SYSTEM, METHOD, APPARATUS, AND COMPUTER PROGRAM PRODUCT FOR CALCULATING A SAMPLED SIGNAL

A method, apparatus, and computer program product for calculating a sampled signal are disclosed. A method in accordance with the disclosure may include determining discrete samples of a continuous signal having a finite spectrum and using a function series expansion to calculate at least a portion of the continuous signal over the discrete samples. In accordance with some embodiments, an original signal may be calculated over discrete samples with arbitrary accuracy. Polyphase filtering is not used in some embodiments. Some embodiments can be used for arbitrary, including irrational, variation of the sampling rate of the signal with a bounded spectrum. Some embodiments provide for much faster calculation than direct application of the Kotelnikov (Nyquist-Shannon) theorem. In some embodiments, the calculation may be performed according to the disclosed theorem but, instead of discrete signal convolutions with kernels having different phases, a function series expansion may be used.