Package gmisclib :: Module ortho_poly :: Class SLTB

Class SLTB

Smooth Local Trigonometric Basis. From Bj\:orn Jawerth, Yi Liu, Wim Sweldens, "Signal Compression with Smooth Local Basis Functions".

Instance Methods

__init__(self, n=None, x=None, eps=0.5)
Argument n is how many points you want the polynomials evaluated at.

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compute(self, n)

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r(self, x)
This must have l**2+r**2==1

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b(self, x)

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wt_(self)

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x_(self, m)
Calculates the points at which the function is evaluated, if you want m evenly spaced points.

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P(self, i)
Self.P(i) is the ith orthogonal polynomial. (Inherited from gmisclib.ortho_poly.ortho)

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expand(self, c) (Inherited from gmisclib.ortho_poly.ortho)

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wt(self)
Weighting function to get orthonormality. (Inherited from gmisclib.ortho_poly.ortho)

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Static Methods

test()

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Class Variables
	__doc__ = `"""Smooth Local Trigonometric Bas...`
	name = `'SLTB'`
	registry = `{}` (Inherited from gmisclib.ortho_poly.ortho)

Method Details

init(self, n=None, x=None, eps=0.5)
(Constructor)

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Argument n is how many points you want the polynomials evaluated at. The ordinates of the points are placed in self.x. You may alternatively specify the points as argument x, in which case the x_() function will never be called.

Overrides: ortho.__init__: (inherited documentation)

compute(self, n)

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Overrides: ortho.compute

wt_(self)

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Overrides: ortho.wt_

x_(self, m)

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Calculates the points at which the function is evaluated, if you want m evenly spaced points. The function is assumed to range over the open interval (-eps, 1+eps). You can override this function in a subclass to get a different range.

Overrides: ortho.x_

Class Variable Details

doc

Value:

"""Smooth Local Trigonometric Basis.
		From Bj\:orn Jawerth, Yi Liu, Wim Sweldens,
		"Signal Compression with Smooth Local Basis Functions".
		"""

Class SLTB

__init__(self, n=None, x=None, eps=0.5) (Constructor)

compute(self, n)

wt_(self)

x_(self, m)

__doc__

init(self, n=None, x=None, eps=0.5)
(Constructor)

doc