Wavelet Toolbox™

Complex Gaussian wavelet

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, Symbolic Math Toolbox™ software is 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

Provide feedback about this page

cfs2wpt

chgwdeccfs

© 1984-2008- The MathWorks, Inc.    -   Site Help   -   Patents   -   Trademarks   -   Privacy Policy   -   Preventing Piracy   -   RSS