{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,25]],"date-time":"2026-01-25T09:11:22Z","timestamp":1769332282756,"version":"3.49.0"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2004,12]]},"abstract":"<jats:p>We investigate the use of Hilbert wavelet pairs (HWPs) in the non-decimated discrete wavelet transform for the time-varying spectral analysis of multivariate time series. HWPs consist of two high-pass and two low-pass compactly supported filters, such that one high-pass filter is the Hilbert transform (approximately) of the other. Thus, common quantities in the spectral analysis of time series (e.g., power spectrum, coherence, phase) may be estimated in both time and frequency. Compact support of the wavelet filters ensures that the frequency axis will be partitioned dyadically as with the usual discrete wavelet transform. The proposed methodology is used to analyze a bivariate time series of zonal (u) and meridional (v) winds over Truk Island.<\/jats:p>","DOI":"10.1142\/s0219691304000652","type":"journal-article","created":{"date-parts":[[2004,12,1]],"date-time":"2004-12-01T10:59:25Z","timestamp":1101898765000},"page":"567-587","source":"Crossref","is-referenced-by-count":35,"title":["MULTIVARIATE SPECTRAL ANALYSIS USING HILBERT WAVELET PAIRS"],"prefix":"10.1142","volume":"02","author":[{"given":"BRANDON","family":"WHITCHER","sequence":"first","affiliation":[{"name":"Geophysical Statistics Project, National Center for Atmospheric Research, P.O. Box 3000, Boulder, Colorado 80307-3000, United States"}]},{"given":"PETER F.","family":"CRAIGMILE","sequence":"additional","affiliation":[{"name":"Department of Statistics, The Ohio State University, 1958 Neil Avenue, Cockins Hall, Room 404, Columbus, Ohio 43210-1247, United States"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","volume-title":"Random Data: Analysis and Measurement Procedures","author":"Bendat J. S.","year":"1986"},{"key":"rf2","series-title":"Monographs on Statistics and Applied Probability","volume-title":"Statistics for Long-Memory Processes","volume":"61","author":"Beran J.","year":"1994"},{"key":"rf3","series-title":"Holden-Day Series in Time Series Analysis","volume-title":"Time Series: Data Analysis and Theory","author":"Brillinger D. 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