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 return the Result structure using the default Order.

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.