Abstract
Ocean wave spectra are complex. Because of this complexity, no widely accepted method has been developed for the comparison between two sets of paired wave spectra. A method for intercomparing wave spectra is developed based on an example paradigm of the comparison of model spectra to observed spectra. Canonical correlation analysis (CCA) is used to investigate the correlation structure of the matrix of spectral correlations. The set of N ranked canonical correlations developed through CCA (here termed the r-sequence) is shown to be an effective method for understanding the degree of correlation between sets of paired spectral observation. A standard method for intercomparing sets of wave spectra based on CCA is then described. The method is elucidated through analyses of synthetic and real spectra that span a range of correlation from random to almost equal.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2130-2146 |
| Number of pages | 17 |
| Journal | Journal of Atmospheric and Oceanic Technology |
| Volume | 32 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 1 2015 |
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Keywords
- Atm/Ocean Structure/ Phenomena
- Buoy observations
- Data processing
- Mathematical and statistical techniques
- Observational techniques and algorithms
- Principal components analysis
- Quality assurance/control
- Sea state
- Statistical techniques
ASJC Scopus subject areas
- Atmospheric Science
- Ocean Engineering
Cite this
A statistical method for correlating paired wave spectra. / Collins, Clarence O.; Linwood Vincent, C.; Graber, Hans C.
In: Journal of Atmospheric and Oceanic Technology, Vol. 32, No. 11, 01.11.2015, p. 2130-2146.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A statistical method for correlating paired wave spectra
AU - Collins, Clarence O.
AU - Linwood Vincent, C.
AU - Graber, Hans C
PY - 2015/11/1
Y1 - 2015/11/1
N2 - Ocean wave spectra are complex. Because of this complexity, no widely accepted method has been developed for the comparison between two sets of paired wave spectra. A method for intercomparing wave spectra is developed based on an example paradigm of the comparison of model spectra to observed spectra. Canonical correlation analysis (CCA) is used to investigate the correlation structure of the matrix of spectral correlations. The set of N ranked canonical correlations developed through CCA (here termed the r-sequence) is shown to be an effective method for understanding the degree of correlation between sets of paired spectral observation. A standard method for intercomparing sets of wave spectra based on CCA is then described. The method is elucidated through analyses of synthetic and real spectra that span a range of correlation from random to almost equal.
AB - Ocean wave spectra are complex. Because of this complexity, no widely accepted method has been developed for the comparison between two sets of paired wave spectra. A method for intercomparing wave spectra is developed based on an example paradigm of the comparison of model spectra to observed spectra. Canonical correlation analysis (CCA) is used to investigate the correlation structure of the matrix of spectral correlations. The set of N ranked canonical correlations developed through CCA (here termed the r-sequence) is shown to be an effective method for understanding the degree of correlation between sets of paired spectral observation. A standard method for intercomparing sets of wave spectra based on CCA is then described. The method is elucidated through analyses of synthetic and real spectra that span a range of correlation from random to almost equal.
KW - Atm/Ocean Structure/ Phenomena
KW - Buoy observations
KW - Data processing
KW - Mathematical and statistical techniques
KW - Observational techniques and algorithms
KW - Principal components analysis
KW - Quality assurance/control
KW - Sea state
KW - Statistical techniques
UR - http://www.scopus.com/inward/record.url?scp=84950285545&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84950285545&partnerID=8YFLogxK
U2 - 10.1175/JTECH-D-15-0040.1
DO - 10.1175/JTECH-D-15-0040.1
M3 - Article
VL - 32
SP - 2130
EP - 2146
JO - Journal of Atmospheric and Oceanic Technology
JF - Journal of Atmospheric and Oceanic Technology
SN - 0739-0572
IS - 11
ER -