Wavelet Toolbox

fbspwavf

Frequency B-Spline wavelets

Syntax

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

Description

[PSI,X] = fbspwavf(LB,UB,N,M,FB,FC) returns values of the complex frequency B-Spline wavelet defined by the order parameter M (M is an integer such that 1 M), a bandwidth parameter FB, and a wavelet center frequency FC.

The function PSI is computed using the explicit expression

• PSI(X) = (FB^0.5)*((sinc(FB*X/M).^M).*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 > FB/2 > 0

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

Examples

• % Set order, bandwidth and center frequency parameters.
  m = 2; fb = 1; fc = 0.5;
  
  % Set effective support and grid parameters.
  lb = -20; ub = 20; n = 1000;
  
  % Compute complex Frequency B-Spline wavelet fbsp2-1-0.5.
  [psi,x] = fbspwavf(lb,ub,n,m,fb,fc);
  
  % Plot complex Frequency B-Spline wavelet.
  subplot(211)
  plot(x,real(psi))
  title('Complex Frequency B-Spline wavelet fbsp2-1-0.5')
  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. 63.

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