Global Phase Angle Research Articles

Global Phase Angle Description of Generalized Two-Dimensional Correlation Spectroscopy: 1. Theory and its Simulation for Practical Use

The concept of a global phase map derived from generalized two-dimensional synchronous and asynchronous correlation spectra is introduced to extract the purely correlational information by intentionally canceling amplitude information. For the practical usage of a global 2D phase map, a filtering method based on the standard deviation spectrum obtained from the time series intensity profiles is proposed to remove the effect of small amplitude noise. A simulation created with the use of three synthesized bands with exponential decay has clearly detected the only difference in the characteristic rate constant of the decay process in the global 2D phase map, although the three bands have different initial values of the peak intensity amplitudes.

Inclusion of tidal parameters in satellite altimetry adjustment model

Abstract In the short‐arc algorithm used at AFGL, the data consist of altimeter observations. The smoothed surface approximating the geoid is described by a truncated set of spherical‐harmonic potential coefficients, and each satellite arc is described by six state vector components. Certain tidal effects are also included in the adjustment model. However, each tidal constituent considered is attributed to only two adjustable parameters: a global amplitude factor and a global phase angle correction. These parameters, representing very special linear combinations of spherical‐harmonic tidal coefficients, are essentially uncontaminated by geoidal errors or systematic orbital errors. Such an advantage would not exist if the adjustment were made in terms of the tidal coefficients themselves. Satellite altimetry adjustment with tidal parameters yields the geoidal residuals which can serve in a variety of tasks, such as studying ocean‐bottom phenomena, refining the geoidal resolution on a regional scale (which ...