Modified B-spline interpolators and filters: synthesis and efficient implementation

Interpolation techniques are widely used in many applications of signal processing. This paper is devoted to synthesizing and efficiently implementing a class of generalized spline-interpolators. A new parametric class of generalized B-splines is introduced. It contains as special cases B-splines and alternative B-splines. In the most general case, the proposed spline functions can be represented as a linear combination of the weighted and shifted classic B-splines of different orders. The applicability of the resulting splines to discrete-time interpolation is investigated and compared to classical splines. Furthermore, the implementation of the discrete-time interpolation with the aid of efficient digital filter structures is considered in detail