Wavelet Toolbox

cgauwavf

Complex Gaussian wavelets

Syntax

• [PSI,X] = cgauwavf(LB,UB,N,P)
  

Description

[PSI,X] = cgauwavf(LB,UB,N,P) returns values of the P-th derivative of the complex Gaussian function on an N point regular grid for the interval [LB,UB]. Cp is such that the 2-norm of the P-th derivative of F is equal to 1.

For P > 8, the Extended Symbolic Toolbox will be required.

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

[PSI,X] = cgauwavf(LB,UB,N) is equivalent to
[PSI,X] = cgauwavf(LB,UB,N,1)

These wavelets have an effective support of [-5 5].

Examples

• % Set effective support and grid parameters.
  lb = -5; ub = 5; n = 1000;
  
  % Compute complex Gaussian wavelet of order 4.
  [psi,x] = cgauwavf(lb,ub,n,4);
  
  % Plot complex Gaussian wavelet of order 4.
  subplot(211)
  plot(x,real(psi)),
  title('Complex Gaussian wavelet of order 4')
  xlabel('Real part'), grid
   subplot(212)
   plot(x,imag(psi))
   xlabel('Imaginary part'), grid
  
  
  

See Also
waveinfo

cfs2wpt

cmorwavf