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cgauwavf

Complex Gaussian wavelet

Syntax

[PSI,X] = cgauwavf(LB,UB,N)
[PSI,X] = gauswavf(LB,UB,N,P)
[PSI,X] = gauswavf(LB,UB,N,WAVNAME)

Description

[PSI,X] = cgauwavf(LB,UB,N) returns the 1st order derivative of the complex-valued Gaussian wavelet, PSI, on an N-point regular grid, X, for the interval [LB,UB]. The effective support of the complex-valued Gaussian wavelets is [-5 5].

[PSI,X] = gauswavf(LB,UB,N,P) returns the Pth derivative. Valid values of P are integers from 1 to 8.

The complex Gaussian function is defined as Cpeixex2. Cp is such that the 2-norm of the Pth derivative of PSI is equal to 1.

[PSI,X] = gauswavf(LB,UB,N,WAVNAME) uses the valid wavelet family short name WAVNAME plus the order of the derivative in a character vector, such as 'cgau4'. To see valid character vectors for complex-valued Gaussian wavelets, use waveinfo('cgau') or use wavemngr('read',1) and refer to the Complex Gaussian section.

Examples

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This example shows how to create a complex-valued Gaussian wavelet of order 4. The wavelet has an effective support of [-5,5] and is constructed using 1,000 samples.

lb = -5; 
ub = 5; 
n = 1000;
order = 4;
[psi,x] = cgauwavf(lb,ub,n,order);
subplot(211)
plot(x,real(psi))
title('Real Part');
subplot(212)
plot(x,imag(psi))
title('Imaginary Part');

See Also

Introduced before R2006a

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