Reconstruction of a Finite-Spectrum Field on the Basis of Samples of Filtering-System Signals

The article investigate the possibility of reconstructing a field (function of several variables) on the basis of of samples of signals at the outputs of a fixed number of independent filters. Samples are taken at points forming a regular spatial lattice. Constraints are found on the dimensions and shape of the finiteness region of the spectrum, such that the field can be represented as an analog of the Kotel'nikov–Shannon expansion.