IDL Wavelet Toolkit User's Guide

Chapter 4: IDL Wavelet Toolkit Reference 87WV_FN_MORLETSyntaxThe WV_FN_MORLET function constructs wavelet coefficients for the Morletwavelet function. In real space, the Morlet wavelet function consists of a complexexponential modulated by a Gaussian envelope: π –1/4 s –1/2 exp[i kx/ s] exp[–(x / s) 2 /2], where s is the wavelet scale, k is a non-dimensional parameter, and x is theposition.Result = WV_FN_MORLET( [Order] [, Scale, N] [, /DOUBLE][, FREQUENCY=variable] [, /SPATIAL] [, WAVELET=variable])Return ValueThe returned value of this function is an anonymous structure of information aboutthe particular wavelet.Tag Type DefinitionFAMILY STRING ‘Morlet’ORDER_NAME STRING ‘Parameter’ORDER_RANGE DBLARR(3) [3, 24, 6] Valid orders [first, last, default]ORDER DOUBLE The chosen OrderDISCRETE INT 0 [0=continuous, 1=discrete]ORTHOGONAL INT 0 [0=nonorthogonal, 1=orthogonal]SYMMETRIC INT 1 [0=asymmetric, 1=symm.]SUPPORT DOUBLE Infinity [Compact support width]MOMENTS INT 1 [Number of vanishing moments]REGULARITY DOUBLE Infinity [Number of continuous derivatives]E_FOLDING DOUBLE SQRT(2) [Autocorrelation e-fold distance]FOURIER_PERIOD DOUBLE Ratio of Fourier wavelength to scaleTable 4-10: Structure Tags for ResultIDL Wavelet ToolkitWV_FN_MORLET