Access the full text.
Sign up today, get DeepDyve free for 14 days.
J. Kutzbach, R. Bryson (1974)
Variance spectrum of Holocene climatic fluctuations in the North Atlantic sectorJournal of the Atmospheric Sciences, 31
G. Plaut, Michael Ghil, R. Vautard (1995)
Interannual and Interdecadal Variability in 335 Years of Central England TemperaturesScience, 268
S. Schiavon, R. Zecchin (2007)
Climate change 2007 : the physical science basis : contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change
M. Mann, J. Lees (1996)
Robust estimation of background noise and signal detection in climatic time seriesClimatic Change, 33
S. Solomon (2007)
The Physical Science Basis : Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, 996
(1992)
An Introduction to Wavelet
C. Torrence, G. Compo (1998)
A Practical Guide to Wavelet Analysis.Bulletin of the American Meteorological Society, 79
R. Narasimha, S. Bhattacharyya (2010)
A wavelet cross-spectral analysis of solar-ENSO-rainfall connections in the Indian monsoonsApplied and Computational Harmonic Analysis, 28
M. Allen, Leonard Smith (1994)
Investigating the origins and significance of low‐frequency modes of climate variabilityGeophysical Research Letters, 21
D. Gilman, F. Fuglister, J. Mitchell (1963)
On the Power Spectrum of “Red Noise”Journal of the Atmospheric Sciences, 20
We model background noise in time series of climate data as AR(1) red noise. To extract significant features of these time series, we use comparisons of wavelet power spectrum time series with that of AR(1) red noise. We improve on earlier work which has so far only relied on empirical formulas for the distribution of AR(1) red noise in Morlet wavelet power spectrum; see Torrence and Compo (Bull. Am. Meteorol. Soc. 79:61–78, 1998). Although wavelet phase distributions do play an important role in analysis of causal relations in climate time series, up to now, the wavelet phase distribution of AR(1) red noise has not been rigorously established for wavelet transforms. In this paper, we derive the formulas for both the wavelet power spectrum distribution, and the wavelet phase distribution of modulated Haar wavelet background noise. We give rigorous proofs.
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 29, 2014
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.