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# shanwavf

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, Birkäuser, p. 62.