of the linearized forward scattering operator $F$ and the normal operator $F^{*}F$ (where $F^{*}$ is the $L^{2}$ adjoint of $F$) which arises in Synthetic Aperture Radar imaging for the…

Analysis of PDEs · Mathematics 2011-10-10 G. Ambartsoumian , R. Felea , V. P. Krishnan , C. Nolan , E. T. Quinto

In this article, we analyze the microlocal properties of the linearized forward scattering operator $F$ and the reconstruction operator $F^{*}F$ appearing in bistatic synthetic aperture radar imaging. In our model, the radar source and…

Analysis of PDEs · Mathematics 2010-08-05 Venky P. Krishnan , Eric Todd Quinto

Integrated sensing and communication (ISAC) has been envisioned as a solution to realize the sensing capability required for emerging applications in wireless networks, while efficiently utilizing the available spectral, hardware and energy…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Ziang Liu , Sundar Aditya , Hongyu Li , Bruno Clerckx

Since by the International Telecommunications Union (ITU) regulatory the radio spectrum available to spaceborne synthetic aperture radar (SAR) is restricted to certain limited frequency intervals, there are many different spaceborne SAR…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Huizhang Yang , Mingliang Tao , Shengyao Chen , Feng Xi , Zhong Liu

In this study, a novel transmission scheme is proposed to serve radar-sensing and communication objectives at the same time and allocated bandwidth. The proposed transmitted frame non-orthogonally superimposes two different waveforms, which…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Mehmet Mert Sahin , Huseyin Arslan

We consider a synthetic aperture radar (SAR) system that uses ultra-narrowband continuous waveforms (CW) as an illumination source. Such a system has many practical advantages, such as the use of relatively simple, low-cost and low-power…

Instrumentation and Detectors · Physics 2013-02-22 Ling Wang , Birsen Yazici

Bistatic sensing refers to scenarios where the transmitter (illuminating the target) and the sensing receiver (estimating the target state) are physically separated, in contrast to monostatic sensing, where both functions are co-located. In…

Information Theory · Computer Science 2025-03-06 Tian Jiao , Kai Wan , Zhiqiang Wei , Yanlin Geng , Yonglong Li , Zai Yang , Giuseppe Caire

We consider a linearized inverse problem, arising in offshore seismic exploration, for an isotropic wave equation with sound speed assumed to be a small, singular perturbation of a smooth background. Under an assumption of at most fold…

Analysis of PDEs · Mathematics 2007-05-23 Raluca Felea , Allan Greenleaf

In general the composition of Fourier integral operators (FIOs) need not be an FIO. Motivated by the problem of linearized seismic inversion in the presence of cusp caustics for the background sound speed, we consider FIOs whose canonical…

Analysis of PDEs · Mathematics 2010-01-28 Raluca Felea , Allan Greenleaf

We establish sharp $L^2$-Sobolev estimates for classes of pseudodifferential operators with singular symbols whose non-pseudodifferential (Fourier integral operator) parts exhibit two-sided fold singularities. The operators considered…

Analysis of PDEs · Mathematics 2010-02-08 Raluca Felea , Allan Greenleaf , Malabika Pramanik

Synthetic aperture radar (SAR) can measure the phase with antenna and microwave, which cannot be directly extended to visible light imaging due to phase lost. In this letter, we reported an active remote sensing with visible light via…

Optics · Physics 2022-04-26 Meng Xiang , An Pan , Yiyi Zhao , Xuewu Fan , Hui Zhao , Chuang Li , Baoli Yao

Fourier imaging is an indirect imaging method which records the diffraction pattern of the object scene coherently in the focal plane of the imaging system and reconstructs the image using computational resources. The spatial resolution,…

Optics · Physics 2023-06-05 Hui Yuan , Alvydas Lisauskas , Mark D. Thomson , Hartmut G. Roskos

In synthetic aperture radar (SAR), images are formed by focusing the response of stationary objects to a single spatial location. On the other hand, moving targets cause phase errors in the standard formation of SAR images that cause…

Information Theory · Computer Science 2013-02-20 Gregory E. Newstadt , Edmund G. Zelnio , Alfred O. Hero

We develop a theory for waveform-diverse moving-target synthetic-aperture radar, in the case in which a single moving antenna is used for both transmitting and receiving. We assume that the targets (scattering objects) are moving linearly,…

Classical Physics · Physics 2011-05-17 Margaret Cheney , Brett Borden

Target detection is the front-end stage in any automatic target recognition system for synthetic aperture radar (SAR) imagery (SAR-ATR). The efficacy of the detector directly impacts the succeeding stages in the SAR-ATR processing chain.…

Image and Video Processing · Electrical Eng. & Systems 2018-04-16 Khalid El-Darymli , Peter McGuire , Desmond Power , Cecilia Moloney

Through-wall synthetic aperture radar (SAR) imaging is of significant interest for security purposes, in particular when using multi-static SAR systems consisting of multiple distributed radar transmitters and receivers to improve…

Numerical Analysis · Mathematics 2024-10-30 Francis Watson , Daniel Andre , William Robert Breckon Lionheart

This work deals with the measurability of Fourier integral operators (FIOs) with random phase and amplitude functions. The key ingredient is the proof that FIOs depend continuously on their phase and amplitude functions, taken from suitable…

Analysis of PDEs · Mathematics 2022-08-15 Michael Oberguggenberger , Martin Schwarz

In this paper we examine how simple agents similar to Braitenberg vehicles can exhibit chaotic movement patterns. The agents are wall following robots as described by Steve Mesburger and Alfred Hubler in their paper "Chaos in Wall Following…

Chaotic Dynamics · Physics 2009-08-26 Harry W. Bullen , Priya Ranjan

Integrating Sensing and Communications (ISAC) has emerged as a promising paradigm for Sixth Generation (6G) and Wi-Fi 7 networks, with the communication-centric approach being particularly attractive due to its compatibility with current…

Signal Processing · Electrical Eng. & Systems 2026-05-01 Mathieu Reniers , Martin Willame , Jérôme Louveaux , Luc Vandendorpe

We study synthetic aperture radar (SAR) imaging and motion estimation of complex scenes consisting of stationary and moving targets. We use the classic SAR setup with a single antenna emitting signals and receiving the echoes from the…

Numerical Analysis · Mathematics 2015-06-11 Liliana Borcea , Thomas Callaghan , George Papanicolaou
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