Wavelet Toolbox™

Complex Shannon wavelet

Syntax

• [PSI,X] = shanwavf(LB,UB,N,FB,FC)
  

Description

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

• PSI(X) = (FB^0.5)*(sinc(FB*X).*exp(2*i*pi*FC*X))
  

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

FB and FC must be such that FC > 0 and FB > 0.

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

Examples

• % Set bandwidth and center frequency parameters.
  fb = 1; fc = 1.5;
  
  % Set effective support and grid parameters.
  lb = -20; ub = 20; n = 1000;
           
  % Compute complex Shannon wavelet shan1.5-1.
  [psi,x] = shanwavf(lb,ub,n,fb,fc);
  
  % Plot complex Shannon wavelet.
  subplot(211)
  plot(x,real(psi)),
  title('Complex Shannon wavelet shan1.5-1')
  xlabel('Real part'), grid
  subplot(212)
  plot(x,imag(psi))
  xlabel('Imaginary part'), grid
  
  
  

References

Teolis, A. (1998), Computational signal processing with wavelets, Birkhäuser, p. 62.

See Also

waveinfo

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