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.
Result = WV_FN_SYMLET( [Order, Scaling, Wavelet, Ioff, Joff] )
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 |
A scalar that specifies the order number for the wavelet. The default is 4.
On output, contains a vector of double-precision scaling (father) coefficients.
On output, contains a vector of double-precision wavelet (mother) coefficients.
On output, contains an integer that specifies the support offset for Scaling.
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.
None.
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.
|
5.3 |
Introduced |