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AIRefine

Average-Interpolating Refinement Scheme

Calling Sequence

fine = AIRefine(coarse,D,Filter,EF)

Parameters

Inputs:

coarse:

1-d signal at a coarse scale: length(coarse)=n

D :

D degree of polynomials used for interpolation

Filter:

interpolating filter from MakeAIFilter(D)

EF :

Boundary filter from MakeAIBdryFilter(D)

Outputs:

fine :

1-d signal at a fine scale: length(fine) = 2*n

Description

Average-Interpolating Refinement scheme is used to refine boxcar averages on a grid of n points, imputing averages on a finer grid of 2n points.

The average of imputed pairs at (2*i-1,2i) at fine scale reproduce values i at the coarse scale; the pairs are obtained by polynomial interpolation of the coarse averages near i.

See also

Authors

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