% % JELLIPSE Elliptical (bivariate) time series analysis. % -- see Lilly and Gascard (2006), Nonlin. Proc. Geophys. % % Ellipse analysis of time series pairs % ellridge - Extract "elliptical" ridges for bivariate time series. % ellconv - Converts between time-varying ellipse representations. % ellsig - Creates an elliptical signal from ellipse parameters. % % Operations on elliptical time series % elldiff - Ellipse differentiation. % ellrad - Average and instantaneous ellipse radius. % ellvel - Average and instantaneous ellipse velocities. % ellband - Elliptical bandwidth of bivariate signal or wavelet transform. % ellipseplot - Plot ellipses. % % Other conversions % transconv - Convert between widely linear transform pairs. % ecconv - Convert between eccentricity measures. % kl2ab - Converts ellipse parameters Kappa and Lambda to A and B. % ab2kl - Converts A and B to ellipse parameters Kappa and Lambda. % % Polarization analysis of spectral matrices % normform - Convert a complex-valued vector into "normal form". % specdiag - Diagonalize a 2 x 2 spectral matrix. % walpha - Widely linear transform anisotropy parameters. % polparam - Spectral matrix polarization parameters. % % Low-level ellipse code % ellipsetest - Run tests on ellipse code. % randspecmat - Generates random 2x2 spectral matrices for testing. % mandn - Widely linear transformation matrices M and N. % _________________________________________________________________ % This is part of JLAB --- type 'help jlab' for more information % (C) 2007 J.M. Lilly --- type 'help jlab_license' for details