{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T14:27:02Z","timestamp":1775744822254,"version":"3.50.1"},"reference-count":47,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2011,12,1]],"date-time":"2011-12-01T00:00:00Z","timestamp":1322697600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Signal Process."],"published-print":{"date-parts":[[2011,12]]},"DOI":"10.1109\/tsp.2011.2164914","type":"journal-article","created":{"date-parts":[[2011,8,16]],"date-time":"2011-08-16T19:15:44Z","timestamp":1313522144000},"page":"5930-5943","source":"Crossref","is-referenced-by-count":13,"title":["Modulated Oscillations in Three Dimensions"],"prefix":"10.1109","volume":"59","author":[{"given":"Jonathan M.","family":"Lilly","sequence":"first","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"crossref","first-page":"1014","DOI":"10.1190\/1.1440994","article-title":"Complex seismic trace analysis","volume":"44","author":"taner","year":"1979","journal-title":"Geophys"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2050935"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1117\/12.948504","article-title":"Instantaneous frequency, its standard deviation and multicomponent signals","volume":"975","author":"cohen","year":"1988","journal-title":"SPIE Adv Algorithms and Architect Signal Process III"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/78.558469"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/5.135376"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1070\/PU1977v020n12ABEH005479"},{"key":"ref37","author":"mallat","year":"1999","journal-title":"A Wavelet Tour of Signal Processing"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/18.119728"},{"key":"ref35","author":"cohen","year":"1995","journal-title":"Time-Frequency Analysis Theory and Applications"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.1989.266910"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/78.485933"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/0011-7471(72)90002-2"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2008.927459"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1190\/1.1442177"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1190\/1.2194511"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.5194\/npg-13-467-2006"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2008.925961"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2031729"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.1973.tb02404.x"},{"key":"ref18","first-page":"195","article-title":"Comments on polarization and coherence","volume":"48","author":"samson","year":"1980","journal-title":"J Geophys"},{"key":"ref19","doi-asserted-by":"crossref","DOI":"10.1190\/1.1441149","article-title":"Data-adaptive polarization filters for multichannel geophysical data","volume":"46","author":"samson","year":"1981","journal-title":"Geophys"},{"key":"ref28","first-page":"429","article-title":"Theory of communication","volume":"93","author":"gabor","year":"1946","journal-title":"Proc IEE"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1175\/2008JPO3822.1"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1098\/rspa.2002.1050","article-title":"Polarization phase relationships via multiple morse wavelets. II. Data analysis","volume":"459","author":"olhede","year":"2003","journal-title":"Proc Roy Soc Lond A Mater"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1175\/2008JPO3821.1"},{"key":"ref6","author":"hestenes","year":"1999","journal-title":"New Foundations for Classical Mechanics"},{"key":"ref29","first-page":"61","article-title":"Theorie et application de la notion de signal analytic","volume":"2a","author":"ville","year":"1948","journal-title":"Cables et Transmiss"},{"key":"ref5","first-page":"1881","author":"gibbs","year":"0","journal-title":"Elements of Vector Analysis"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.1980.tb04308.x"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.1977.tb04208.x"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0485(2000)030<0641:LMOWAT>2.0.CO;2"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1029\/JB092iB12p12664"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0426(1996)013<1230:ALF>2.0.CO;2"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1684(97)80003-5"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.1983.tb02825.x"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1029\/JB092iB12p12675"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1982.12433"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/ACSSC.2009.5469858"},{"key":"ref21","first-page":"115","article-title":"The spectral matrix, eigenvalues, and principal components in the analysis of multichannel geophysical data","volume":"1","author":"samson","year":"1983","journal-title":"Ann Geophys"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0485(1978)008<0627:OTIOOC>2.0.CO;2"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"755","DOI":"10.1785\/BSSA0870030755","article-title":"Estimation of slowness vectors and their uncertainties using multi-wavelet seismic array processing","volume":"87","author":"bear","year":"1997","journal-title":"B Seismol Soc Amer"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/0011-7471(73)90027-2"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.1995.tb06852.x"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1979)036<0757:STSAOR>2.0.CO;2"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2002.1049"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0485(1978)008<0644:OTIOOC>2.0.CO;2"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1785\/BSSA0890030693","article-title":"Multi-wavelet analysis of three-component seismic arrays: Application to measure effective anisotropy at Pi&#x00F1;on Flats, California","volume":"89","author":"bear","year":"1999","journal-title":"B Seismol Soc Amer"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/78\/6069620\/05985550.pdf?arnumber=5985550","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,10]],"date-time":"2024-04-10T06:02:50Z","timestamp":1712728970000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5985550\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,12]]},"references-count":47,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tsp.2011.2164914","relation":{},"ISSN":["1053-587X","1941-0476"],"issn-type":[{"value":"1053-587X","type":"print"},{"value":"1941-0476","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,12]]}}}