Multidimensional/multiresolution Fourier estimation of signals

摘要

We genralized the short time Fourier transform and the cross spectral methods developed by the author and others over the past two decades. The method presented is based on applicatiojn of a multidimensional Fourier transform. Each iteration of the Fourier transform channelizes the signal into successively narrower channels, and a single application of phases differentiation stabilizes the Fourier phase and effectively places all the signal component in their correct location in the spectrum. Finary, it is shown that it is possible to eecover spectral components from spectral observations which are remote from the components being estimated.