13 November 2000 Multidimensional/multiresolution Fourier estimation of signals
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We generalized 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 application of a multidimensional Fourier transform. Each iteration of the Fourier transform channelizes the signal into successively narrower channels, and a single application of phase differentiation stabilizes the Fourier phase and effectively places all the signal component in their correct location in the spectrum. Finally, it is shown that it is possible to recover spectral components from spectral observations which are remote from the components being estimated.
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Douglas J. Nelson, Douglas J. Nelson, "Multidimensional/multiresolution Fourier estimation of signals", Proc. SPIE 4116, Advanced Signal Processing Algorithms, Architectures, and Implementations X, (13 November 2000); doi: 10.1117/12.406486; https://doi.org/10.1117/12.406486


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