Current Development in Theory and Applications of Wavelets
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Abstract: B-spline signal processing is an important tool in
signal processing society. B-splines can be adapted in interpolation and
approximation of underlying continuous signals and systems, adjustment of
fractional time delays in communication devices and in numerical signal
analysis. In this work, we introduce the shifted B-spline interpolation
algorithm, where the B-spline kernel is shifted by a fraction D of the sampling
period. Experimental tests show that the interpolation error is strongly
dependent on and attains
a minimum at We describe the z-transform
filter for efficient parallel implementation of the shifted B-spline
interpolation algorithm. The performance of the D-shifted B-spine interpolation filter is significantly higher compared
with the cubic convolution interpolation and the standard B-spline
interpolation.
Keywords and phrases: B-splines, interpolation, signal approximation, fractional delay filters, numerical analysis, adaptive systems, microprocessors, VLSI.
