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The invariants of an attractor have been the most used resource to characterize a nonlinear dynamics. Their estimation is a challenging endeavor in short-time series and/or in presence of noise. In this article we present two new…

Chaotic Dynamics · Physics 2017-12-13 Juan F. Restrepo , Gastón Schlotthauer

Stereo depth estimation is error-prone; hence, effective error detection methods are desirable. Most such existing methods depend on characteristics of the stereo matching cost curve, making them unduly dependent on functional details of…

Computer Vision and Pattern Recognition · Computer Science 2017-11-29 Subhayan Mukherjee , Irene Cheng , Ram Mohana Reddy Guddeti , Anup Basu

This study investigates two unavoidable noise factors: electronic noise and radiation scattering, associated with detectors and their electronics. This study proposes a novel methodology to estimate electronic and scattering noise…

Instrumentation and Detectors · Physics 2023-08-21 Mayank Goswami , Kajal Kumari

The size distribution of aerosol droplets is a key parameter in a myriad of processes, and it is typically measured with optical aids (e.g., lasers or cameras) that require sophisticated calibration, thus making the measurement cost…

Fluid Dynamics · Physics 2025-10-23 Avshalom Offner

The problem of detecting chirps is present in many applications of Signal Processing. Proper denoising, which involves filtering the signals after their acquisition, improves the efficacy of their detection. This manuscript describes how a…

Computational Engineering, Finance, and Science · Computer Science 2023-05-24 Alejandro Silva

The cross-spectrum method consists in measuring a signal $c(t)$ simultaneously with two independent instruments. Each of these instruments contributes to the global noise by its intrinsec (white) noise, whereas the signal $c(t)$ that we…

Data Analysis, Statistics and Probability · Physics 2020-03-17 Antoine Baudiquez , Éric Lantz , Enrico Rubiola , François Vernotte

The list of putative sources of gravitational waves possibly detected by the ongoing worldwide network of large scale interferometers has been continuously growing in the last years. For some of them, the detection is made difficult by the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eric Chassande-Mottin , Archana Pai

Diffusion models have emerged as a powerful foundation model for visual generations. With an appropriate sampling process, it can effectively serve as a generative prior for solving general inverse problems. Current posterior sampling-based…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Shijie Zhou , Huaisheng Zhu , Rohan Sharma , Jiayi Chen , Ruiyi Zhang , Kaiyi Ji , Changyou Chen

Computed tomography (CT) has become a vital tool in a variety of fields as a result of technological developments and continual improvement. High-quality CT images are desirable for image interpretation and obtaining information from CT…

Instrumentation and Detectors · Physics 2022-05-26 Kajal Kumari , Snehlata Shakya , Mayank Goswami

The estimation of the frequencies of multiple superimposed exponentials in noise is an important research problem due to its various applications from engineering to chemistry. In this paper, we propose an efficient and accurate algorithm…

Numerical Analysis · Mathematics 2016-05-05 Shanglin Ye , Elias Aboutanios

A generic `chirp' of the form h(t) = A(t) cos(phi(t)) can be closely approximated by a connected set of multiscale chirplets with quadratically-evolving phase. The problem of finding the best approximation to a given signal using chirplets…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emmanuel J. Candès , Philip R. Charlton , Hannes Helgason

Multi-component chirp signal models with equal chirp rates appear in various radar applications, e.g., synthetic aperture radar, echo signal of a rapid mobile target, etc. Many sub-optimal estimators have been developed for such models,…

Methodology · Statistics 2023-02-15 Abhinek Shukla , Debasis Kundu , Amit Mitra , Rhythm Grover

In this paper, we consider the estimation of the unknown parameters of the multiple chirp signal model in presence of additive error. The chirp signals are quite common in many areas of science and engineering, specially sonar, radar, audio…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Swagata Nandi , Debasis Kundu

We report a new version of spectral phase interferometry for direct electric field reconstruction (SPIDER), which enables consistency checking through the simultaneous acquisition of multiple shears and offers a simple and precise…

Optics · Physics 2019-03-27 Tobias Witting , Dane R. Austin , Ian A. Walmsley

The designation of the radar system is to detect the position and velocity of targets around us. The radar transmits a waveform, which is reflected back from the targets, and echo waveform is received. In a commonly used model, the echo is…

Information Theory · Computer Science 2013-09-17 Alexander Fish , Shamgar Gurevich

In this paper, we discuss a new technique for measuring transceiver noise, skew, and for the detection of uncompensated transceiver impairments. The method consists on the introduction of frequency domain notch or notches at the…

Signal Processing · Electrical Eng. & Systems 2021-10-04 F. J. Vaquero-Caballero , D. J. Ives , S. J. Savory

Automotive radar sensors output a lot of unwanted clutter or ghost detections, whose position and velocity do not correspond to any real object in the sensor's field of view. This poses a substantial challenge for environment perception…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Johannes Kopp , Dominik Kellner , Aldi Piroli , Klaus Dietmayer

The line spectrum estimation problem is considered in this paper. We propose a CFAR-based Newtonized OMP (NOMP-CFAR) method which can maintain a desired false alarm rate without the knowledge of the noise variance. The NOMP-CFAR consists of…

Information Theory · Computer Science 2022-10-20 Menghuai Xu , Jiang Zhu , Jun Fang , Ning Zhang , Zhiwei Xu

We research adaptive maximum likelihood-type estimation for an ergodic diffusion process where the observation is contaminated by noise. This methodology leads to the asymptotic independence of the estimators for the variance of observation…

Statistics Theory · Mathematics 2017-12-05 Shogo H. Nakakita , Masayuki Uchida

Anomalies are strange data points; they usually represent an unusual occurrence. Anomaly detection is presented from the perspective of Wireless sensor networks. Different approaches have been taken in the past, as we will see, not only to…

Machine Learning · Computer Science 2017-08-30 Pelumi Oluwasanya