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The advent of the Auger Engineering Radio Array (AERA) necessitates the development of a powerful framework for the analysis of radio measurements of cosmic ray air showers. As AERA performs "radio-hybrid" measurements of air shower radio…

Instrumentation and Methods for Astrophysics · Physics 2015-03-17 The Pierre Auger Collaboration , P. Abreu , M. Aglietta , E. J. Ahn , I. F. M. Albuquerque , D. Allard , I. Allekotte , J. Allen , P. Allison , J. Alvarez Castillo , J. Alvarez-Muñiz , M. Ambrosio , A. Aminaei , L. Anchordoqui , S. Andringa , T. Antičić , C. Aramo , E. Arganda , F. Arqueros , H. Asorey , P. Assis , J. Aublin , M. Ave , M. Avenier , G. Avila , T. Bäcker , M. Balzer , K. B. Barber , A. F. Barbosa , R. Bardenet , S. L. C. Barroso , B. Baughman , J. J. Beatty , B. R. Becker , K. H. Becker , J. A. Bellido , S. BenZvi , C. Berat , X. Bertou , P. L. Biermann , P. Billoir , F. Blanco , M. Blanco , C. Bleve , H. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , R. Bonino , N. Borodai , J. Brack , P. Brogueira , W. C. Brown , R. Bruijn , P. Buchholz , A. Bueno , R. E. Burton , K. S. Caballero-Mora , L. Caramete , R. Caruso , A. Castellina , G. Cataldi , L. Cazon , R. Cester , J. Chauvin , A. Chiavassa , J. A. Chinellato , A. Chou , J. Chudoba , R. W. Clay , M. R. Coluccia , R. Conceição , F. Contreras , H. Cook , M. J. Cooper , J. Coppens , A. Cordier , U. Cotti , S. Coutu , C. E. Covault , A. Creusot , A. Criss , J. Cronin , A. Curutiu , S. Dagoret-Campagne , R. Dallier , S. Dasso , K. Daumiller , B. R. Dawson , R. M. de Almeida , M. De Domenico , C. De Donato , S. J. de Jong , G. De La Vega , W. J. M. de Mello Junior , J. R. T. de Mello Neto , I. De Mitri , V. de Souza , K. D. de Vries , G. Decerprit , L. del Peral , O. Deligny , H. Dembinski , A. Denkiewicz , C. Di Giulio , J. C. Diaz , M. L. Díaz Castro , P. N. Diep , C. Dobrigkeit , J. C. D'Olivo , P. N. Dong , A. Dorofeev , J. C. dos Anjos , M. T. Dova , D. D'Urso , I. Dutan , J. Ebr , R. Engel , M. Erdmann , C. O. Escobar , A. Etchegoyen , P. Facal San Luis , H. Falcke , G. Farrar , A. C. Fauth , N. Fazzini , A. P. Ferguson , A. Ferrero , B. Fick , A. Filevich , A. Filipčič , S. Fliescher , C. E. Fracchiolla , E. D. Fraenkel , U. Fröhlich , B. Fuchs , R. F. Gamarra , S. Gambetta , B. García , D. García Gámez , D. Garcia-Pinto , A. Gascon , H. Gemmeke , K. Gesterling , P. L. Ghia , U. Giaccari , M. Giller , H. Glass , M. S. Gold , G. Golup , F. Gomez Albarracin , M. Gómez Berisso , P. Gonçalves , D. Gonzalez , J. G. Gonzalez , B. Gookin , D. Góra , A. Gorgi , P. Gouffon , S. R. Gozzini , E. Grashorn , S. Grebe , N. Griffith , M. Grigat , A. F. Grillo , Y. Guardincerri , F. Guarino , G. P. Guedes , J. D. Hague , P. Hansen , D. Harari , S. Harmsma , J. L. Harton , A. Haungs , T. Hebbeker , D. Heck , A. E. Herve , C. Hojvat , V. C. Holmes , P. Homola , J. R. Hörandel , A. Horneffer , M. Hrabovský , T. Huege , A. Insolia , F. Ionita , A. Italiano , S. Jiraskova , K. Kadija , K. H. Kampert , P. Karhan , T. Karova , P. Kasper , B. Kégl , B. Keilhauer , A. Keivani , J. L. Kelley , E. Kemp , R. M. Kieckhafer , H. O. Klages , M. Kleifges , J. Kleinfeller , J. Knapp , D. -H. Koang , K. Kotera , N. Krohm , O. Krömer , D. Kruppke-Hansen , F. Kuehn , D. Kuempel , J. K. Kulbartz , N. Kunka , G. La Rosa , C. Lachaud , P. Lautridou , M. S. A. B. Leão , D. Lebrun , P. Lebrun , M. A. Leigui de Oliveira , A. Lemiere , A. Letessier-Selvon , I. Lhenry-Yvon , K. Link , R. López , A. Lopez Agüera , K. Louedec , J. Lozano Bahilo , A. Lucero , M. Ludwig , H. Lyberis , C. Macolino , S. Maldera , D. Mandat , P. Mantsch , A. G. Mariazzi , V. Marin , I. C. Maris , H. R. Marquez Falcon , G. Marsella , D. Martello , L. Martin , O. Martínez Bravo , H. J. Mathes , J. Matthews , J. A. J. Matthews , G. Matthiae , D. Maurizio , P. O. Mazur , G. Medina-Tanco , M. Melissas , D. Melo , E. Menichetti , A. Menshikov , P. Mertsch , C. Meurer , S. Mičanović , M. I. Micheletti , W. Miller , L. Miramonti , S. Mollerach , M. Monasor , D. Monnier Ragaigne , F. Montanet , B. Morales , C. Morello , E. Moreno , J. C. Moreno , C. Morris , M. Mostafá , C. A. Moura. , S. Mueller , M. A. Muller , G. Müller , M. Münchmeyer , R. Mussa , G. Navarra , J. L. Navarro , S. Navas , P. Necesal , L. Nellen , A. Nelles , P. T. Nhung , N. Nierstenhoefer , D. Nitz , D. Nosek , L. Nožka , M. Nyklicek , J. Oehlschläger , A. Olinto , P. Oliva , V. M. Olmos-Gilbaja , M. Ortiz , N. Pacheco , D. Pakk Selmi-Dei , M. Palatka , J. Pallotta , N. Palmieri , G. Parente , E. Parizot , A. Parra , J. Parrisius , R. D. Parsons , S. Pastor , T. Paul , M. Pech , J. Pȩkala , R. Pelayo , I. M. Pepe , L. Perrone , R. Pesce , E. Petermann , S. Petrera , P. Petrinca , A. Petrolini , Y. Petrov , J. Petrovic , C. Pfendner , N. Phan , R. Piegaia , T. Pierog , P. Pieroni , M. Pimenta , V. Pirronello , M. Platino , V. H. Ponce , M. Pontz , P. Privitera , M. Prouza , E. J. Quel , J. Rautenberg , O. Ravel , D. Ravignani , B. Revenu , J. Ridky , M. Risse , P. Ristori , H. Rivera , C. Rivière , V. Rizi , C. Robledo , W. Rodrigues de Carvalho , G. Rodriguez , J. Rodriguez Martino , J. Rodriguez Rojo , I. Rodriguez-Cabo , M. D. Rodríguez-Frías , G. Ros , J. Rosado , T. Rossler , M. Roth , B. Rouillé-d'Orfeuil , E. Roulet , A. C. Rovero , C. Rühle , F. Salamida , H. Salazar , G. Salina , F. Sánchez , M. Santander , C. E. Santo , E. Santos , E. M. Santos , F. Sarazin , S. Sarkar , R. Sato , N. Scharf , V. Scherini , H. Schieler , P. Schiffer , A. Schmidt , F. Schmidt , T. Schmidt , O. Scholten , H. Schoorlemmer , J. Schovancova , P. Schovánek , F. Schroeder , S. Schulte , D. Schuster , S. J. Sciutto , M. Scuderi , A. Segreto , D. Semikoz , M. Settimo , A. Shadkam , R. C. Shellard , I. Sidelnik , G. Sigl , A. Śmiałkowski , R. Šmída , G. R. Snow , P. Sommers , J. Sorokin , H. Spinka , R. Squartini , J. Stapleton , J. Stasielak , M. Stephan , A. Stutz , F. Suarez , T. Suomijärvi , A. D. Supanitsky , T. Šuša , M. S. Sutherland , J. Swain , Z. Szadkowski , M. Szuba , A. Tamashiro , A. Tapia , O. Taşcău , R. Tcaciuc , D. Tegolo , N. T. Thao , D. Thomas , J. Tiffenberg , C. Timmermans , D. K. Tiwari , W. Tkaczyk , C. J. Todero Peixoto , B. Tomé , A. Tonachini , P. Travnicek , D. B. Tridapalli , G. Tristram , E. Trovato , M. Tueros , R. Ulrich , M. Unger , M. Urban , J. F. Valdés Galicia , I. Valiño , L. Valore , A. M. van den Berg , B. Vargas Cárdenas , J. R. Vázquez , R. A. Vázquez , D. Veberič , V. Verzi , M. Videla , L. Villaseñor , H. Wahlberg , P. Wahrlich , O. Wainberg , D. Warner , A. A. Watson , M. Weber , K. Weidenhaupt , A. Weindl , S. Westerhoff , B. J. Whelan , G. Wieczorek , L. Wiencke , B. Wilczyńska , H. Wilczyński , M. Will , C. Williams , T. Winchen , L. Winders , M. G. Winnick , M. Wommer , B. Wundheiler , T. Yamamoto , P. Younk , G. Yuan , B. Zamorano , E. Zas , D. Zavrtanik , M. Zavrtanik , I. Zaw , A. Zepeda , M. Ziolkowski

In this work we develop an algorithm for signal reconstruction from the magnitude of its Fourier transform in a situation where some (non-zero) parts of the sought signal are known. Although our method does not assume that the known part…

Optics · Physics 2012-03-06 Eliyahu Osherovich , Michael Zibulevsky , Irad Yavneh

Any object on earth has two fundamental properties: it is finite, and it is made of atoms. Structural information about an object can be obtained from diffraction amplitude measurements that account for either one of these traits.…

Optics · Physics 2015-05-13 S. Marchesini

Usual modal analysis techniques are based on the Fourier transform. Due to the Delta T . Delta f limitation, they perform poorly when the modal overlap mu exceeds 30%. A technique based on a high-resolution analysis algorithm and an…

Data Analysis, Statistics and Probability · Physics 2013-11-04 Kerem Ege , Xavier Boutillon , Bertrand David

Phase retrieval seeks to recover a complex signal from amplitude-only measurements, a challenging nonlinear inverse problem. Current theory and algorithms often ignore signal priors. By contrast, we evaluate here a variety of image priors…

Image and Video Processing · Electrical Eng. & Systems 2025-09-19 Stanislas Ducotterd , Zhiyuan Hu , Michael Unser , Jonathan Dong

A statistical approach based on the interval analysis (IA) is proposed for the analysis of the effects, on the radiation patterns radiated by phased arrays, of random errors and tolerances in the amplitudes and phases of the array-elements…

Signal Processing · Electrical Eng. & Systems 2021-02-10 P. Rocca , N. Anselmi , A. Benoni , A. Massa

A novel phase retrieval algorithm for broadband hyperspectral phase imaging from noisy intensity observations is proposed. It utilizes advantages of the Fourier Transform spectroscopy in the self-referencing optical setup and provides,…

Image and Video Processing · Electrical Eng. & Systems 2020-06-03 Igor Shevkunov , Vladimir Katkovnik , Karen Egiazarian

Fast fluid antenna multiple access (FAMA) is an idea that promises to overcome severe interference in massive access scenarios by reconfiguring the antenna's position at the receiver side on a symbol-by-symbol basis, without the need of…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Noor Waqar , Kai-Kit Wong , Chan-Byoung Chae , Ross Murch

We consider the inverse source problem of determining an acoustic source from multi-frequency phaseless far-field data. By supplementing some reference point sources to the inverse source model, we develop a novel strategy for recovering…

Numerical Analysis · Mathematics 2020-02-11 Deyue Zhang , Yukun Guo , Fenglin Sun , Xianchao Wang

Local Fourier analysis is a commonly used tool to assess the quality and aid in the construction of geometric multigrid methods for translationally invariant operators. In this paper we automate the process of local Fourier analysis and…

Numerical Analysis · Mathematics 2019-07-26 Karsten Kahl , Nils Kintscher

One of the aims of next generation optical interferometric instrumentation is to be able to make use of information contained in the visibility phase to construct high dynamic range images. Radio and optical interferometry are at the two…

This paper is concerned with the inverse source problem of reconstructing an unknown acoustic excitation from phaseless measurements of the radiated fields away at multiple frequencies. It is well known that the non-uniqueness issue is a…

Analysis of PDEs · Mathematics 2018-08-01 Deyue Zhang , Yukun Guo , Jingzhi Li , Hongyu Liu

Radio interferometric data are used to estimate the sky brightness distributions in radio frequencies. Here we focus on estimators of the large-scale structure and the power spectrum of the sky brightness distribution inferred from radio…

Instrumentation and Methods for Astrophysics · Physics 2019-04-17 Prasun Dutta , Meera Nandakumar

Current mm/submm interferometers, like the Atacama Large mm/submm Array (ALMA), use receivers that register the sky signal in a linear polarization basis. In the case of observations performed in full-polarization mode (where the…

Instrumentation and Methods for Astrophysics · Physics 2016-09-21 I. Marti-Vidal , W. H. T. Vlemmings , S. Muller

The Fast Folding Algorithm (FFA) is a phase-coherent search technique for periodic signals. It has rarely been used in radio pulsar searches, having been historically supplanted by the less computationally expensive Fast Fourier Transform…

Instrumentation and Methods for Astrophysics · Physics 2020-08-12 V. Morello , E. D. Barr , B. W. Stappers , E. F. Keane , A. G. Lyne

The analysis of time variability, whether fast variations on time scales well below the second or slow changes over years, is becoming more and more important in high-energy astronomy. Many sophisticated tools are available for data…

Instrumentation and Methods for Astrophysics · Physics 2023-04-05 T. M. Belloni , D. Bhattacharya

Interferometers (e.g. ALMA and NOEMA) allow us to obtain the detailed brightness distribution of astronomical sources in 3 dimensions (R.A., Dec., frequency). However, the spatial correlation of the noise makes it difficult to evaluate the…

Instrumentation and Methods for Astrophysics · Physics 2023-02-21 Takafumi Tsukui , Satoru Iguchi , Ikki Mitsuhashi , Kenichi Tadaki

We present the first full interferometric simulations of galaxy clusters containing radio plasma bubbles as observed by the proposed band 1 receiver system for the ALMA telescope. We discuss the observational requirements for detecting…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-02 Anna M. M. Scaife , Keith J. B. Grainge

Accurate beam modeling is important in many radio astronomy applications. In this paper, we focus on beam modeling for 21-cm intensity mapping experiments using radio interferometers, though the techniques also apply to single dish…

Instrumentation and Methods for Astrophysics · Physics 2025-09-16 Michael J. Wilensky , Philip Bull , Nicolas Fagnoni

We summarise the mathematical foundation of the holographic method of measuring the reflector profile of an antenna or radio telescope. In particular, we treat the case, where the signal source is located at a finite distance from the…

Astrophysics · Physics 2016-11-18 J. W. M. Baars , R. Lucas , J. G. Mangum , J. A. Lopez-Perez