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Meaning of formulation of generalized inverse Kotelnikov’s theorem

Authors: Pobedonostsev V.A. Published: 05.07.2015
Published in issue: #4(28)/1997  
DOI:

 
Category: Radio Engineering and Communication | Chapter: Systems, Networks, and Telecommunication Devices  
Keywords:

On the basis of known mathematical facts a formulation of generalized inverse Kotelnikov’s theorem is considered for continuous signals presented by a Fourier series in non-trigonometric ortogonal systems. An algorithm is proposed basing on the mentioned theorem as that of existence, for transforming the equally spaced readings into the non-equally spaced ones with approximation of intermediate signals by splines and appropriate choice of approximation nodes.