Journal ArticleDOI
Choice of filters for the detection of gravitational waves from coalescing binaries. II. Detection in colored noise.
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In this paper, it is shown how a choice of filters can be made so as not to miss any signal of amplitude larger than a certain minimum value, called the minimal strength.Abstract:
Coalescing systems of compact binary stars are one of the most important sources for the future laser interferometric gravitational wave detectors. The signal from such a source will, in general, be completely swamped out by the photon-counting noise in the interferometer. However, since the wave form can be modeled quite accurately, it is possible to filter the signal out of the noise by the well known technique of matched filtering. The filtering procedure involves correlating the detector output with a copy of the expected signal called a matched filter or a template. When the signal parameters are unknown, as in the case of the coalescing binary signal, it is necessary to correlate the output through a number of filters each with a different set of values for the parameters. The ranges in which the values of the parameters lie are determined from astrophysical considerations and the set of filters must together span the entire ranges of the parameters. In this paper, we show how a choice of filters can be made so as not to miss any signal of amplitude larger than a certain minimum value, called the minimal strength. The number of filters and the spacing between filters in the parameter space are obtained for different values of the minimal strength of the signal. We also present an approximate analytical formula which relates the spacing between filters to the minimal strength. We discuss the problem of detection and false dismissal probabilities for a given data output and how a given set of filters determines these probabilities.read more
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More filters
Journal ArticleDOI
Binary Black Hole Mergers in the First Advanced LIGO Observing Run
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GW150914: First results from the search for binary black hole coalescence with Advanced LIGO
B. P. Abbott,Richard J. Abbott,T. D. Abbott,Matthew Abernathy,Fausto Acernese,Kendall Ackley,C. Adams,Todd Adams,Paolo Addesso,Rana X. Adhikari,V. B. Adya,C. Affeldt,M. Agathos,Kazuhiro Agatsuma,Nancy Aggarwal,Odylio D. Aguiar,Lloyd Paul Aiello,A. Ain,P. Ajith,Benjamin William Allen,A. Allocca,P. A. Altin,S. B. Anderson,W. G. Anderson,Koji Arai,M. C. Araya,C. C. Arceneaux,J. S. Areeda,N. Arnaud,K. G. Arun,S. Ascenzi,Gregory Ashton,M. Ast,S. M. Aston,P. Astone,P. Aufmuth,C. Aulbert,Stanislav Babak,P. Bacon,M. K. M. Bader,P. T. Baker,F. Baldaccini,G. Ballardin,S. W. Ballmer,J. C. Barayoga,S. E. Barclay,B. C. Barish,D. Barker,Fabrizio Barone,B. Barr,Lisa Barsotti,M. Barsuglia,Dániel Barta,J. G. Bartlett,Imre Bartos,Riccardo Bassiri,A. Basti,J. C. Batch,C. Baune,Viswanath Bavigadda,Marco Bazzan,B. Behnke,Michał Bejger,A. S. Bell,C. J. Bell,B. K. Berger,J. Bergman,G. Bergmann,Christopher P. L. Berry,D. Bersanetti,Alessandro Bertolini,J. Betzwieser,Swetha Bhagwat,R. Bhandare,I. A. Bilenko,G. Billingsley,J. Birch,R. Birney,Sebastien Biscans,A. Bisht,M. Bitossi,Christopher M. Biwer,Marie-Anne Bizouard,J. K. Blackburn,Carl Blair,David Blair,R. M. Blair,Steven Bloemen,O. Bock,T. P. Bodiya,M. Boer,G. Bogaert,C. Bogan,A. Bohe,K. Bohémier,P. Bojtos,Charlotte Bond,François Bondu,R. Bonnand,B. A. Boom,R. Bork,V. Boschi,Suvadeep Bose,Y. Bouffanais,A. Bozzi,C. Bradaschia,Patrick Brady,Vladimir B. Braginsky,M. Branchesi,J. E. Brau,Tristan Briant,A. Brillet,M. Brinkmann,V. Brisson,P. Brockill,A. F. Brooks,Duncan A. Brown,D. D. Brown,N. M. Brown,C. C. Buchanan,Aaron Buikema,Tomasz Bulik,H. J. Bulten,Alessandra Buonanno,D. Buskulic,C. Buy,Robert L. Byer,Miriam Cabero,Laura Cadonati,Gianpietro Cagnoli,C. Cahillane,J. Calderón Bustillo,T. A. Callister,Enrico Calloni,Jordan Camp,Kipp Cannon,Junwei Cao,Collin D. Capano,E. Capocasa,F. Carbognani,S. Caride,J. Casanueva Diaz,C. Casentini,Sarah Caudill,Marco Cavaglia,F. Cavalier,R. Cavalieri,G. Cella,Carlos Cepeda,L. Cerboni Baiardi,G. Cerretani,E. Cesarini,R. Chakraborty,T. Chalermsongsak,S. J. Chamberlin,M. Chan,Shiuh Chao,P. Charlton,E. Chassande-Mottin,H. S. Chen,Yi Chen,C. Cheng,Andrea Chincarini,A. Chiummo,H. S. Cho,M. Cho,Jong H. Chow,Nelson Christensen,Q. Chu,Sheon Chua,S. Chung,Giacomo Ciani,F. Clara,John A. Clark,J. H. Clayton,F. Cleva,E. Coccia,Pierre-François Cohadon,Thomas Cokelaer,A. Colla,Christophe Collette,L. R. Cominsky,M. Constancio,A. Conte,L. Conti,Douglas R. Cook,Thomas Corbitt,Neil J. Cornish,Alessandra Corsi,Samuele Cortese,C. A. Costa,Michael W. Coughlin,S. B. Coughlin,J.-P. Coulon,S. T. Countryman,P. Couvares,E. E. Cowan,David Coward,M. J. Cowart,D. C. Coyne,R. Coyne,Kieran Craig,Jolien D. E. Creighton,Teviet Creighton,Jonathan Cripe,S. G. Crowder,A. Cumming,L. Cunningham,E. Cuoco,T. Dal Canton,S. L. Danilishin,S. D'Antonio,Karsten Danzmann,N. S. Darman,V. Dattilo,I. Dave,H. P. Daveloza,M. Davier,Gavin Davies,E. J. Daw,R. Day,Soumi De,D.B. DeBra,G. Debreczeni,Jerome Degallaix,M. De Laurentis,Samuel Deléglise,W. Del Pozzo,T. Denker,Thomas Dent,H. Dereli,Vladimir Dergachev,R. T. DeRosa,R. De Rosa,R. DeSalvo,Sanjeev Dhurandhar,M. C. Díaz,A. Dietz,L. Di Fiore,M. Di Giovanni,A. Di Lieto,S. Di Pace,I. Di Palma,A. Di Virgilio,G. Dojcinoski,V. Dolique,F. Donovan,K. L. Dooley,S. Doravari,R. Douglas,T. P. Downes,M. Drago,M. Drago,R. W. P. Drever,J. C. Driggers,Zhihui Du,M. Ducrot,S. E. Dwyer,T. B. Edo,M. C. Edwards,A. Effler,Heinz-Bernd Eggenstein,P. Ehrens,J. Eichholz,S. S. Eikenberry,W. Engels,Reed Essick,T. Etzel,Matthew Evans,Timothy Evans,R. Everett,M. Factourovich,V. Fafone,H. Fair,Stephen Fairhurst,Xiaohui Fan,Qi Fang,S. Farinon,Ben Farr,Will M. Farr,Marc Favata,M. Fays,H. Fehrmann,Martin M. Fejer,I. Ferrante,E. C. Ferreira,Federico Ferrini,F. Fidecaro,I. Fiori,D. Fiorucci,Rebecca Fisher,R. Flaminio,M. Fletcher,N. Fotopoulos,J.-D. Fournier,S. Franco,S. Frasca,F. Frasconi,M. A. Frei,Z. Frei,Andreas Freise,R. Frey,V. Frey,T. T. Fricke,Peter Fritschel,V. V. Frolov,P. Fulda,M. Fyffe,H. A. G. Gabbard,Jonathan R. Gair,Luca Gammaitoni,S. G. Gaonkar,F. Garufi,Alberto Gatto,G. Gaur,Neil Gehrels,G. Gemme,Bruce Gendre,E. Genin,A. Gennai,Jimin George,László Á. Gergely,V. Germain,Archisman Ghosh,Sourav Ghosh,J. A. Giaime,K. D. Giardina,A. Giazotto,Karl Gill,A. Glaefke,Evan Goetz,R. Goetz,Lisa M. Goggin,László Gondán,Gabriela Gonzalez,J. M. Gonzalez Castro,Achamveedu Gopakumar,N. A. Gordon,Michael L. Gorodetsky,S. E. Gossan,M. Gosselin,R. Gouaty,C. Graef,P. B. Graff,M. Granata,A. Grant,Slawomir Gras,C. Gray,G. Greco,A. C. Green,Paul J. Groot,Hartmut Grote,S. Grunewald,G. M. Guidi,X. Guo,A. Gupta,M. K. Gupta,K. E. Gushwa,E. K. Gustafson,R. Gustafson,J. J. Hacker,B. R. Hall,E. D. Hall,G. D. Hammond,M. Haney,M. M. Hanke,J. Hanks,Chad Hanna,Mark Hannam,J. Hanson,T. Hardwick,Jan Harms,G. M. Harry,I. W. Harry,M. J. Hart,M. T. Hartman,Carl-Johan Haster,K. Haughian,Antoine Heidmann,M. C. Heintze,H. Heitmann,Patrice Hello,G. Hemming,Martin Hendry,Ik Siong Heng,J. Hennig,A. W. Heptonstall,M. Heurs,Stefan Hild,D. Hoak,K. A. Hodge,David Jonathan Hofman,S. E. Hollitt,K. Holt,Daniel E. Holz,Philip F. Hopkins,D. J. Hosken,J. H. Hough,E. A. Houston,Eric Howell,Yi-Ming Hu,S. Huang,E. A. Huerta,D. Huet,B. Hughey,Sascha Husa,S. H. Huttner,T. Huynh-Dinh,A. Idrisy,N. Indik,D. R. Ingram,R. Inta,H. N. Isa,J. M. Isac,Maximiliano Isi,G. Islas,T. Isogai,Bala R. Iyer,K. Izumi,Thibaut Jacqmin,H. J. Jang,Karan Jani,Piotr Jaranowski,S. Jawahar,F. Jiménez-Forteza,W. W. Johnson,David Jones,G. T. Jones,Roger Jones,R. J. G. Jonker,Li Ju,K. Haris,C. V. Kalaghatgi,Vicky Kalogera,S. Kandhasamy,G. Kang,J. B. Kanner,S. Karki,M. Kasprzack,Erik Katsavounidis,W. Katzman,S. Kaufer,Tejinder Kaur,K. Kawabe,F. Kawazoe,Fabien Kéfélian,M. S. Kehl,David Keitel,D. B. Kelley,W. Kells,Drew Keppel,R. Kennedy,J. S. Key,Alexander Khalaidovski,F. Y. Khalili,Imran Khan,Sebastian Khan,Zahoor Ali Khan,Efim A. Khazanov,N. Kijbunchoo,Chi-Woong Kim,Jinsook Kim,Kyungmin Kim,Nam Gyu Kim,Namjun Kim,Y. M. Kim,E. J. King,P. J. King,D. L. Kinzel,J. S. Kissel,L. Kleybolte,S. Klimenko,S. M. Koehlenbeck,K. Kokeyama,S. Koley,V. Kondrashov,Antonios Kontos,M. Korobko,W. Z. Korth,I. Kowalska,D. B. Kozak,V. Kringel,Badri Krishnan,A. Królak,C. Krueger,G. Kuehn,P. Kumar,L. Kuo,A. Kutynia,B. D. Lackey,M. Landry,J. S. Lange,B. Lantz,Paul D. Lasky,Albert Lazzarini,C. Lazzaro,P. Leaci,S. Leavey,E. O. Lebigot,Chang-Hwan Lee,Hyun Lee,Ho-Gyu Lee,Kejia Lee,A. Lenon,M. Leonardi,J. R. Leong,N. Leroy,N. Letendre,Yuri Levin,B. M. Levine,Tjonnie G. F. Li,Adam A. Libson,Tyson Littenberg,N. A. Lockerbie,J. Logue,A. L. Lombardi,J. E. Lord,M. Lorenzini,V. Loriette,M. Lormand,G. Losurdo,J. D. Lough,Harald Lück,Andrew Lundgren,J. Luo,Ryan Lynch,Y. Ma,Timothy MacDonald,B. Machenschalk,M. MacInnis,D. M. Macleod,F. Magaña-Sandoval,R. M. Magee,M. Mageswaran,Ettore Majorana,I. Maksimovic,V. Malvezzi,N. Man,Ilya Mandel,Vuk Mandic,V. Mangano,G. L. Mansell,Magnus Manske,M. Mantovani,Fabio Marchesoni,F. Marion,S. Márka,Z. Márka,A. S. Markosyan,E. Maros,F. Martelli,Lionel Martellini,I. W. Martin,R. M. Martin,Denis Martynov,J. N. Marx,K. Mason,A. Masserot,T. J. Massinger,M. Masso-Reid,Fabrice Matichard,L. Matone,Nergis Mavalvala,N. Mazumder,G. Mazzolo,Robert J. McCarthy,David E. McClelland,S. McCormick,S. C. McGuire,G. McIntyre,J. McIver,D. J. A. McKechan,D. J. McManus,Sean T. McWilliams,D. Meacher,G. D. Meadors,J. Meidam,Andrew Melatos,G. Mendell,D. Mendoza-Gandara,R. A. Mercer,E. L. Merilh,M. Merzougui,S. Meshkov,E. Messaritaki,C. Messenger,Cody Messick,P. M. Meyers,F. Mezzani,Haixing Miao,C. Michel,H. Middleton,Eugeniy E. Mikhailov,Leopoldo Milano,John Miller,Margaret Millhouse,Y. Minenkov,J. Ming,S. Mirshekari,Chandra Kant Mishra,S. Mitra,V. P. Mitrofanov,Guenakh Mitselmakher,R. Mittleman,A. Moggi,M. Mohan,Satyanarayan Ray Pitambar Mohapatra,M. Montani,Blake Moore,Christopher J. Moore,D. Moraru,G. Moreno,S. R. Morriss,Kasem Mossavi,B. Mours,C. M. Mow-Lowry,C. L. Mueller,Guido Mueller,A. W. Muir,Arunava Mukherjee,Debnandini Mukherjee,Soma Mukherjee,N. Mukund,A. Mullavey,Jesper Munch,David Murphy,P. G. Murray,A. Mytidis,I. Nardecchia,L. Naticchioni,R. K. Nayak,V. Necula,K. Nedkova,Gijs Nelemans,M. Neri,A. Neunzert,G. P. Newton,T. T. Nguyen,Alex B. Nielsen,Samaya Nissanke,A. Nitz,F. Nocera,D. Nolting,M. E. Normandin,L. K. Nuttall,J. Oberling,Evan Ochsner,J. O'Dell,Eric Oelker,G. H. Ogin,John J. Oh,Seog Oh,F. Ohme,M. Oliver,P. Oppermann,Richard J. Oram,B. O'Reilly,Richard O'Shaughnessy,David J. Ottaway,R. S. Ottens,H. Overmier,Benjamin J. Owen,Archana Pai,S. A. Pai,J. R. Palamos,O. V. Palashov,C. Palomba,A. Pal-Singh,Howard Pan,Yi Pan,Chris Pankow,Francesco Pannarale,B. C. Pant,F. Paoletti,A. Paoli,Maria Alessandra Papa,H. R. Paris,William Parker,D. Pascucci,A. Pasqualetti,R. Passaquieti,D. Passuello,B. Patricelli,Z. Patrick,B. L. Pearlstone,M. Pedraza,R. Pedurand,Larne Pekowsky,A. Pele,S. Penn,A. Perreca,M. Phelps,O. J. Piccinni,M. Pichot,F. Piergiovanni,Vincenzo Pierro,G. Pillant,L. Pinard,Innocenzo M. Pinto,Matthew Pitkin,Rosa Poggiani,P. Popolizio,A. Post,Jade Powell,J. Prasad,V. Predoi,S. S. Premachandra,T. Prestegard,Larry R. Price,M. Prijatelj,Maria Ilaria Del Principe,S. Privitera,G. A. Prodi,L. Prokhorov,O. Puncken,M. Punturo,P. Puppo,M. Pürrer,H. Qi,Jiayi Qin,V. Quetschke,E. A. Quintero,R. Quitzow-James,F. J. Raab,D. S. Rabeling,H. Radkins,P. Raffai,S. Raja,Malik Rakhmanov,P. Rapagnani,Vivien Raymond,M. Razzano,V. Re,J. F. Read,C. M. Reed,Tania Regimbau,L. Rei,Stuart Reid,David H. Reitze,H. Rew,Steven Reyes,F. Ricci,K. Riles,N. A. Robertson,R. Robie,F. Robinet,C. Robinson,A. Rocchi,A. Rodriguez,L. Rolland,J. G. Rollins,V. J. Roma,Rocco Romano,Gleb Romanov,J. H. Romie,D. Rosińska,Sheila Rowan,A. Rüdiger,P. Ruggi,Kevin M. Ryan,Surabhi Sachdev,T. Sadecki,Laleh Sadeghian,L. Salconi,M. Saleem,Francesco Salemi,A. Samajdar,L. Sammut,E. J. Sanchez,V. Sandberg,B. Sandeen,J. R. Sanders,Lucía Santamaría,B. Sassolas,Bangalore Suryanarayana Sathyaprakash,Peter R. Saulson,O. E. S. Sauter,R. L. Savage,A. Sawadsky,P. Schale,Roland Schilling,J. Schmidt,Patricia Schmidt,Roman Schnabel,R. M. S. Schofield,A. Schönbeck,E. Schreiber,D. Schuette,Bernard F. Schutz,John D. Scott,Susan M. Scott,D. Sellers,A. S. Sengupta,D. Sentenac,V. Sequino,A. M. Sergeev,G. Serna,Y. Setyawati,A. Sevigny,Daniel A. Shaddock,Sweta Shah,M. S. Shahriar,M. Shaltev,Z. Shao,B. Shapiro,P. Shawhan,A. Sheperd,D. H. Shoemaker,D. M. Shoemaker,K. Siellez,Xavier Siemens,D. Sigg,A. D. Silva,D. Simakov,A. Singer,Leo Singer,Aviral Singh,Robinjeet Singh,A. Singhal,A. M. Sintes,B. J. J. Slagmolen,J. R. Smith,Nicholas Smith,Rory Smith,Edwin J. Son,B. Sorazu,Fiodor Sorrentino,Tarun Souradeep,A. K. Srivastava,A. Staley,M. Steinke,Jessica Steinlechner,Sebastian Steinlechner,D. Steinmeyer,B. C. Stephens,Robert Stone,Kenneth A. Strain,N. Straniero,G. Stratta,N. A. Strauss,S. E. Strigin,Riccardo Sturani,A. L. Stuver,T. Z. Summerscales,L. Sun,P. J. Sutton,B. L. Swinkels,Marek Szczepanczyk,M. Tacca,D. Talukder,David B. Tanner,Márton Tápai,S. P. Tarabrin,Andrea Taracchini,R. Taylor,T. Theeg,M. P. Thirugnanasambandam,E. G. Thomas,Michael Thomas,P. Thomas,K. A. Thorne,Kip S. Thorne,Eric Thrane,Shubhanshu Tiwari,V. Tiwari,K. V. Tokmakov,C. Tomlinson,M. Tonelli,C. V. Torres,C. I. Torrie,D. Töyrä,F. Travasso,G. Traylor,Daniele Trifirò,M. C. Tringali,L. Trozzo,Maggie Tse,M. Turconi,D. Tuyenbayev,D. Ugolini,C. S. Unnikrishnan,A. L. Urban,S. A. Usman,H. Vahlbruch,G. Vajente,G. Valdes,N. van Bakel,M. van Beuzekom,J. F. J. van den Brand,C. Van Den Broeck,D. C. Vander-Hyde,L. van der Schaaf,J. V. van Heijningen,A. A. van Veggel,M. Vardaro,S. Vass,M. Vasúth,Ruslan Vaulin,Alberto Vecchio,G. Vedovato,John Veitch,P. J. Veitch,K. Venkateswara,D. Verkindt,F. Vetrano,A. Viceré,Serena Vinciguerra,D. J. Vine,J-Y. Vinet,Salvatore Vitale,T. Vo,H. Vocca,C. Vorvick,D. V. Voss,W. D. 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TL;DR: In this paper, the results of a matched-filter search using relativistic models of compact-object binaries that recovered GW150914 as the most significant event during the coincident observations between the two LIGO detectors were reported.