A Novel Algorithm for Reconstruction of the Arbitrary Finite Duration Periodic Signals

Interpolation is a common operation in many applications, like communications, measurers, speech coding, radars, navigation systems, etc. As the information technologies advances, new fields of applications for the interpolation as a required operation to perform appears. The problem of an accurate choice of the interpolation method for specific application is relevant today. In the paper, to provide an effective reconstruction of periodic discrete-time signals in practical applications, five key requirements for the interpolation method that must be satisfied are presented. It is concerned that there is no interpolation method nowadays to be able to fully satisfy the mentioned requirements. Analysis of the sampling theorem generalizations for periodic signals is performed. A novel interpolation algorithm for the arbitrary finite duration periodic signals reconstruction is considered. The algorithm is based on using of the finite-length basis interpolation functions ones derived from the sinc-function. The advantages and disadvantaged of the new algorithm are listed. Comparison of the proposed algorithm and the existed signal reconstruction methods is performed.