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The envelope of an elliptical Gaussian complex vector, or equivalently, the amplitude or norm of a bivariate normal random vector has application in many weather and signal processing contexts. We explicitly characterize its distribution in…

Statistics Theory · Mathematics 2026-02-03 Sattwik Ghosal , Ranjan Maitra

In this paper, we study the problem of transient signal analysis. A signal-dependent algorithm is proposed which sequentially identifies the countable sets of decay rates and expansion coefficients present in a given signal. We…

Optimization and Control · Mathematics 2015-09-21 Tarek A. Lahlou , Anuran Makur

We introduce Xampling, a unified framework for signal acquisition and processing of signals in a union of subspaces. The main functions of this framework are two. Analog compression that narrows down the input bandwidth prior to sampling…

Information Theory · Computer Science 2016-11-17 Moshe Mishali , Yonina C. Eldar , Asaf Elron

Recently there has seen promising results on automatic stage scoring by extracting spatio-temporal features from electroencephalogram (EEG). Such methods entail laborious manual feature engineering and domain knowledge. In this study, we…

Signal Processing · Electrical Eng. & Systems 2022-04-08 Lingwei Zhu , Koki Odani , Ziwei Yang , Guang Shi , Yirong Kan , Zheng Chen , Renyuan Zhang

Optimal estimation of signal amplitude, background level, and photocentre location is crucial to the combined extraction of astrometric and photometric information from focal plane images, and in particular from the one-dimensional…

Instrumentation and Methods for Astrophysics · Physics 2017-04-05 Mario Gai , Deborah Busonero , Rossella Cancelliere

We develop a sampling scheme on the sphere that permits accurate computation of the spherical harmonic transform and its inverse for signals band-limited at $L$ using only $L^2$ samples. We obtain the optimal number of samples given by the…

Information Theory · Computer Science 2014-07-25 Zubair Khalid , Rodney A. Kennedy , Jason D. McEwen

A hidden Markov process is a well known concept in information theory and is used for a vast range of applications such as speech recognition and error correction. We bridge between two disciplines, experimental physics and advanced…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Ido Kanter , Aviad Frydman , Asaf Ater

There are many packages in Python which allow one to perform real-time processing on audio data. Unfortunately, due to the synchronous nature of the language, there lacks a framework which allows for distributed parallel processing of the…

Audio and Speech Processing · Electrical Eng. & Systems 2024-03-18 Nicolas Shu , David V. Anderson

This paper investigates the active sampling for estimation of approximately bandlimited graph signals. With the assistance of a graph filter, an approximately bandlimited graph signal can be formulated by a Gaussian random field over the…

Signal Processing · Electrical Eng. & Systems 2019-02-19 Sijie Lin , Xuan Xie , Hui Feng , Bo Hu

We provide a method for estimating spectral gaps in low-dimensional systems. Unlike traditional phase estimation, our approach does not require ancillary qubits nor does it require well characterised gates. Instead, it only requires the…

Quantum Physics · Physics 2016-06-22 Ilia Zintchenko , Nathan Wiebe

Ultrafast experiments require precise temporal characterization of laser pulses, where pulse reconstruction is typically achieved through iterative retrieval algorithms. In this context, the amplitude swing technique has emerged as a robust…

Optics · Physics 2025-06-12 Cristian Barbero , Íñigo J. Sola , Benjamín Alonso

Sampling a signal below the Shannon-Nyquist rate causes aliasing, meaning different frequencies to become indistinguishable. It is also well-known that recovering spectral information from a signal using a parametric method can be ill-posed…

Numerical Analysis · Mathematics 2018-10-09 Annie Cuyt , Wen-shin Lee

We developed a Python based framework for astronomical image processing and analysis. Astronomical image loading, normalizing, stacking, and filtering processes represent visible range images from grayscale. Besides, the blending process…

Instrumentation and Methods for Astrophysics · Physics 2024-10-10 Tanmoy Bhowmik , MD Fardin Islam , Kazi Nusrat Tasneem , Rantideb Roy , Rownok Shahariar

Simulation involves predicting responses of a physical system. In this article, we simulate opto-acoustic signals generated in a three-dimensional volume due to absorption of an optical pulse. A separable computational model is developed…

Computational Physics · Physics 2021-07-22 Jason Zalev , Michael C. Kolios

We present a time-domain method to detect and correct spectral alterations of signals by employing statistical characterization of waveforms and a pattern-recognition procedure using simple Artificial Neural Networks. The proposed strategy…

Signal Processing · Electrical Eng. & Systems 2022-12-29 Guillermo H. Bustos , Héctor H. Segnorile

In this paper we present a neural network based estimator system which performs well the frequency extraction from unevenly sampled signals. It uses an unsupervised Hebbian nonlinear neural algorithm to extract the principal components…

Astrophysics · Physics 2007-05-23 R. Tagliaferri , A. Ciaramella , F. Barone , L. Milano

In this article, I show that a recent family of quantum algorithms, based on the quantum amplitude amplification algorithm, can be used to describe a cognitive heuristic called availability bias. The amplitude amplification algorithm is…

Quantum Physics · Physics 2008-10-07 Riccardo Franco

Accurate phase estimation -- the process of assigning phase values between $0$ and $2\pi$ to repetitive or periodic signals -- is a cornerstone in the analysis of oscillatory signals across diverse fields, from neuroscience to robotics,…

Signal Processing · Electrical Eng. & Systems 2026-03-19 Antonio Spallone , Marco Coraggio , Francesco De Lellis , Mario di Bernardo

Sparse phase retrieval aims to recover a $k$-sparse signal from $m$ phaseless measurements. While the theoretically optimal sample complexity for successful recovery is $\Omega(k \log n)$, existing algorithms can only achieve this bound for…

Information Theory · Computer Science 2026-03-30 Mengchu Xu , Yuxuan Zhang , Jian Wang

In this paper the authors describe the problem of acquisition of interfered signals and formulate a filtering problem. A frequency-selective compressed sensing technique is proposed as a solution to this problem. Signal acquisition is…

Information Theory · Computer Science 2015-01-19 Jacek Pierzchlewski , Thomas Arildsen
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