WV_FN_DAUBECHIES

The WV_FN_DAUBECHIES function constructs wavelet coefficients for the Daubechies wavelet function.

Syntax

Result = WV_FN_DAUBECHIES( [Order, Scaling, Wavelet, Ioff, Joff] )

Return Value

The returned value of this function is an anonymous structure of information about the particular wavelet.

Table 4-7: Structure Tags for Result
Tag	Type	Definition
FAMILY	STRING	`Daubechies'
ORDER_NAME	STRING	`Order'
ORDER_RANGE	INTARR(3)	[1, 24, 2] Valid order range [first, last, default]
ORDER	INT	The chosen Order
DISCRETE	INT	1 [0=continuous, 1=discrete]
ORTHOGONAL	INT	1 [0=nonorthogonal, 1=orthogonal]
SYMMETRIC	INT	0 [0=asymmetric, 1=symm., 2=near symm.]
SUPPORT	INT	2*Order – 1 [Compact support width]
MOMENTS	INT	Order [Number of vanishing moments]
REGULARITY	DOUBLE	The number of continuous derivatives

Arguments

Order

A scalar that specifies the order number for the wavelet. The default is 2.

Scaling

On output, contains a vector of double-precision scaling (father) coefficients.

Wavelet

On output, contains a vector of double-precision wavelet (mother) coefficients.

Ioff

On output, contains an integer that specifies the support offset for Scaling.

Joff

On output, contains an integer that specifies the support offset for Wavelet.

Note
If none of the above arguments are present then the function will simply return the Result structure using the default Order.

Keywords

None.

Reference

Coefficients for orders 1–10 are from Daubechies, I., 1992: Ten Lectures on Wavelets, SIAM, p. 195. Note that Daubechies has multiplied by Sqrt(2). Coefficients for orders 11–24 are from http://www.isds.duke.edu/~brani/filters.html.

Version History


5.3	Introduced