The detection of coastal-trapped waves

Journal of Geophysical Research C: Oceans
By: , and 

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Abstract

We outline a simple method for estimating the cross-spectral matrix of coastal-trapped wave amplitudes,A, from a set of oceanographic observations. Specifically, we propose that A may be estimated by (M'M)-1M'UM(M'M)-1 where a prime denote conjugate transpose, U is the sample cross-spectral matrix of observations and M is a matrix which has the spatial form of the waves for columns. In general, M will be complex and frequency-dependent. We discuss the bias of this estimator and show how to estimate the variance of the power and cross spectra of wave amplitudes. We also outline an ad hoc scheme for assessing the predictive skill of the coastal trapped wave representation and finally give some advice on how to interpret A. Although the method is presented in the context of shelf circulation and coastal trapped waves, it may be applied to any linear system where the spatial forms of the waves are known and the cross-spectral matrix of their amplitudes is required.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title The detection of coastal-trapped waves
Series title Journal of Geophysical Research C: Oceans
DOI 10.1029/90JC02218
Volume 96
Issue C2
Year Published 1991
Language English
Publisher American Geophysical Union
Publisher location Richmond, VA
Contributing office(s) Woods Hole Coastal and Marine Science Center
Description 5 p.
First page 2593
Last page 2597
Online Only (Y/N) N
Additional Online Files (Y/N) N