Efficient multidimensional sampling scheme for Fourier transform estimation

We present a method for multidimensional Fourier transform estimation that is characterised by fast convergence rates using low sampling rates. Unlike similar methods reported in research literature, the proposed approach works efficiently even if the signal is bandpass or multiband. Therefore, such signals can be processed competently without downconversion or filtering. The performance of the developed method is analysed mathematically and illustrated by a numerical example.