Signal Reconstruction From Fourier Transform Amplitude

Patrick L. Van Hove; Jae S. Lim; Alan V. Oppenheim

doi:10.1117/12.965968

17 March 1983 Signal Reconstruction From Fourier Transform Amplitude

Patrick L. Van Hove, Jae S. Lim, Alan V. Oppenheim

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Proceedings Volume 0359, Applications of Digital Image Processing IV; (1983) https://doi.org/10.1117/12.965968
Event: 26th Annual Technical Symposium, 1982, San Diego, United States

Abstract

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

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Patrick L. Van Hove, Jae S. Lim, and Alan V. Oppenheim "Signal Reconstruction From Fourier Transform Amplitude", Proc. SPIE 0359, Applications of Digital Image Processing IV, (17 March 1983); https://doi.org/10.1117/12.965968

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