In this paper, we present some useful results related with the sampling theorem and the reconstruction formula. The first of them regards a relation existing between bandwidths of interpolating functions different from a perfectreconstruction one and the bandwidth of the latter. Furthermore, we prove here that two non-identical interpolating functions can have the same bandwidths if and only if their (same) bandwidth is a multiple of the bandwidth of an original unsampled signal. The next result shows that sets of sampling points of two nonidentical (but not necessarily interpolating) functions possessing different bandwidths are unique for all sampling periods smaller or equal to a given period (calculated in a theorem provided). These results are completed by the following one: in case of two different signals possessing the same bandwidth but different spectra shapes, their sets of sampling points must differ from each other.

JO - International Journal of Electronics and Telecommunications L1 - http://www.czasopisma.pan.pl/Content/113305/PDF/63.pdf L2 - http://www.czasopisma.pan.pl/Content/113305 PY - 2019 IS - No 3 EP - 475 KW - sampling theorem KW - cardinal series KW - reconstruction formula A1 - Borys, Andrzej PB - Polish Academy of Sciences Committee of Electronics and Telecommunications VL - vol. 65 JF - International Journal of Electronics and Telecommunications SP - 471 T1 - Some Useful Results Related with Sampling Theorem and Reconstruction Formula DA - 2019.09.06 UR - http://www.czasopisma.pan.pl/dlibra/docmetadata?id=113305 DOI - 10.24425/ijet.2019.129801 ER -