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WV_FN_SYMLET

WV_FN_SYMLET

The WV_FN_SYMLET function constructs wavelet coefficients for the Symlet wavelet function.

Note: The Symlet wavelet for orders 1–3 are the same as the Daubechies wavelets of the same order.

Syntax


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

Return Value


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

Tag

Type

Definition

FAMILY

STRING

‘Symlet’

ORDER_NAME

STRING

‘Order’

ORDER_RANGE

INTARR(3)

[1, 15, 4] 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

2 [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 4.

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.

Version History


5.3

Introduced

Resources and References


Coefficients for orders 1–10 are from Daubechies, I., 1992: Ten Lectures on Wavelets, SIAM, p. 198. Note that Daubechies has multiplied by Sqrt(2), and for some orders the coefficients are reversed. Coefficients for orders 11–15 are from http://www.isds.duke.edu/~brani/filters.html.

See Also


WV_DWT, WV_FN_COIFLET, WV_FN_DAUBECHIES, WV_FN_HAAR



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