Wavelet Toolbox™

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
  
  
  

See Also
waveinfo

References

Teolis, A. (1998), Computational signal processing with wavelets, Birkhauser, p. 65.

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