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A method is presented for investigating the periodic signal content of time series in which a number of signals is present, such as arising from the observation of multiperiodic oscillating stars in observational asteroseismology. Standard…

Astrophysics · Physics 2007-05-23 Frank P. Pijpers

The measurement of large scale anisotropies in cosmic ray arrival directions is generally performed through harmonic analyses of the right ascension distribution as a function of energy. These measurements are challenging due to the small…

Instrumentation and Methods for Astrophysics · Physics 2013-07-29 Olivier Deligny , Francesco Salamida

A cosmic ray observatory with full-sky coverage can exploit standard anisotropy analysis methods that do not work if part of the celestial sphere is never seen. In particular, the distribution of arrival directions can be fully…

Astrophysics · Physics 2009-10-31 Paul Sommers

We study the possibility to extract the multipolar moments of an underlying distribution from a set of cosmic rays observed with non-uniform or even partial sky coverage. We show that if the degree is assumed to be upper bounded by $L$,…

Astrophysics · Physics 2008-11-26 Pierre Billoir , Olivier Deligny

Despite the fact that the physics of the cosmic microwave background anisotropies is most naturally expressed in Fourier space, pixelised maps are almost always used in the analysis and simulation of microwave data. A complementary approach…

Spherical harmonic moments are well-suited for capturing anisotropy at any scale in the flux of cosmic rays. An unambiguous measurement of the full set of spherical harmonic coefficients requires full-sky coverage. This can be achieved by…

High Energy Astrophysical Phenomena · Physics 2014-10-09 The Pierre Auger , Telescope Array Collaborations , : , A. Aab , P. Abreu , M. Aglietta , E. J. Ahn , I. Al Samarai , I. F. M. Albuquerque , I. Allekotte , J. Allen , P. Allison , A. Almela , J. Alvarez Castillo , J. Alvarez-Muñiz , R. Alves Batista , M. Ambrosio , A. Aminaei , L. Anchordoqui , S. Andringa , C. Aramo , F. Arqueros , H. Asorey , P. Assis , J. Aublin , M. Ave , M. Avenier , G. Avila , A. M. Badescu , K. B. Barber , J. Bäuml , C. Baus , J. J. Beatty , K. H. Becker , J. A. Bellido , C. Berat , X. Bertou , P. L. Biermann , P. Billoir , M. Blanco , C. Bleve , H. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , R. Bonino , N. Borodai , J. Brack , I. Brancus , P. Brogueira , W. C. Brown , P. Buchholz , A. Bueno , S. Buitink , M. Buscemi , K. S. Caballero-Mora , B. Caccianiga , L. Caccianiga , M. Candusso , L. Caramete , R. Caruso , A. Castellina , G. Cataldi , L. Cazon , R. Cester , A. G. Chavez , A. Chiavassa , J. A. Chinellato , J. Chudoba , M. Cilmo , R. W. Clay , G. Cocciolo , R. Colalillo , A. Coleman , L. Collica , M. R. Coluccia , R. Conceição , F. Contreras , M. J. Cooper , A. Cordier , S. Coutu , C. E. Covault , J. Cronin , A. Curutiu , R. Dallier , B. Daniel , S. Dasso , K. Daumiller , B. R. Dawson , R. M. de Almeida , M. De Domenico , S. J. de Jong , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , V. de Souza , L. del Peral , O. Deligny , H. Dembinski , N. Dhital , C. Di Giulio , A. Di Matteo , J. C. Diaz , M. L. Díaz Castro , F. Diogo , C. Dobrigkeit , W. Docters , J. C. D'Olivo , A. Dorofeev , Q. Dorosti Hasankiadeh , M. T. Dova , J. Ebr , R. Engel , M. Erdmann , M. Erfani , C. O. Escobar , J. Espadanal , A. Etchegoyen , P. Facal San Luis , H. Falcke , K. Fang , G. Farrar , A. C. Fauth , N. Fazzini , A. P. Ferguson , M. Fernandes , B. Fick , J. M. Figueira , A. Filevich , A. Filipčič , B. D. Fox , O. Fratu , U. Fröhlich , B. Fuchs , T. Fuji , R. Gaior , B. García , S. T. Garcia Roca , D. Garcia-Gamez , D. Garcia-Pinto , G. Garilli , A. Gascon Bravo , F. Gate , H. Gemmeke , P. L. Ghia , U. Giaccari , M. Giammarchi , M. Giller , C. Glaser , H. Glass , M. Gómez Berisso , P. F. Gómez Vitale , P. Gonçalves , J. G. Gonzalez , N. González , B. Gookin , A. Gorgi , P. Gorham , P. Gouffon , S. Grebe , N. Griffith , A. F. Grillo , T. D. Grubb , Y. Guardincerri , F. Guarino , G. P. Guedes , M. R. Hampel , P. Hansen , D. Harari , T. A. Harrison , S. Hartmann , J. L. Harton , A. Haungs , T. Hebbeker , D. Heck , P. Heimann , A. E. Herve , G. C. Hill , C. Hojvat , N. Hollon , E. Holt , P. Homola , J. R. Hörandel , P. Horvath , M. Hrabovský , D. Huber , T. Huege , A. Insolia , P. G. Isar , K. Islo , I. Jandt , S. Jansen , C. Jarne , M. Josebachuili , A. Kääpä , O. Kambeitz , K. H. Kampert , P. Kasper , I. Katkov , B. Kégl , B. Keilhauer , A. Keivani , E. Kemp , R. M. Kieckhafer , H. O. Klages , M. Kleifges , J. Kleinfeller , R. Krause , N. Krohm , O. Krömer , D. Kruppke-Hansen , D. Kuempel , N. Kunka , G. La Rosa , D. LaHurd , L. Latronico , R. Lauer , M. Lauscher , P. Lautridou , S. Le Coz , M. S. A. B. Leão , D. Lebrun , P. Lebrun , M. A. Leigui de Oliveira , A. Letessier-Selvon , I. Lhenry-Yvon , K. Link , R. López , A. Lopez Agüera , K. Louedec , J. Lozano Bahilo , L. Lu , A. Lucero , M. Ludwig , M. C. Maccarone , M. Malacari , S. Maldera , M. Mallamaci , J. Maller , D. Mandat , P. Mantsch , A. G. Mariazzi , V. Marin , I. C. Mariş , G. Marsella , D. Martello , L. Martin , H. Martinez , O. Martínez Bravo , D. Martraire , J. J. Masías Meza , H. J. Mathes , S. Mathys , J. A. J. Matthews , J. Matthews , G. Matthiae , D. Maurel , D. Maurizio , E. Mayotte , P. O. Mazur , C. Medina , G. Medina-Tanco , M. Melissas , D. Melo , E. Menichetti , A. Menshikov , S. Messina , R. Meyhandan , S. Mićanović , M. I. Micheletti , L. Middendorf , I. A. Minaya , L. Miramonti , B. Mitrica , L. Molina-Bueno , S. Mollerach , M. Monasor , D. Monnier Ragaigne , F. Montanet , C. Morello , M. Mostafá , C. A. Moura , M. A. Muller , G. Müller , M. Münchmeyer , R. Mussa , G. Navarra , S. Navas , P. Necesal , L. Nellen , A. Nelles , J. Neuser , M. Niechciol , L. Niemietz , T. Niggemann , D. Nitz , D. Nosek , V. Novotny , L. Nožka , L. Ochilo , A. Olinto , M. Oliveira , N. Pacheco , D. Pakk Selmi-Dei , M. Palatka , J. Pallotta , N. Palmieri , P. Papenbreer , G. Parente , A. Parra , T. Paul , M. Pech , J. Pekala , R. Pelayo , I. M. Pepe , L. Perrone , R. Pesce , E. Petermann , C. Peters , S. Petrera , A. Petrolini , Y. Petrov , J. Phuntsok , R. Piegaia , T. Pierog , P. Pieroni , M. Pimenta , V. Pirronello , M. Platino , M. Plum , A. Porcelli , C. Porowski , R. R. Prado , P. Privitera , M. Prouza , V. Purrello , E. J. Quel , S. Querchfeld , S. Quinn , J. Rautenberg , O. Ravel , D. Ravignani , B. Revenu , J. Ridky , S. Riggi , M. Risse , P. Ristori , V. Rizi , J. Roberts , W. Rodrigues de Carvalho , I. Rodriguez Cabo , G. Rodriguez Fernandez , J. Rodriguez Rojo , M. D. Rodríguez-Frías , G. Ros , J. Rosado , T. Rossler , M. Roth , E. Roulet , A. C. Rovero , S. J. Saffi , A. Saftoiu , F. Salamida , H. Salazar , A. Saleh , F. Salesa Greus , G. Salina , F. Sánchez , P. Sanchez-Lucas , C. E. Santo , E. Santos , E. M. Santos , F. Sarazin , B. Sarkar , R. Sarmento , R. Sato , N. Scharf , V. Scherini , H. Schieler , P. Schiffer , O. Scholten , H. Schoorlemmer , P. Schovánek , A. Schulz , J. Schulz , J. Schumacher , S. J. Sciutto , A. Segreto , M. Settimo , A. Shadkam , R. C. Shellard , I. Sidelnik , G. Sigl , O. Sima , A. Śmiał , R. Šmída , G. R. Snow , P. Sommers , J. Sorokin , R. Squartini , Y. N. Srivastava , S. Stanič , J. Stapleton , J. Stasielak , M. Stephan , A. Stutz , F. Suarez , T. Suomijärvi , A. D. Supanitsky , M. S. Sutherland , J. Swain , Z. Szadkowski , M. Szuba , O. A. Taborda , A. Tapia , M. Tartare , V. M. Theodoro , C. Timmermans , C. J. Todero Peixoto , G. Toma , L. Tomankova , B. Tomé , A. Tonachini , G. Torralba Elipe , D. Torres Machado , P. Travnicek , E. Trovato , M. Tueros , R. Ulrich , M. Unger , M. Urban , J. F. Valdés Galicia , I. Valiño , L. Valore , G. van Aar , A. M. van den Berg , S. van Velzen , A. van Vliet , E. Varela , B. Vargas Cárdenas , G. Varner , J. R. Vázquez , R. A. Vázquez , D. Veberič , V. Verzi , J. Vicha , M. Videla , L. Villaseñor , B. Vlcek , S. Vorobiov , H. Wahlberg , O. Wainberg , D. Walz , A. A. Watson , M. Weber , K. Weidenhaupt , A. Weindl , F. Werner , A. Widom , L. Wiencke , B. Wilczyńska , H. Wilczyński , M. Will , C. Williams , T. Winchen , D. Wittkowski , B. Wundheiler , S. Wykes , T. Yamamoto , T. Yapici , P. Younk , G. Yuan , A. Yushkov , B. Zamorano , E. Zas , D. Zavrtanik , M. Zavrtanik , I. Zaw , A. Zepeda , J. Zhou , Y. Zhu , M. Zimbres Silva , M. Ziolkowski , R. U. Abbasi , M. Abe , T. Abu-Zayyad , M. Allen , R. Anderson , R. Azuma , E. Barcikowski , J. W. Belz , D. R. Bergman , S. A. Blake , R. Cady , M. J. Chae , B. G. Cheon , J. Chiba , M. Chikawa , W. R. Cho , T. Fujii , M. Fukushima , T. Goto , W. Hanlon , Y. Hayashi , N. Hayashida , K. Hibino , K. Honda , D. Ikeda , N. Inoue , T. Ishii , R. Ishimori , H. Ito , D. Ivanov , C. C. H. Jui , K. Kadota , F. Kakimoto , O. Kalashev , K. Kasahara , H. Kawai , S. Kawakami , S. Kawana , K. Kawata , E. Kido , H. B. Kim , J. H. Kim , J. H. Kim , S. Kitamura , Y. Kitamura , V. Kuzmin , Y. J. Kwon , J. Lan , S. I. Lim , J. P. Lundquist , K. Machida , K. Martens , T. Matsuda , T. Matsuyama , J. N. Matthews , M. Minamino , K. Mukai , I. Myers , K. Nagasawa , S. Nagataki , T. Nakamura , T. Nonaka , A. Nozato , S. Ogio , J. Ogura , M. Ohnishi , H. Ohoka , K. Oki , T. Okuda , M. Ono , A. Oshima , S. Ozawa , I. H. Park , M. S. Pshirkov , D. C. Rodriguez , G. Rubtsov , D. Ryu , H. Sagawa , N. Sakurai , A. L. Sampson , L. M. Scott , P. D. Shah , F. Shibata , T. Shibata , H. Shimodaira , B. K. Shin , J. D. Smith , P. Sokolsky , R. W. Springer , B. T. Stokes , S. R. Stratton , T. A. Stroman , T. Suzawa , M. Takamura , M. Takeda , R. Takeishi , A. Taketa , M. Takita , Y. Tameda , H. Tanaka , K. Tanaka , M. Tanaka , S. B. Thomas , G. B. Thomson , P. Tinyakov , I. Tkachev , H. Tokuno , T. Tomida , S. Troitsky , Y. Tsunesada , K. Tsutsumi , Y. Uchihori , S. Udo , F. Urban , G. Vasiloff , T. Wong , R. Yamane , H. Yamaoka , K. Yamazaki , J. Yang , K. Yashiro , Y. Yoneda , S. Yoshida , H. Yoshii , R. Zollinger , Z. Zundel

The classical Fourier analysis of a time signal, in the discrete sense, provides the frequency content of signal under the assumption of periodicity. Although the original signal can be exactly recovered using an inverse transform, the time…

Fluid Dynamics · Physics 2026-01-06 Vilas J. Shinde

We present a novel method, based on a multiscale approach, for detecting anisotropy signatures in the arrival direction distribution of the highest energy cosmic rays. This method is catalog independent, i.e. it does not depend on the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 M. De Domenico , H. Lyberis

In the last decade, a number of experiments dealt with the problem of measuring the arrival direction distribution of cosmic rays, looking for information on the propagation mechanisms and the identification of their sources. Any deviation…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Roberto Iuppa , Giuseppe Di Sciascio

The measurement of large scale anisotropies in cosmic ray arrival directions at energies above 10^13 eV is performed through the detection of Extensive Air Showers produced by cosmic ray interactions in the atmosphere. The observed…

Instrumentation and Methods for Astrophysics · Physics 2011-08-31 R. Bonino , V. V. Alekseenko , O. Deligny , P. L. Ghia , M. Grigat , A. Letessier-Selvon , H. Lyberis , S. Mollerach , S. Over , E. Roulet

The natural approach to a spectral analysis of data distributed on the sky employs spherical harmonic decomposition. A common problem encountered in practical astronomy is the lack of full sky coverage in the available data. For example,…

Astrophysics · Physics 2009-10-22 Krzysztof M. Gorski

The measurement of large scale patterns or anisotropies in the arrival direction of high energy cosmic rays is an important step towards the understanding of their origin. Such measurements rely on an accurate estimation of the detector…

Astrophysics · Physics 2009-06-23 E. M. Santos , C. Bonifazi , A. Letessier-Selvon

A new algorithm for the stable solution of a three-dimensional scalar inverse problem of acoustic sounding of an inhomogeneous medium in a cylindrical region is proposed. The data of the problem is the complex amplitude of the wave field,…

Numerical Analysis · Mathematics 2022-03-30 Anatoly B. Bakushinsky , Alexander S. Leonov

We propose a new method to determine the dipole (and quadrupole) component of a distribution of cosmic ray arrival directions, which can be applied when there is partial sky coverage and/or inhomogeneous exposure. In its simplest version it…

Astrophysics · Physics 2009-11-11 Silvia Mollerach , Esteban Roulet

A numerical likelihood approach to the determination of cosmic ray anisotropies is presented which offers many advantages over other approaches. It allows a wide range of statistically meaningful hypotheses to be compared even when full sky…

Astrophysics · Physics 2007-05-23 Carlos Hojvat , Thomas P. McCauley , Stephen Reucroft , John D. Swain

We consider the inverse problem of fitting atmospheric dispersion parameters based on time-resolved back-scattered differential absorption Lidar (DIAL) measurements. The obvious advantage of light-based remote sensing modalities is their…

Analysis of PDEs · Mathematics 2023-08-01 Robert Lung , Nick Polydorides

We analyze signal recovery when samples are taken concomitantly from a signal and its Fourier transform. This two-sided sampling framework extends classical one-sided reconstruction and is particularly useful when measurements in either…

Signal Processing · Electrical Eng. & Systems 2026-03-18 Mert Kayaalp , Oleg Szehr

We introduce a new technique for imaging the polarized radio sky using interferometric data. The new approach, which we call Faraday synthesis, combines aperture and rotation measure synthesis imaging and deconvolution into a single…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 M. R. Bell , T. A. Enßlin

A novel approach to improving the performances of confocal scanning imaging is proposed. We experimentally demonstrate its feasibility using acoustic waves. It relies on a new way to encode spatial information using the temporal dimension.…

Quantitative helio- and asteroseismology require very precise measurements of the frequencies, amplitudes, and lifetimes of the global modes of stellar oscillation. It is common knowledge that the precision of these measurements depends on…

Astrophysics · Physics 2009-11-13 Thorsten Stahn , Laurent Gizon
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