Sampling and Interpolation of Periodic Signals
Zdravko Nikolov, Ruska Iinbor, Chavdar Korsemov, Hristo Toshev
Institute of Information Technologies, 1113 Sofia
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Abstract: The present paper discusses the sampling and restoration of periodic signals using systems of evenly shifted analyzing and synthesizing functions. The influence of these functions on the approximation accuracy as well as the requirements towards them concerning optimization of the error obtained, are shown. Some methods are considered for perfect interpolation of periodic frequency-limited functions. For such functions the interpolation with sincx functions, differing from the non-periodic ones, can be reduced to a finite number of summations. The methods for achieving computing stability are depicted.
Keywords: synthesizing and analyzing functions, bi-orthogonal functions, approximation accuracy