cmorwavf :: Functions (Wavelet Toolbox™)

cmorwavf

Purpose

Complex Morlet wavelet

Syntax

```
[PSI,X] = cmorwavf(LB,UB,N,FB,FC)
```

Description

[PSI,X] = cmorwavf(LB,UB,N,FB,FC) returns values of the complex Morlet wavelet defined by a positive bandwidth parameter FB, a wavelet center frequency FC, and the expression

PSI(X) = ((pi*FB)^(-0.5))*exp(2*i*pi*FC*X)*exp(-X^2/FB)

on an N point regular grid for the interval [LB,UB].

Output arguments are the wavelet function PSI computed on the grid X.

Examples

% Set bandwidth and center frequency parameters.
fb = 1.5; fc = 1;

% Set effective support and grid parameters.
lb = -8; ub = 8; n = 1000;

% Compute complex Morlet wavelet cmor1.5-1.
[psi,x] = cmorwavf(lb,ub,n,fb,fc);

% Plot complex Morlet wavelet.
subplot(211)
plot(x,real(psi)),
title('Complex Morlet wavelet cmor1.5-1')
xlabel('Real part'), grid
subplot(212)
plot(x,imag(psi))
xlabel('Imaginary part'), grid