{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T14:29:39Z","timestamp":1742394579360,"version":"3.30.1"},"reference-count":35,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[2000,3,1]],"date-time":"2000-03-01T00:00:00Z","timestamp":951868800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of the Franklin Institute"],"published-print":{"date-parts":[[2000,3]]},"DOI":"10.1016\/s0016-0032(00)00018-1","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T02:36:39Z","timestamp":1027650999000},"page":"217-249","source":"Crossref","is-referenced-by-count":5,"title":["On some classes of nonstationary parametric processes"],"prefix":"10.1016","volume":"337","author":[{"given":"J.A.","family":"Sills","sequence":"first","affiliation":[]},{"given":"E.W.","family":"Kamen","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"year":"1988","author":"Kay","series-title":"Modern Spectral Estimation","key":"10.1016\/S0016-0032(00)00018-1_BIB1"},{"year":"1974","author":"Koopmans","series-title":"The Spectral Analysis of Time Series","key":"10.1016\/S0016-0032(00)00018-1_BIB2"},{"year":"1988","author":"Priestley","series-title":"Non-Linear and Non-Stationary Time Series Analysis","key":"10.1016\/S0016-0032(00)00018-1_BIB3"},{"key":"10.1016\/S0016-0032(00)00018-1_BIB4","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1111\/j.2517-6161.1965.tb01488.x","article-title":"Evolutionary spectra and non-stationary processes","volume":"27","author":"Priestley","year":"1965","journal-title":"J. Roy. Stat. Soc. Ser. B"},{"key":"10.1016\/S0016-0032(00)00018-1_BIB5","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1111\/j.2517-6161.1969.tb00775.x","article-title":"A test for non-stationarity of time-series","volume":"31","author":"Priestley","year":"1969","journal-title":"J. Roy. Stat. Soc. Ser. B"},{"key":"10.1016\/S0016-0032(00)00018-1_BIB6","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1109\/JRPROC.1950.231083","article-title":"Frequency analysis of variable networks","volume":"38","author":"Zadeh","year":"1950","journal-title":"Proc. I.R.E."},{"key":"10.1016\/S0016-0032(00)00018-1_BIB7","doi-asserted-by":"crossref","first-page":"831","DOI":"10.2307\/1425937","article-title":"Spectral generating operators for non-stationary processes","volume":"8","author":"Tjostheim","year":"1976","journal-title":"Adv. Appl. Probab."},{"issue":"6","key":"10.1016\/S0016-0032(00)00018-1_BIB8","doi-asserted-by":"crossref","first-page":"1520","DOI":"10.1109\/78.599994","article-title":"Generalized evolutionary spectral analysis and the Weyl spectrum of nonstationary processes","volume":"45","author":"Matz","year":"1997","journal-title":"IEEE Trans. Signal Process."},{"issue":"1","key":"10.1016\/S0016-0032(00)00018-1_BIB9","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1109\/78.552218","article-title":"On the transfer function calculus for underspread LTV channels","volume":"45","author":"Kozek","year":"1997","journal-title":"IEEE Trans. Signal Process."},{"issue":"8","key":"10.1016\/S0016-0032(00)00018-1_BIB10","doi-asserted-by":"crossref","first-page":"4041","DOI":"10.1063\/1.532495","article-title":"Time-frequency transfer function calculus (symbolic calculus) of linear time-varying systems (linear operators) based on a generalized underspread theory","volume":"39","author":"Matz","year":"1998","journal-title":"J. Math. Phys."},{"key":"10.1016\/S0016-0032(00)00018-1_BIB11","doi-asserted-by":"crossref","first-page":"570","DOI":"10.1111\/j.2517-6161.1967.tb00718.x","article-title":"On the prediction of non-stationary processes","volume":"29","author":"Abdrabbo","year":"1967","journal-title":"J. Roy. Stat. Soc. Ser. B"},{"issue":"2","key":"10.1016\/S0016-0032(00)00018-1_BIB12","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1111\/j.2517-6161.1970.tb00844.x","article-title":"The fitting of non-stationary time-series models with time-dependent parameters","volume":"32","author":"Rao","year":"1970","journal-title":"J. Roy. Stat. Soc. Ser. B"},{"key":"10.1016\/S0016-0032(00)00018-1_BIB13","doi-asserted-by":"crossref","first-page":"1288","DOI":"10.1121\/1.380811","article-title":"Linear estimation of nonstationary signals","volume":"58","author":"Liporace","year":"1975","journal-title":"J. Acoust. Soc. Am."},{"key":"10.1016\/S0016-0032(00)00018-1_BIB14","first-page":"1085","article-title":"Time-varying parametric modeling of speech","author":"Hall","year":"1977","journal-title":"IEEE Proceedings of the Conference on Decision and Control"},{"key":"10.1016\/S0016-0032(00)00018-1_BIB15","first-page":"681","article-title":"Rational non-stationary spectra and their estimation","author":"Grenier","year":"1981","journal-title":"ASSP Workshop on Spectral Estimation, 1st, Hamilton Ontario"},{"issue":"4","key":"10.1016\/S0016-0032(00)00018-1_BIB16","doi-asserted-by":"crossref","first-page":"899","DOI":"10.1109\/TASSP.1983.1164152","article-title":"Time-dependent ARMA modeling of nonstationary signals","volume":"ASSP-31","author":"Grenier","year":"1983","journal-title":"IEEE Trans. Acoust. Speech Signal Process"},{"unstructured":"M. Hallin, J.F. Ingenbleek, The model-building problem for nonstationary multivariate autoregressive processes, Time Ser. Anal.: Theory Practice (1982) 599\u2013606.","key":"10.1016\/S0016-0032(00)00018-1_BIB17"},{"issue":"1","key":"10.1016\/S0016-0032(00)00018-1_BIB18","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1214\/aos\/1176346400","article-title":"Spectral factorization of nonstationary moving average processes","volume":"12","author":"Hallin","year":"1984","journal-title":"Ann. Stat."},{"key":"10.1016\/S0016-0032(00)00018-1_BIB19","doi-asserted-by":"crossref","first-page":"170","DOI":"10.2307\/1427242","article-title":"Non-stationary q-dependent processes and time-varying moving-average models: invertibility properties and the forecasting problem","volume":"18","author":"Hallin","year":"1986","journal-title":"Adv. Appl. Probab."},{"issue":"5","key":"10.1016\/S0016-0032(00)00018-1_BIB20","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1109\/TASSP.1986.1164926","article-title":"Unbiased parameter estimation of nonstationary signals in noise","volume":"ASSP-34","author":"Alengrin","year":"1986","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"10.1016\/S0016-0032(00)00018-1_BIB21","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/0165-1684(87)90002-8","article-title":"Results on AR-modelling of nonstationary signals","volume":"12","author":"Charbonnier","year":"1987","journal-title":"Signal Process."},{"issue":"1","key":"10.1016\/S0016-0032(00)00018-1_BIB22","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1111\/j.1467-9892.1993.tb00128.x","article-title":"Estimation of the non-stationary factor in ARUMA models","volume":"14","author":"Huang","year":"1993","journal-title":"J. Time Ser. Anal."},{"issue":"1","key":"10.1016\/S0016-0032(00)00018-1_BIB23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1214\/aos\/1034276620","article-title":"Fitting time series models to nonstationary processes","volume":"25","author":"Dahlhaus","year":"1997","journal-title":"Ann. Stat."},{"unstructured":"T. Kailath, Sampling models for linear time-variant filters, MIT Research Laboratory Electronics, Techanical Report 352, May 1959.","key":"10.1016\/S0016-0032(00)00018-1_BIB24"},{"year":"1980","author":"Kailath","series-title":"Linear Systems","key":"10.1016\/S0016-0032(00)00018-1_BIB25"},{"unstructured":"Y. Grenier, Parametric time-frequency representations, in: Traitement du Signal\/Signal Processing, Lacoume, J.L., Durani, T.S., Stora, R. (Eds.), Les Houches, Session XLV, Vol. 1, North-Holland, Amsterdam, 1987, pp. 339\u2013397.","key":"10.1016\/S0016-0032(00)00018-1_BIB26"},{"issue":"8","key":"10.1016\/S0016-0032(00)00018-1_BIB27","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1109\/TCS.1980.1084879","article-title":"On linear shift-variant digital filters","volume":"CAS-27","author":"Huang","year":"1980","journal-title":"IEEE Trans. Circuits Systems"},{"unstructured":"J.A. Sills, E.W. Kamen, On classes of nonstationary parametric processes, Proceedings of the 29th Conference on Information Science and Systems, Johns Hopkins University, March 1995, pp. 136\u2013141.","key":"10.1016\/S0016-0032(00)00018-1_BIB28"},{"unstructured":"J.A. Sills, Nonstationary signal modeling, filtering, and parameterization, Ph.D. Thesis, Georgia Institute of Technology, Atlanta, Georgia, 1995.","key":"10.1016\/S0016-0032(00)00018-1_BIB29"},{"year":"1998","author":"Stakgold","series-title":"Green's Function and Boundary Value Problems","key":"10.1016\/S0016-0032(00)00018-1_BIB30"},{"unstructured":"H. Cram\u00e9r, On some classes of non-stationary stochastic processes. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, California, Vol. 2, 1961, pp. 57\u201378.","key":"10.1016\/S0016-0032(00)00018-1_BIB31"},{"key":"10.1016\/S0016-0032(00)00018-1_BIB32","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1109\/TCOM.1963.1088793","article-title":"Characterization of randomly time-variant linear channels","volume":"11","author":"Bello","year":"1963","journal-title":"IEEE Trans. Commun. Syst."},{"year":"1989","author":"Folland","series-title":"Harmonic Analysis in Phase Space","key":"10.1016\/S0016-0032(00)00018-1_BIB33"},{"issue":"7","key":"10.1016\/S0016-0032(00)00018-1_BIB34","article-title":"Minimum order input-output equation for linear time-varying digital filters","volume":"5","author":"Zhang","year":"1998","journal-title":"IEEE Signal Process. Lett."},{"issue":"2","key":"10.1016\/S0016-0032(00)00018-1_BIB35","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1111\/j.1467-9892.1994.tb00182.x","article-title":"Stationary and nonstationary state space models","volume":"15","author":"Jong","year":"1994","journal-title":"J. Time Ser. Anal."}],"container-title":["Journal of the Franklin Institute"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003200000181?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003200000181?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,12,6]],"date-time":"2024-12-06T15:31:08Z","timestamp":1733499068000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0016003200000181"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,3]]},"references-count":35,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2000,3]]}},"alternative-id":["S0016003200000181"],"URL":"https:\/\/doi.org\/10.1016\/s0016-0032(00)00018-1","relation":{},"ISSN":["0016-0032"],"issn-type":[{"type":"print","value":"0016-0032"}],"subject":[],"published":{"date-parts":[[2000,3]]}}}