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Signal reconstruction from signed Fourier transform magnitude

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4 Author(s)
P. Van Hove ; Massachusetts Institute of Technology, Cambridge, MA, USA ; M. Hayes ; Jae Lim ; A. Oppenheim

In this paper, we show that a one-dimensional or multidimensional sequence is uniquely specified under mild restrictions by its signed Fourier transform magnitude (magnitude and 1 bit of phase information). In addition, we develop a numerical algorithm to reconstruct a one-dimensional or multidimensional sequence from its Fourier transform magnitude. Reconstruction examples obtained using this algorithm are also provided.

Published in:

IEEE Transactions on Acoustics, Speech, and Signal Processing  (Volume:31 ,  Issue: 5 )