The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Evolutionary Spectra and Non-Stationary Processes
Abstract
Summary: We develop an approach to the spectral analysis of non-stationary processes which is based on the concept of “evolutionary spectra”; that is, spectral functions which are time dependent, and have a physical interpretation as local energy distributions over frequency. It is shown that the notion of evolutionary spectra generalizes the usual definition of spectra for stationary processes, and that, under certain conditions, the evolutionary spectrum at each instant of time may be estimated from a single realization of a process. By such means it is possible to study processes with continuously changing “spectral patterns”.
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Citations
Cites
Page, C. H. (1952) · Journal of Applied Physics · doi:10.1063/1.1701949 · Cited by 325
Cited by
Huang, N. E., Shen, Z., Long, S. R., Wu, M. C., Shih, H. H., Zheng, Q., Yen, N.-C., Tung, C. C., & Liu, H. H. (1998) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1998.0193 · Cited by 23,564
A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum
Huang, N. E., Shen, Z., & Long, S. R. (1999) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.31.1.417 · Cited by 2,098
Threshold Autoregression, Limit Cycles and Cyclical Data
Tong, H., & Lim, K. S. (1980) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1980.tb01126.x · Cited by 1,309
Wigner-Ville spectral analysis of nonstationary processes
Martin, W., & Flandrin, P. (1985) · IEEE Transactions on Acoustics, Speech, and Signal Processing · doi:10.1109/tassp.1985.1164760 · Cited by 554
On the robust estimation of power spectra, coherences, and transfer functions
Chave, A. D., Thomson, D. J., & Ander, M. E. (1987) · Journal of Geophysical Research: Solid Earth · doi:10.1029/jb092ib01p00633 · Cited by 349
Metadata
- Authors
- Priestley, M. B.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1965-07-01
- Volume
- 27
- Issue
- 2
- Pages
- 204-229
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W193385438
- Cited by
- 1,080
- References
- 1
- FWCI
- 3.40
- Type
- journal article
- Language
- en
- Open access
- closed
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- Priestley, M. B. (1965). Evolutionary Spectra and Non-Stationary Processes. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1965.tb01488.x
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
