On interpolation by discrete splines with equidistant nodes
نویسندگان
چکیده
In this paper we consider discrete splines S(j), j ∈ Z, with equidistant nodes which may grow as O(|j|s) as |j| → ∞. Such splines are relevant for the purposes of digital signal processing. We give the definition of discrete B-splines and describe their properties. Discrete splines are defined as linear combinations of shifts of the B-splines. We present a solution to the problem of discrete spline cardinal interpolation of sequences of power growth and prove that the solution is unique within the class of discrete splines of a given order.
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