Fluency DA Functions as Non-uniform Sampling Functions for Interpolating Sampled-values

摘要

Interpolation for sampled-values with non-uniform sampling points is required for various cases of signal processing. In such a case, sampling functions are useful to interpolate sampled-values and then to generate signals as a linear combination of the sampling basis weighted by a sequence of the sampled-values. This paper proposes sampling functions for non-uniform sampling points, each of which is composed with piecewise polynomials of degree 2. We name the sampling functions the fluency DA functions of degree 2. The fluency DA functions generate smooth and undulate signals from a sequence of sampled-values.