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# fbspwavf

Complex frequency B-spline wavelet

## 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 > 0 and > FB > 0.

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

## Examples

```% Set order, bandwidth and center frequency parameters.
m = 2; fb = 0.5; fc = 1;

% Set effective support and grid parameters.
lb = -20; ub = 20; n = 1000;

% Compute complex Frequency B-Spline wavelet fbsp2-0.5-1.
[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 fbsp2-0.5-1')
xlabel('Real part'), grid
subplot(212)
plot(x,imag(psi))
xlabel('Imaginary part'), grid
```

## References

Teolis, A. (1998), Computational signal processing with wavelets, Birkhauser, p. 63.

## See Also

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