HR: 1340h
AN: NG23D-0109    [Abstracts]
TI: Rotation Matrix Method for Analyzing Noisy Nonlinear Data
AU: * Chu, P C
EM: pcchu@nps.edu
AU: Ivanov, L M
EM: lmivanov@nps.edu
AU: Margolina, T M
EM: margolina@nps.edu
AB: Analysis on noisy nonlinear data is to solve a set of algebraic equations. Three factors affect the accuracy of reconstruction: (a) large condition number of the coefficient matrix, (b) high noise-to-signal ratio in the source term, and (c) no a-priori knowledge of noise statistics. To improve the reconstruction accuracy, the set of linear algebraic equations is transformed into a new one with minimum condition number and noise-to-signal ratio using the rotation matrix. The procedure does not require any knowledge of low-order statistics of noises. Several examples including highly distorted Lorenz attractor, Black Sea circulations illustrate the benefit of using this procedure.
UR: http://www.oc.nps.navy.mil/~chu
DE: 1600 GLOBAL CHANGE
DE: 1800 HYDROLOGY
DE: 3200 MATHEMATICAL GEOPHYSICS (0500, 4400, 7833)
DE: 3300 ATMOSPHERIC PROCESSES
DE: 4200 OCEANOGRAPHY: GENERAL
SC: Nonlinear Geophysics [NG]
MN: Fall Meeting 2005