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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 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.