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.
Keywords
None.
Version History
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