Exponential approximation by the ξ-transform method: Theory and applications

The new method of interpolation/approximation of single-dimension functions by the exponential polynomials (in the general case, complex polynomials) is suggested. A solution is based on the ξ-transform od complex functions, which are given by the discrete set of equidistant samples. This problem is solved for dynamic systems with fundamental frequencies of any order. The operator model of the high-frequency front-end is synthesized for the on-board receiver of the data transmission system.