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Multidimensional optical signals are commonly recorded by varying the delays between time ordered pulses. These control the evolution of the density matrix and are described by ladder diagrams. We propose a new non-time-ordered protocol…

Quantum Physics · Physics 2015-06-18 Konstantin E. Dorfman , Shaul Mukamel

Using a new general approach to limits in optical structures that counts orthogonal waves generated by scattering, we derive an upper limit to the number of bits of delay possible in one-dimensional slow light structures that are based on…

Optics · Physics 2013-02-08 David A. B. Miller

The treatment of interfering motion contributions remains one of the key challenges in the domain of radar-based vital sign monitoring. Removal of the interference to extract the vital sign contributions is demanding due to overlapping…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Mikolaj Czerkawski , Christos Ilioudis , Carmine Clemente , Craig Michie , Ivan Andonovic , Christos Tachtatzis

Distinguishing between the instantaneous and delayed scatterers in synthetic aperture radar (SAR) images is important for target identification and characterization. To perform this task, one can use the autocorrelation analysis of…

Image and Video Processing · Electrical Eng. & Systems 2019-09-24 Mikhail Gilman , Semyon Tsynkov

We address the problem of signal denoising and pattern recognition in processing batch-mode time-series data by combining linear time-invariant filters, orthogonal multiresolution representations, and sparsity-based methods. We propose a…

Signal Processing · Electrical Eng. & Systems 2019-06-28 G. V. Prateek , Yo-El Ju , Arye Nehorai

The changes in phase, time and frequency suffered by signals when retransmitted by a remote and inaccessible transponder and the propagation delays are major constraints to obtain accurate ranging measurements in various related…

Instrumentation and Methods for Astrophysics · Physics 2015-05-25 P. Kaufmann , P. L. Kaufmann , S. V. D. Pamboukian , R. Vilhena de Morais

Dynamical systems with complex delayed interactions arise commonly when propagation times are significant, yielding complicated oscillatory instabilities. In this Letter, we introduce a class of systems with multiple, hierarchically long…

Pattern Formation and Solitons · Physics 2015-06-19 Serhiy Yanchuk , Giovanni Giacomelli

In radar systems, high resolution in the Doppler dimension is important for detecting slow-moving targets as it allows for more distinct separation between these targets and clutter, or stationary objects. However, achieving sufficient…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Denisa Qosja , Kilian Barth , Simon Wagner

We study the problem of estimating the best B term Fourier representation for a given frequency-sparse signal (i.e., vector) $\textbf{A}$ of length $N \gg B$. More explicitly, we investigate how to deterministically identify B of the…

Discrete Mathematics · Computer Science 2007-08-10 M. A. Iwen

The orthogonal time frequency space (OTFS) modulation has emerged as a promising modulation scheme for high mobility wireless communications. To enable efficient OTFS detection in the delay-Doppler (DD) domain, the DD domain channels need…

Information Theory · Computer Science 2021-06-08 Fei Liu , Zhengdao Yuan , Qinghua Guo , Zhongyong Wang , Peng Sun

Sequential estimation of the delay and Doppler parameters for sub-Nyquist radars by analog-to-information conversion (AIC) systems has received wide attention recently. However, the estimation methods reported are AIC-dependent and have…

Information Theory · Computer Science 2017-01-17 Shengyao Chen , Feng Xi , Zhong Liu

Doppler reflectometry spatial and wavenumber resolution is analyzed within the framework of the linear Born approximation in slab plasma model. Explicit expression for its signal backscattering spectrum is obtained in terms of wavenumber…

Plasma Physics · Physics 2007-05-23 Alexander Surkov , Evgeniy Gusakov

We study the problem of estimating the time delay between two signals representing delayed, irregularly sampled and noisy versions of the same underlying pattern. We propose and demonstrate an evolutionary algorithm for the (hyper)parameter…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-27 Juan C. Cuevas-Tello , Peter Tino , Somak Raychaudhury , Xin Yao , Markus Harva

In this paper, we investigate the problem of dual-rate consensus under transmission delays, where the control updates happen at a faster rate than the measurements being received. We assume that the measurements are delayed by a fixed delay…

Systems and Control · Electrical Eng. & Systems 2025-06-04 David Umsonst , Mina Ferizbegovic

This paper addresses a critical preliminary step in radar signal processing: detecting the presence of a radar signal and robustly estimating its bandwidth. Existing methods which are largely statistical feature-based approaches face…

Signal Processing · Electrical Eng. & Systems 2024-03-01 Akila Pemasiri , Zi Huang , Fraser Williams , Ethan Goan , Simon Denman , Terrence Martin , Clinton Fookes

Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the potential of recent super-resolution techniques for spectral…

Information Theory · Computer Science 2016-11-24 M. Ferreira Da Costa , W. Dai

Pulse Doppler radars suffer from range-Doppler ambiguity that translates into a trade-off between maximal unambiguous range and velocity. Several techniques, like the multiple PRFs (MPRF) method, have been proposed to mitigate this problem.…

Signal Processing · Electrical Eng. & Systems 2021-10-01 Xiang Liu , Deborah Cohen , Tianyao Huang , Yimin Liu , Yonina C. Eldar

A new and accurate method to determine the time delay and embedding dimension for state space reconstruction of a high dimensional system from a scalar time series using time delay embedding is presented. The time delay is obtained to…

Chaotic Dynamics · Physics 2016-05-06 Aniruddha Tamma , Bhaskar Lachman Khubchandani

This is the third part of four series papers, aiming at the delay compensation for the abstract linear system (A,B,C). Both the input delay and output delay are investigated. We first propose a full state feedback control to stabilize the…

Systems and Control · Electrical Eng. & Systems 2020-09-07 Hongyinping Feng

Discrete-time linear time-varying (LTV) systems form a powerful class of models to approximate complex dynamical systems with nonlinear dynamics for the purpose of analysis, design and control. Motivated by inference of spatio-temporal…

Systems and Control · Computer Science 2018-05-23 Roel Dobbe , Stephan Liu , Ye Yuan , Claire Tomlin