Bispectrum and Cross-Bispectrum Analysis of Wind and Currents off the Oregon Coast. I. Development.

摘要

This is the first of two reports derived from the dissertation by the senior author. In this part, the writers provide the theoretical development of the rotary component approach to the bispectrum and cross-bispectrum among vector random processes, as well as the development of a set of energy transfer functions by which the nonlinear interaction among triplet frequency components of the processes can be quantized. Statistical tests are disscussed; an appendix contains computational information. The subsequent report will provide the results of application of the rotary component method of cross-bispectrum analyses to a set of winds and current data acquired from the research buoy TOTEM.